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<h2>SL Paper 1</h2><div class="specification">
<p>In the Canadian city of Ottawa:</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\begin{array}{*{20}{l}} {{\text{97%&nbsp; of the population speak English,}}} \\ {{\text{38%&nbsp; of the population speak French,}}} \\ {{\text{36%&nbsp; of the population speak both English and French.}}} \end{array}">
  <mtable columnalign="left" rowspacing="4pt" columnspacing="1em">
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>97%&nbsp; of the population speak English,</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>38%&nbsp; of the population speak French,</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>36%&nbsp; of the population speak both English and French.</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
  </mtable>
</math></span></p>
</div>

<div class="specification">
<p>The total population of Ottawa is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="985\,000">
  <mn>985</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>000</mn>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage of the population of Ottawa that speak English but not French.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the number of people in Ottawa that speak both English and French.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down your answer to part (b) in the form <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a \times {10^k}">
  <mi>a</mi>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mi>k</mi>
    </msup>
  </mrow>
</math></span> where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 \leqslant a &lt; 10">
  <mn>1</mn>
  <mo>⩽</mo>
  <mi>a</mi>
  <mo>&lt;</mo>
  <mn>10</mn>
</math></span> and <em>k </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" \in \mathbb{Z}">
  <mo>∈</mo>
  <mrow>
    <mi mathvariant="double-struck">Z</mi>
  </mrow>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="97 - 36">
  <mn>97</mn>
  <mo>−</mo>
  <mn>36</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for subtracting 36 from 97.</p>
<p> </p>
<p><strong>OR</strong></p>
<p><img src="images/Schermafbeelding_2017-08-15_om_12.54.01.png" alt="M17/5/MATSD/SP1/ENG/TZ1/02.a/M"></p>
<p><strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for 61 <strong>and </strong>36 seen in the correct places in the Venn diagram.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 61{\text{ }}(\% )">
  <mo>=</mo>
  <mn>61</mn>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi mathvariant="normal">%</mi>
  <mo stretchy="false">)</mo>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Accept 61.0 (%).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{36}}{{100}} \times 985\,000">
  <mfrac>
    <mrow>
      <mn>36</mn>
    </mrow>
    <mrow>
      <mn>100</mn>
    </mrow>
  </mfrac>
  <mo>×</mo>
  <mn>985</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>000</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for multiplying 0.36 (or equivalent) by <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="985\,000">
  <mn>985</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>000</mn>
</math></span>.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 355\,000{\text{ }}(354\,600)">
  <mo>=</mo>
  <mn>355</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>000</mn>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>354</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>600</mn>
  <mo stretchy="false">)</mo>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3.55 \times {10^5}{\text{ }}(3.546 \times {10^5})">
  <mn>3.55</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>3.546</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
  <mo stretchy="false">)</mo>
</math></span>     <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong><em>     </em><strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A1)(ft) </em></strong>for 3.55 (3.546) <strong>must </strong>match part (b), and <strong><em>(A1)(ft)</em></strong> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" \times {10^5}">
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
</math></span>.</p>
<p>Award <strong><em>(A0)(A0) </em></strong>for answers of the type: <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="35.5 \times {10^4}">
  <mn>35.5</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>4</mn>
    </msup>
  </mrow>
</math></span>. Follow through from part (b).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The following table shows the probability distribution of a discrete random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
  <mi>A</mi>
</math></span>, in terms of an angle <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\theta ">
  <mi>θ<!-- θ --></mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_09.10.36.png" alt="M17/5/MATME/SP1/ENG/TZ1/10"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  = \frac{3}{4}"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>=</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </math></span>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \theta  &gt; 0"> <mi>tan</mi> <mo>⁡</mo> <mi>θ</mi> <mo>&gt;</mo> <mn>0</mn> </math></span>, find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \theta "> <mi>tan</mi> <mo>⁡</mo> <mi>θ</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = \frac{1}{{\cos x}}"> <mi>y</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mi>cos</mi> <mo>⁡</mo> <mi>x</mi> </mrow> </mfrac> </math></span>, for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 &lt; x &lt; \frac{\pi }{2}"> <mn>0</mn> <mo>&lt;</mo> <mi>x</mi> <mo>&lt;</mo> <mfrac> <mi>π</mi> <mn>2</mn> </mfrac> </math></span>. The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y"> <mi>y</mi> </math></span>between <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = \theta "> <mi>x</mi> <mo>=</mo> <mi>θ</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = \frac{\pi }{4}"> <mi>x</mi> <mo>=</mo> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </math></span> is rotated 360° about the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span>-axis. Find the volume of the solid formed.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>evidence of summing to 1     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sum {p = 1} "> <mo>∑</mo> <mrow> <mi>p</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></span></p>
<p>correct equation     <strong><em>A1</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  + 2\cos 2\theta  = 1"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>+</mo> <mn>2</mn> <mi>cos</mi> <mo>⁡</mo> <mn>2</mn> <mi>θ</mi> <mo>=</mo> <mn>1</mn> </math></span></p>
<p>correct equation in <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta "> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> </math></span>     <strong><em>A1</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  + 2(2{\cos ^2}\theta  - 1) = 1,{\text{ }}4{\cos ^2}\theta  + \cos \theta  - 3 = 0"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>+</mo> <mn>2</mn> <mo stretchy="false">(</mo> <mn>2</mn> <mrow> <msup> <mi>cos</mi> <mn>2</mn> </msup> </mrow> <mi>θ</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mn>4</mn> <mrow> <msup> <mi>cos</mi> <mn>2</mn> </msup> </mrow> <mi>θ</mi> <mo>+</mo> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mn>3</mn> <mo>=</mo> <mn>0</mn> </math></span></p>
<p>evidence of valid approach to solve quadratic     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math>factorizing equation set equal to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0,{\text{ }}\frac{{ - 1 \pm \sqrt {1 - 4 \times 4 \times ( - 3)} }}{8}"> <mn>0</mn> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mo>−</mo> <mn>1</mn> <mo>±</mo> <msqrt> <mn>1</mn> <mo>−</mo> <mn>4</mn> <mo>×</mo> <mn>4</mn> <mo>×</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mn>3</mn> <mo stretchy="false">)</mo> </msqrt> </mrow> <mn>8</mn> </mfrac> </math></span></p>
<p>correct working, clearly leading to required answer     <strong><em>A1</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(4\cos \theta  - 3)(\cos \theta  + 1),{\text{ }}\frac{{ - 1 \pm 7}}{8}"> <mo stretchy="false">(</mo> <mn>4</mn> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mo>−</mo> <mn>1</mn> <mo>±</mo> <mn>7</mn> </mrow> <mn>8</mn> </mfrac> </math></span></p>
<p>correct reason for rejecting <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  \ne  - 1"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>≠</mo> <mo>−</mo> <mn>1</mn> </math></span>     <strong><em>R1</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta "> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> </math></span> is a probability (value must lie between 0 and 1), <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  &gt; 0"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>&gt;</mo> <mn>0</mn> </math></span></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>R0 </em></strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  \ne  - 1"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>≠</mo> <mo>−</mo> <mn>1</mn> </math></span> without a reason.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta  = \frac{3}{4}"> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>=</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </math></span>    <em><strong>AG  N0</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math>sketch of right triangle with sides 3 and 4, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\sin ^2}x + {\cos ^2}x = 1"> <mrow> <msup> <mi>sin</mi> <mn>2</mn> </msup> </mrow> <mi>x</mi> <mo>+</mo> <mrow> <msup> <mi>cos</mi> <mn>2</mn> </msup> </mrow> <mi>x</mi> <mo>=</mo> <mn>1</mn> </math></span></p>
<p>correct working     </p>
<p><strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math>missing side <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = \sqrt 7 ,{\text{ }}\frac{{\frac{{\sqrt 7 }}{4}}}{{\frac{3}{4}}}"> <mo>=</mo> <msqrt> <mn>7</mn> </msqrt> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mfrac> <mrow> <msqrt> <mn>7</mn> </msqrt> </mrow> <mn>4</mn> </mfrac> </mrow> <mrow> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \theta  = \frac{{\sqrt 7 }}{3}"> <mi>tan</mi> <mo>⁡</mo> <mi>θ</mi> <mo>=</mo> <mfrac> <mrow> <msqrt> <mn>7</mn> </msqrt> </mrow> <mn>3</mn> </mfrac> </math></span>     <strong><em>A1</em></strong>     <strong><em>N2</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to substitute either limits or the function into formula involving <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{f^2}"> <mrow> <msup> <mi>f</mi> <mn>2</mn> </msup> </mrow> </math></span>     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi \int_\theta ^{\frac{\pi }{4}} {{f^2},{\text{ }}\int {{{\left( {\frac{1}{{\cos x}}} \right)}^2}} } "> <mi>π</mi> <msubsup> <mo>∫</mo> <mi>θ</mi> <mrow> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </mrow> </msubsup> <mrow> <mrow> <msup> <mi>f</mi> <mn>2</mn> </msup> </mrow> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mo>∫</mo> <mrow> <mrow> <msup> <mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mrow> <mi>cos</mi> <mo>⁡</mo> <mi>x</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </msup> </mrow> </mrow> </mrow> </math></span></p>
<p>correct substitution of both limits and function     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi \int_\theta ^{\frac{\pi }{4}} {{{\left( {\frac{1}{{\cos x}}} \right)}^2}{\text{d}}x} "> <mi>π</mi> <msubsup> <mo>∫</mo> <mi>θ</mi> <mrow> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </mrow> </msubsup> <mrow> <mrow> <msup> <mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mrow> <mi>cos</mi> <mo>⁡</mo> <mi>x</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </msup> </mrow> <mrow> <mtext>d</mtext> </mrow> <mi>x</mi> </mrow> </math></span></p>
<p>correct integration     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan x"> <mi>tan</mi> <mo>⁡</mo> <mi>x</mi> </math></span></p>
<p>substituting <strong>their </strong>limits into <strong>their </strong>integrated function and subtracting     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \frac{\pi }{4} - \tan \theta "> <mi>tan</mi> <mo>⁡</mo> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> <mo>−</mo> <mi>tan</mi> <mo>⁡</mo> <mi>θ</mi> </math></span></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>M0 </em></strong>if they substitute into original or differentiated function.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \frac{\pi }{4} = 1"> <mi>tan</mi> <mo>⁡</mo> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> <mo>=</mo> <mn>1</mn> </math></span>    <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - \tan \theta "> <mn>1</mn> <mo>−</mo> <mi>tan</mi> <mo>⁡</mo> <mi>θ</mi> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="V = \pi  - \frac{{\pi \sqrt 7 }}{3}"> <mi>V</mi> <mo>=</mo> <mi>π</mi> <mo>−</mo> <mfrac> <mrow> <mi>π</mi> <msqrt> <mn>7</mn> </msqrt> </mrow> <mn>3</mn> </mfrac> </math></span>     <strong><em>A1</em></strong>     <strong><em>N3</em></strong></p>
<p> </p>
<p><strong><em>[6 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Anne-Marie planted four sunflowers in order of height, from shortest to tallest.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>C</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn><mo> </mo><mtext>cm</mtext></math> tall.</p>
<p>The median height of the flowers is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn><mo> </mo><mtext>cm</mtext></math>.</p>
</div>

<div class="specification">
<p>The range of the heights is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>50</mn><mo> </mo><mtext>cm</mtext></math>. The height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo> </mo><mtext>cm</mtext></math> and the height of&nbsp;Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>D</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo> </mo><mtext>cm</mtext></math>.</p>
</div>

<div class="specification">
<p>The mean height of the flowers is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>27</mn><mo> </mo><mtext>cm</mtext></math>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the height of Flower null.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using this information, write down an equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down a second equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your answers to <strong>parts (b)</strong> and <strong>(c)</strong>, find the height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your answers to <strong>parts (b)</strong> and <strong>(c)</strong>, find the height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>D</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn><mo>-</mo><mn>8</mn></math>  <strong>OR</strong>  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn><mo>-</mo><mfenced><mrow><mn>32</mn><mo>-</mo><mn>24</mn></mrow></mfenced></math> <strong> OR</strong>  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn><mo>=</mo><mfrac><mrow><mn>32</mn><mo>+</mo><mi>h</mi></mrow><mn>2</mn></mfrac></math>        <strong><em>(M1)</em></strong></p>
<p><strong><br>Note: </strong>Award <em><strong>(M1)</strong></em> for subtracting <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math> from the median, or equivalent.</p>
<p><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn><mo> </mo><mfenced><mtext>cm</mtext></mfenced></math>       <em><strong>(A1)  (C2)</strong></em></p>
<p><em><strong><br>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>-</mo><mi>p</mi><mo>=</mo><mn>50</mn></math>  (or equivalent)      <em><strong>(A1)  (C1)</strong></em></p>
<p><em><strong><br>[1 mark]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>p</mi><mo>+</mo><mn>16</mn><mo>+</mo><mn>32</mn><mo>+</mo><mi>q</mi></mrow><mn>4</mn></mfrac><mo>=</mo><mn>27</mn></math>   <strong>OR   </strong><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mi>q</mi><mo>=</mo><mn>60</mn></math>  (or equvalent)      <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>  (C1)</strong></em></p>
<p><strong><br></strong><strong>Note: </strong>Follow through from part (a).</p>
<p><em><strong><br>[1 mark]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mfenced><mtext>cm</mtext></mfenced></math>       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>  (C1)</strong></em></p>
<p><strong><br></strong><strong>Note: </strong>Follow through from parts (b) and (c).</p>
<p><em><strong><br>[1 mark]</strong></em></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>55</mn><mo> </mo><mfenced><mtext>cm</mtext></mfenced></math>       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>  (C1)</strong></em></p>
<p><strong><br></strong><strong>Note: </strong>Follow through from parts (b) and (c).</p>
<p><em><strong><br>[1 mark]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>In a class of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math> students, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>19</mn></math> play tennis, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math> play both tennis and volleyball, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math> do not play&nbsp;either sport.</p>
<p>The following Venn diagram shows the events “plays tennis” and “plays volleyball”.&nbsp;The values <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math> represent numbers of students.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a randomly selected student from the class plays tennis or volleyball, but not both.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>valid approach to find <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>       <em><strong>(M1)</strong></em></p>
<p><em>eg </em> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>+</mo><mn>3</mn><mo>=</mo><mn>19</mn><mo>,</mo><mo> </mo><mn>19</mn><mo>-</mo><mn>3</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>16</mn></math> (may be seen on Venn diagram)        <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach to find <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math>       <em><strong>(M1)</strong></em></p>
<p><em>eg </em> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>+</mo><mn>3</mn><mo>+</mo><mi>v</mi><mo>+</mo><mn>6</mn><mo>=</mo><mn>30</mn><mo>,</mo><mo> </mo><mn>30</mn><mo>-</mo><mn>19</mn><mo>-</mo><mn>6</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>5</mn></math> (may be seen on Venn diagram)        <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach       <em><strong>(M1)</strong></em></p>
<p><em>eg </em> <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn><mo>+</mo><mn>5</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn></math> students, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>-</mo><mfrac><mrow><mn>3</mn><mo>+</mo><mn>6</mn></mrow><mn>30</mn></mfrac></math>, <img src="data:image/png;base64,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"></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>21</mn><mn>30</mn></mfrac><mo> </mo><mfenced><mrow><mo>=</mo><mfrac><mn>7</mn><mn>10</mn></mfrac></mrow></mfenced></math>        <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Each athlete on a running team recorded the distance (<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math> miles) they ran in <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math> minutes.</p>
<p>The median distance is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> miles and the interquartile range is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mn>1</mn></math> miles.</p>
<p>This information is shown in the following box-and-whisker plot.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The distance in miles, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math>, can be converted to the distance in kilometres, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math>,&nbsp;using the formula <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi><mo>=</mo><mfrac><mn>8</mn><mn>5</mn></mfrac><mi>M</mi></math>.</p>
</div>

<div class="specification">
<p>The variance of the distances run by the athletes is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>16</mn><mn>9</mn></mfrac><mo> </mo><msup><mtext>km</mtext><mn>2</mn></msup></math>.</p>
<p>The standard deviation of the distances is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math> miles.</p>
</div>

<div class="specification">
<p>A total of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math> athletes from different teams compete in a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math>&nbsp;race. The times the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math> athletes&nbsp;took to run the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race are shown in the following cumulative frequency graph.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>There were <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400</mn></math> athletes who took between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> minutes to complete the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of the median distance in kilometres (km).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The first <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>150</mn></math> athletes that completed the race won a prize.</p>
<p>Given that an athlete took between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> minutes to complete the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race, calculate the probability that they won a prize.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>valid approach     <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>Q</mi><mn>3</mn></msub><mo>-</mo><msub><mi>Q</mi><mn>1</mn></msub><mo> </mo><mo>,</mo><mo> </mo><msub><mi>Q</mi><mn>3</mn></msub><mo>-</mo><mn>1</mn><mo>.</mo><mn>1</mn><mo> </mo><mo>,</mo><mo> </mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>-</mo><mi>a</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>1</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>4</mn></math>      <em><strong>A1   N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>32</mn><mn>5</mn></mfrac><mo> </mo><mfenced><mrow><mo>=</mo><mn>6</mn><mo>.</mo><mn>4</mn></mrow></mfenced></math> (km)       <em><strong>A1   N1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>METHOD 1 (standard deviation first)</strong></p>
<p>valid approach        <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>standard deviation</mtext><mo>=</mo><msqrt><mtext>variance</mtext></msqrt><mo> </mo><mo>,</mo><mo> </mo><msqrt><mfrac><mn>16</mn><mn>9</mn></mfrac></msqrt></math></p>
<p>standard deviation<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></math> (km)       <em><strong>(A1)</strong></em></p>
<p>valid approach to convert <strong>their</strong> standard deviation        <em><strong>(M1)</strong></em></p>
<p><em>eg     </em><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>×</mo><mfrac><mn>5</mn><mn>8</mn></mfrac><mo> </mo><mo>,</mo><mo> </mo><msqrt><mfrac><mn>16</mn><mn>9</mn></mfrac></msqrt><mo>=</mo><mfrac><mn>8</mn><mn>5</mn></mfrac><mi>M</mi></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>24</mn></mfrac></math> (miles)  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>=</mo><mfrac><mn>5</mn><mn>6</mn></mfrac></mrow></mfenced></math>      <em><strong>A1   N3</strong></em></p>
<p> </p>
<p><strong>Note:</strong> If no working shown, award <em><strong>M1A1M0A0</strong></em> for the value <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math>.<br>If working shown, and candidate’s final answer is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math>, award <em><strong>M1A1M0A0</strong></em>.</p>
<p> </p>
<p><strong>METHOD 2 (variance first)</strong></p>
<p>valid approach to convert variance        <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mfrac><mn>5</mn><mn>8</mn></mfrac></mfenced><mn>2</mn></msup><mo> </mo><mo>,</mo><mo> </mo><mfrac><mn>64</mn><mn>25</mn></mfrac><mo> </mo><mo>,</mo><mo> </mo><mfrac><mn>16</mn><mn>9</mn></mfrac><mo>×</mo><msup><mfenced><mfrac><mn>5</mn><mn>8</mn></mfrac></mfenced><mn>2</mn></msup></math></p>
<p>variance <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mfrac><mn>25</mn><mn>36</mn></mfrac></math>       <em><strong>(A1)</strong></em></p>
<p>valid approach        <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>standard deviation</mtext><mo>=</mo><msqrt><mtext>variance</mtext></msqrt><mo> </mo><mo>,</mo><mo> </mo><msqrt><mfrac><mn>25</mn><mn>36</mn></mfrac></msqrt><mo> </mo><mo>,</mo><mo> </mo><msqrt><mfrac><mn>16</mn><mn>9</mn></mfrac><mo>×</mo><msup><mfenced><mfrac><mn>5</mn><mn>8</mn></mfrac></mfenced><mn>2</mn></msup></msqrt></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>24</mn></mfrac></math> (miles)  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>=</mo><mfrac><mn>5</mn><mn>6</mn></mfrac></mrow></mfenced></math>      <em><strong>A1   N3</strong></em></p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct frequency for <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> minutes       <em><strong>(A1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></p>
<p>adding <strong>their</strong> frequency (do not accept <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn><mo>+</mo><mn>400</mn></math>)       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo>+</mo><mn>400</mn><mo> </mo><mo>,</mo><mo> </mo><mn>420</mn></math> athletes</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mn>30</mn></math> (minutes)         <em><strong>A1   N3</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>27</mn></math> (minutes)       <em><strong>(A1)</strong></em></p>
<p>correct working<em><strong>      (A1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>130</mn></math> athletes between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>27</mn></math> minutes, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mn>22</mn><mo>&lt;</mo><mi>t</mi><mo>&lt;</mo><mn>27</mn></mrow></mfenced><mo>=</mo><mfrac><mrow><mn>150</mn><mo>-</mo><mn>20</mn></mrow><mn>600</mn></mfrac><mo> </mo><mo>,</mo><mo> </mo><mfrac><mn>13</mn><mn>60</mn></mfrac></math></p>
<p>evidence of conditional probability or reduced sample space      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>A</mi><mo> </mo><menclose notation="left"><mo> </mo><mi>B</mi></menclose></mrow></mfenced><mo> </mo><mo>,</mo><mo> </mo><mtext>P</mtext><mfenced><mrow><mi>t</mi><mo>&lt;</mo><mn>27</mn><mo> </mo><menclose notation="left"><mo> </mo><mn>22</mn><mo>&lt;</mo><mi>t</mi><mo>&lt;</mo><mn>30</mn></menclose></mrow></mfenced><mo> </mo><mo>,</mo><mo> </mo><mfrac><mrow><mtext>P</mtext><mfenced><mrow><mn>22</mn><mo>&lt;</mo><mi>t</mi><mo>&lt;</mo><mn>27</mn></mrow></mfenced></mrow><mrow><mtext>P</mtext><mfenced><mrow><mn>22</mn><mo>&lt;</mo><mi>t</mi><mo>&lt;</mo><mi>m</mi></mrow></mfenced></mrow></mfrac><mo> </mo><mo>,</mo><mo> </mo><mfrac><mn>150</mn><mn>400</mn></mfrac></math></p>
<p>correct working<em><strong>      (A1)</strong></em></p>
<p><em>eg</em>    <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mstyle displaystyle="true"><mfrac><mn>130</mn><mn>600</mn></mfrac></mstyle><mstyle displaystyle="true"><mfrac><mn>400</mn><mn>600</mn></mfrac></mstyle></mfrac><mo> </mo><mo>,</mo><mo> </mo><mfrac><mrow><mn>150</mn><mo>-</mo><mn>20</mn></mrow><mn>400</mn></mfrac></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>130</mn><mn>400</mn></mfrac><mo> </mo><mo> </mo><mfenced><mrow><mfrac><mn>13</mn><mn>40</mn></mfrac><mo>=</mo><mfrac><mn>78000</mn><mn>240000</mn></mfrac><mo>=</mo><mfrac><mn>390</mn><mn>1200</mn></mfrac><mo>=</mo><mn>0</mn><mo>.</mo><mn>325</mn></mrow></mfenced></math><em><strong>      A1     N5</strong></em></p>
<p> </p>
<p><strong>Note:</strong> If no other working is shown, award <em><strong>A0A0M1A0A0</strong></em> for answer of <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>150</mn><mn>400</mn></mfrac></math>.<br>Award <em><strong>N0</strong></em> for answer of <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>8</mn></mfrac></math> with no other working shown.</p>
<p> </p>
<p><em><strong>[5 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A biased four-sided die, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>, is rolled. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> be the score obtained when die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> is rolled. The&nbsp;probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> is given in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>A second biased four-sided die, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math>, is rolled. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi></math> be the score obtained when die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math> is rolled.<br>The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi></math> is given in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo>&nbsp;</mo></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the range of possible values of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the range of possible values of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the range of possible values for <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Agnes and Barbara play a game using these dice. Agnes rolls die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> once and Barbara rolls&nbsp;die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math> once. The probability that Agnes’ score is less than Barbara’s score is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math>.</p>
<p>Find the value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></math>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>recognising probabilities sum to&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mi>p</mi><mo>+</mo><mi>p</mi><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>p</mi><mo>=</mo><mn>1</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid attempt to find <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo>&nbsp;</mo></math>&nbsp;&nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>×</mo><mi>p</mi><mo>+</mo><mn>2</mn><mo>×</mo><mi>p</mi><mo>+</mo><mn>3</mn><mo>×</mo><mi>p</mi><mo>+</mo><mn>4</mn><mo>×</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>p</mi><mfenced><mrow><mo>=</mo><mn>8</mn><mi>p</mi></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo>=</mo><mfrac><mn>16</mn><mn>7</mn></mfrac></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><mi>r</mi><mo>≤</mo><mn>1</mn></math>&nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to find a value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi><mo>≤</mo><mn>1</mn></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mn>0</mn><mo>⇒</mo><mi>q</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mn>1</mn><mo>⇒</mo><mi>q</mi><mo>=</mo><mn>0</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math>&nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>×</mo><mi>q</mi><mo>+</mo><mn>2</mn><mo>×</mo><mi>q</mi><mo>+</mo><mn>3</mn><mo>×</mo><mi>q</mi><mo>+</mo><mn>4</mn><mo>×</mo><mi>r</mi></math>&nbsp;(<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mn>2</mn><mo>+</mo><mn>2</mn><mi>r</mi></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>-</mo><mn>6</mn><mi>q</mi></math>)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(A1)</strong></em></p>
<p>one correct boundary value&nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>×</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mn>2</mn><mo>×</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mn>3</mn><mo>×</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mn>4</mn><mo>×</mo><mn>0</mn><mo> </mo><mfenced><mrow><mo>=</mo><mn>2</mn></mrow></mfenced></math>&nbsp;OR</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>×</mo><mn>0</mn><mo>+</mo><mn>2</mn><mo>×</mo><mn>0</mn><mo>+</mo><mn>3</mn><mo>×</mo><mn>0</mn><mo>+</mo><mn>4</mn><mo>×</mo><mn>1</mn><mo> </mo><mfenced><mrow><mo>=</mo><mn>4</mn></mrow></mfenced></math>&nbsp;OR</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>+</mo><mn>2</mn><mfenced><mn>0</mn></mfenced><mo> </mo><mfenced><mrow><mo>=</mo><mn>2</mn></mrow></mfenced></math>&nbsp;OR</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>+</mo><mn>2</mn><mfenced><mn>1</mn></mfenced><mo> </mo><mfenced><mrow><mo>=</mo><mn>4</mn></mrow></mfenced></math>&nbsp;OR</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>-</mo><mn>6</mn><mfenced><mn>0</mn></mfenced><mo> </mo><mfenced><mrow><mo>=</mo><mn>4</mn></mrow></mfenced></math>&nbsp;OR&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>-</mo><mn>6</mn><mfenced><mfrac><mn>1</mn><mn>3</mn></mfrac></mfenced><mo> </mo><mfenced><mrow><mo>=</mo><mn>2</mn></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>≤</mo><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo><mo>≤</mo><mn>4</mn></math>&nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>METHOD 1</strong></p>
<p>evidence of choosing at least four correct outcomes from</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>&amp;</mo><mn>2</mn><mo>,</mo><mo>&nbsp;</mo><mn>1</mn><mo>&amp;</mo><mn>3</mn><mo>,</mo><mo>&nbsp;</mo><mn>1</mn><mo>&amp;</mo><mn>4</mn><mo>,</mo><mo>&nbsp;</mo><mn>2</mn><mo>&amp;</mo><mn>3</mn><mo>,</mo><mo>&nbsp;</mo><mn>2</mn><mo>&amp;</mo><mn>4</mn><mo>,</mo><mo>&nbsp;</mo><mn>3</mn><mo>&amp;</mo><mn>4</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac><mi>q</mi><mo>+</mo><mfrac><mn>6</mn><mn>7</mn></mfrac><mi>r</mi></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>3</mn><mi>p</mi><mi>r</mi></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>+</mo><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(A1)</strong></em></p>
<p>solving for either <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> or&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>M1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac><mfenced><mrow><mi>q</mi><mo>+</mo><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac><mfenced><mrow><mfrac><mrow><mn>1</mn><mo>-</mo><mi>r</mi></mrow><mn>3</mn></mfrac><mo>+</mo><mi>r</mi></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>3</mn><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></p>
<p>&nbsp; &nbsp; &nbsp; &nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>p</mi><mfenced><mfrac><mrow><mn>1</mn><mo>-</mo><mi>r</mi></mrow><mn>3</mn></mfrac></mfenced><mo>+</mo><mn>3</mn><mo> </mo><mi>p</mi><mi>r</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></p>
<p>&nbsp;</p>
<p><em><strong>EITHER</strong></em> two correct values</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mfrac><mn>5</mn><mn>24</mn></mfrac></math>&nbsp; and&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></math>&nbsp;&nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em><em><strong>A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>OR</strong></em> one correct value</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mfrac><mn>5</mn><mn>24</mn></mfrac></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></math>&nbsp;&nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>substituting their value for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>&nbsp;or&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math>&nbsp;&nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>-</mo><mn>6</mn><mfenced><mfrac><mn>5</mn><mn>24</mn></mfrac></mfenced></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>+</mo><mn>2</mn><mfenced><mfrac><mn>3</mn><mn>8</mn></mfrac></mfenced></math></p>
<p>&nbsp;</p>
<p><em><strong>THEN</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo><mo>=</mo><mfrac><mn>11</mn><mn>4</mn></mfrac></math>&nbsp;&nbsp; &nbsp;&nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><strong>METHOD 2</strong> (solving for <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></math>)</p>
<p>evidence of choosing at least four correct outcomes from</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>&amp;</mo><mn>2</mn><mo>,</mo><mo>&nbsp;</mo><mn>1</mn><mo>&amp;</mo><mn>3</mn><mo>,</mo><mo>&nbsp;</mo><mn>1</mn><mo>&amp;</mo><mn>4</mn><mo>,</mo><mo>&nbsp;</mo><mn>2</mn><mo>&amp;</mo><mn>3</mn><mo>,</mo><mo>&nbsp;</mo><mn>2</mn><mo>&amp;</mo><mn>4</mn><mo>,</mo><mo>&nbsp;</mo><mn>3</mn><mo>&amp;</mo><mn>4</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac><mi>q</mi><mo>+</mo><mfrac><mn>6</mn><mn>7</mn></mfrac><mi>r</mi></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>3</mn><mi>p</mi><mi>r</mi></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>+</mo><mi>p</mi><mi>q</mi><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>+</mo><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>(A1)</strong></em></p>
<p>rearranging to make <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> the subject &nbsp; &nbsp; &nbsp;<em><strong>M1</strong></em></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mfrac><mrow><mn>4</mn><mo>-</mo><mtext>E</mtext><mfenced><mi>Y</mi></mfenced></mrow><mn>6</mn></mfrac></math></em></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>3</mn><mi>p</mi><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mi>q</mi></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp;&nbsp; &nbsp; &nbsp;<strong>M1</strong></em></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac><mo>×</mo><mfenced><mfrac><mrow><mn>4</mn><mo>-</mo><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></mrow><mn>6</mn></mfrac></mfenced><mo>+</mo><mfrac><mn>6</mn><mn>7</mn></mfrac><mfenced><mrow><mn>1</mn><mo>-</mo><mn>3</mn><mfenced><mfrac><mrow><mn>4</mn><mo>-</mo><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></mrow><mn>6</mn></mfrac></mfenced></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp; &nbsp; &nbsp;&nbsp;<strong>&nbsp;A1</strong></em></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mfenced><mrow><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo><mo>-</mo><mn>1</mn></mrow></mfenced></mrow><mn>7</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></em></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo><mo>=</mo><mfrac><mn>11</mn><mn>4</mn></mfrac></math>&nbsp; &nbsp; &nbsp;&nbsp;<strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[6 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A school café sells three flavours of smoothies: mango (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
  <mi>M</mi>
</math></span>), kiwi fruit (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="K">
  <mi>K</mi>
</math></span>) and banana (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span>).<br>85 students were surveyed about which of these three flavours they like.</p>
<p style="padding-left: 210px;">35 students liked mango, 37 liked banana, and 26 liked kiwi fruit<br>2 liked all three flavours<br>20 liked both mango and banana<br>14 liked mango and kiwi fruit<br>3 liked banana and kiwi fruit</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the given information, complete the following Venn diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of surveyed students who did not like any of the three flavours.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student is chosen at random from the surveyed students.</p>
<p>Find the probability that this student likes kiwi fruit smoothies given that they like mango smoothies.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><em><strong><img 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">     (A1)(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for 18, 12 and 1 in correct place on Venn diagram, <em><strong>(A1)</strong></em> for 3, 16 and 11 in correct place on Venn diagram.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>85 − (3 + 16 + 11 + 18 + 12 + 1 + 2)<em><strong>      (M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for subtracting the sum of their values from 85.</p>
<p>22      <em><strong>(A1)</strong></em><strong>(ft) </strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their Venn diagram in part (a).<br>If any numbers that are being subtracted are negative award <em><strong>(M1)(A0)</strong></em>.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14}}{{35}}\,\,\,\left( {\frac{2}{5}{\text{,}}\,\,0.4{\text{,}}\,\,40{\text{% }}} \right)">
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mrow>
      <mn>35</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>2</mn>
        <mn>5</mn>
      </mfrac>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>0.4</mn>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>40</mn>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span><em><strong>     (A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><strong> </strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for correct numerator; <em><strong>(A1)</strong></em> for correct denominator. Follow through from their Venn diagram.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The fastest recorded speeds of eight animals are shown in the following table.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether <strong>speed</strong> is a continuous or discrete variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median speed for these animals.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the range of the animal speeds.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these eight animals find the mean speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these eight animals write down the standard deviation.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>continuous    <em><strong>(</strong><strong>A1) (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>75.5 (km h<sup>−1</sup>)   <em><strong>(</strong><strong>A1) (C1)</strong></em></p>
<p><strong>Note:</strong> Answer must be exact.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>294 (km h<sup>−1</sup>)   <em><strong>(</strong><strong>A1) (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{300 + 97 + 80 + 80 + 71 + 64 + 21 + 6}}{8}">
  <mfrac>
    <mrow>
      <mn>300</mn>
      <mo>+</mo>
      <mn>97</mn>
      <mo>+</mo>
      <mn>80</mn>
      <mo>+</mo>
      <mn>80</mn>
      <mo>+</mo>
      <mn>71</mn>
      <mo>+</mo>
      <mn>64</mn>
      <mo>+</mo>
      <mn>21</mn>
      <mo>+</mo>
      <mn>6</mn>
    </mrow>
    <mn>8</mn>
  </mfrac>
</math></span>  <strong>OR</strong>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{719}}{8}">
  <mfrac>
    <mrow>
      <mn>719</mn>
    </mrow>
    <mn>8</mn>
  </mfrac>
</math></span>       <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct sum divided by 8.</p>
<p>89.9  (89.875)(km h<sup>−1</sup>)   <em><strong>(</strong><strong>A1) (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>84.6  (84.5597…)(km h<sup>−1</sup>)   <em><strong>(</strong><strong>A1) (C1)</strong></em></p>
<p><strong>Note:</strong> If the response to part (d)(i) is awarded zero marks, a correct response to part (d)(ii) is awarded <em><strong>(C2)</strong></em>.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A health inspector analysed the amount of sugar in 500 different <strong>snacks</strong> prepared in various school cafeterias. The collected data are shown in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"><br>Amount of sugar per snack in grams</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what 13 represents in the given diagram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the interquartile range for this data.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the approximate number of snacks whose amount of sugar ranges from 18 to 20 grams.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The health inspector visits two school cafeterias. She inspects the same number of <strong>meals</strong> at each cafeteria. The data is shown in the following box-and-whisker diagrams.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Meals prepared in the school cafeterias are required to have less than 10 grams of sugar.</p>
<p>State, giving a reason, which school cafeteria has more meals that <strong>do not</strong> meet the requirement.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>median  <em><strong>    (A1) (C1)   </strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>18 − 12  <em><strong>    (A1) </strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct quartiles seen.</p>
<p>6 (g)  <em><strong>    (A1) (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>125  <em><strong>    (A1) (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Cafeteria 2       <em><strong>(A1) (C1)</strong></em></p>
<p>75 % &gt; 50 % (do not meet the requirement)        <em><strong>(R1) (C1)</strong></em></p>
<p><strong>OR</strong></p>
<p>25 % &lt; 50 % (meet the requirement)       <em><strong>(R1) (C1)</strong></em></p>
<p><strong>Note:</strong> Do not award <em><strong>(A1)(R0)</strong></em>. Award the <em><strong>(R1)</strong></em> for a correct comparison of percentages for both cafeterias, which may be in words. The percentage values or fractions must be seen. It is possible to award <em><strong>(A0)(R1)</strong></em>.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A biased four-sided die with faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo>&#160;</mo><mn>2</mn><mo>,</mo><mo>&#160;</mo><mn>3</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> is rolled and the result recorded.&nbsp;Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> be the result obtained when the die is rolled. The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> is given&nbsp;in the following table where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> are constants.</p>
<p><img src="data:image/png;base64,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"></p>
<p>For this probability distribution, it is known that <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo>=</mo><mn>2</mn></math>.</p>
</div>

<div class="specification">
<p>Nicky plays a game with this four-sided die. In this game she is allowed a maximum of five&nbsp;rolls. Her score is calculated by adding the results of each roll. Nicky wins the game if her&nbsp;score is at least ten.</p>
<p>After three rolls of the die, Nicky has a score of four.</p>
</div>

<div class="specification">
<p>David has two pairs of unbiased four-sided dice, a yellow pair and a red pair.</p>
<p>Both yellow dice have faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo>&#160;</mo><mn>2</mn><mo>,</mo><mo>&#160;</mo><mn>3</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math>. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math> represent the sum obtained by&nbsp;rolling the two yellow dice. The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math> is shown below.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The first red die has faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo>&#160;</mo><mn>2</mn><mo>,</mo><mo>&#160;</mo><mn>2</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math>. The second red die has faces&nbsp;labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo>&#160;</mo><mi>a</mi><mo>,</mo><mo>&#160;</mo><mi>a</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>, where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#60;</mo><mi>b</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mo>&#160;</mo><mi>b</mi><mo>&#8712;</mo><msup><mi mathvariant="normal">&#8484;</mi><mo>+</mo></msup></math>. The probability distribution for the sum&nbsp;obtained by rolling the red pair is the same as the distribution for the sum obtained by rolling the yellow pair.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></math>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>&gt;</mo><mn>2</mn><mo>)</mo></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Assuming that rolls of the die are independent, find the probability that Nicky wins the game.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>, providing evidence for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>uses <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∑</mo><mtext>P</mtext><mfenced><mrow><mi>X</mi><mo>=</mo><mi>x</mi></mrow></mfenced><mo>=</mo><mn>1</mn></math> to form a linear equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>           <strong><em>(M1)</em></strong></p>
<p>correct equation in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> from summing to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>          <em><strong>A1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>+</mo><mi>q</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>=</mo><mn>1</mn></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>6</mn></math>  (or equivalent)</p>
<p>uses <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mfenced><mi>X</mi></mfenced><mo>=</mo><mn>2</mn></math> to form a linear equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>           <strong><em>(M1)</em></strong></p>
<p>correct equation in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> from <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mfenced><mi>X</mi></mfenced><mo>=</mo><mn>2</mn></math>          <em><strong>A1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>6</mn><mo>+</mo><mn>3</mn><mi>q</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>=</mo><mn>2</mn></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mn>3</mn><mi>q</mi><mo>=</mo><mn>1</mn></math>  (or equivalent)</p>
<p> </p>
<p><strong>Note:</strong> The marks for using <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∑</mo><mtext>P</mtext><mfenced><mrow><mi>X</mi><mo>=</mo><mi>x</mi></mrow></mfenced><mo>=</mo><mn>1</mn></math> and the marks for using <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mfenced><mi>X</mi></mfenced><mo>=</mo><mn>2</mn></math> may be awarded independently of each other.</p>
<p> </p>
<p>evidence of correctly solving these equations simultaneously          <em><strong>A1</strong></em></p>
<p>for example, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>⇒</mo><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></math>  or  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>+</mo><mn>3</mn><mo>×</mo><mfenced><mrow><mn>0</mn><mo>.</mo><mn>6</mn><mo>-</mo><mi>p</mi></mrow></mfenced><mo>=</mo><mn>1</mn><mo>⇒</mo><mi>p</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math></p>
<p>so <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></math>          <em><strong>AG</strong></em></p>
<p> </p>
<p><em><strong>[5 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach        <strong><em>(M1)</em></strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>&gt;</mo><mn>2</mn><mo>)</mo><mo>=</mo><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>=</mo><mn>3</mn><mo>)</mo><mo>+</mo><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>=</mo><mn>4</mn><mo>)</mo></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>&gt;</mo><mn>2</mn><mo>)</mo><mo>=</mo><mn>1</mn><mo>-</mo><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>=</mo><mn>1</mn><mo>)</mo><mo>-</mo><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>=</mo><mn>2</mn><mo>)</mo></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn></math>          <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognises at least one of the valid scores (<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mo> </mo><mn>7</mn></math>, or <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math>) required to win the game           <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <em><strong>M0</strong> </em>if candidate also considers scores other than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mo> </mo><mn>7</mn></math>, or <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math> (such as <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>).</p>
<p> </p>
<p>let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math> represent the score on the last two rolls</p>
<p>a score of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math> is obtained by rolling <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>2</mn><mo>,</mo><mn>4</mn></mrow></mfenced><mo>,</mo><mo> </mo><mfenced><mrow><mn>4</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>T</mi><mo>=</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>2</mn><mfenced><mrow><mn>0</mn><mo>.</mo><mn>3</mn></mrow></mfenced><mfenced><mrow><mn>0</mn><mo>.</mo><mn>1</mn></mrow></mfenced><mo>+</mo><msup><mfenced><mrow><mn>0</mn><mo>.</mo><mn>2</mn></mrow></mfenced><mn>2</mn></msup><mo> </mo><mo> </mo><mfenced><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn></mrow></mfenced></math>          <em><strong>A1</strong></em></p>
<p>a score of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math> is obtained by rolling <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>,</mo><mn>4</mn></mrow></mfenced></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>4</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>T</mi><mo>=</mo><mn>7</mn></mrow></mfenced><mo>=</mo><mn>2</mn><mfenced><mrow><mn>0</mn><mo>.</mo><mn>2</mn></mrow></mfenced><mfenced><mrow><mn>0</mn><mo>.</mo><mn>1</mn></mrow></mfenced><mo> </mo><mo> </mo><mfenced><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>04</mn></mrow></mfenced></math>          <em><strong>A1</strong></em></p>
<p>a score of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math> is obtained by rolling <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>4</mn><mo>,</mo><mn>4</mn></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>T</mi><mo>=</mo><mn>8</mn></mrow></mfenced><mo>=</mo><msup><mfenced><mrow><mn>0</mn><mo>.</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo> </mo><mo> </mo><mfenced><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn></mrow></mfenced></math>          <em><strong>A1</strong></em></p>
<p> </p>
<p><strong>Note:</strong> The above 3 <em><strong>A1</strong> </em>marks are independent of each other.</p>
<p> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mo>(</mo><mtext>Nicky wins</mtext><mo>)</mo><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>04</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>01</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mn>0</mn><mo>.</mo><mn>15</mn></math>          <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[5 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>+</mo><mi>b</mi><mo>=</mo><mn>8</mn></math>           <strong><em>(M1)</em></strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>5</mn></math>          <em><strong>A1</strong></em> </p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>METHOD 1</strong></p>
<p><strong>EITHER</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>5</mn></mrow></mfenced><mo>=</mo><mfrac><mn>4</mn><mn>16</mn></mfrac></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mi>a</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mfrac><mn>4</mn><mn>16</mn></mfrac></math>          <em><strong>A1</strong></em> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>a</mi><mo>+</mo><mn>2</mn><mo>=</mo><mn>5</mn></math></p>
<p><strong><br>OR</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mfrac><mn>3</mn><mn>16</mn></mfrac></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mi>a</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>=</mo><mfrac><mn>2</mn><mn>16</mn></mfrac></math>  and  <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>5</mn><mo>+</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>16</mn></mfrac></math>          <em><strong>A1</strong></em> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>a</mi><mo>+</mo><mn>3</mn><mo>=</mo><mn>6</mn></math></p>
<p><strong><br>OR</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mfrac><mn>3</mn><mn>16</mn></mfrac></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mi>a</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mfrac><mn>2</mn><mn>16</mn></mfrac></math>  and  <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>1</mn><mo>+</mo><mn>3</mn></mrow></mfenced><mo>=</mo><mfrac><mn>1</mn><mn>16</mn></mfrac></math>          <em><strong>A1</strong></em> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>a</mi><mo>+</mo><mn>1</mn><mo>=</mo><mn>4</mn></math></p>
<p><br><strong>THEN</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>a</mi><mo>=</mo><mn>3</mn></math>          <em><strong>A1</strong></em> </p>
<p> </p>
<p><strong>Note:</strong> Award <em><strong>A0A0</strong></em> for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>3</mn></math> obtained without working/reasoning/justification.</p>
<p> </p>
<p><strong>METHOD 2</strong></p>
<p><strong>EITHER</strong></p>
<p>correctly lists a relevant part of the sample space          <em><strong>A1</strong></em> </p>
<p>for example, <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="{" close="}"><mrow><mi>S</mi><mo>=</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mfenced open="{" close="}"><mrow><mfenced><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>1</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>1</mn><mo>,</mo><mi>a</mi></mrow></mfenced></mrow></mfenced></math>  or  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="{" close="}"><mrow><mi>S</mi><mo>=</mo><mn>5</mn></mrow></mfenced><mo>=</mo><mfenced open="{" close="}"><mrow><mfenced><mrow><mn>2</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mi>a</mi></mrow></mfenced></mrow></mfenced></math></p>
<p>or <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="{" close="}"><mrow><mi>S</mi><mo>=</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mfenced open="{" close="}"><mrow><mfenced><mrow><mn>3</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>3</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>+</mo><mn>3</mn><mo>=</mo><mn>6</mn></math></p>
<p><br><strong>OR</strong></p>
<p>eliminates possibilities (exhaustion) for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&lt;</mo><mn>5</mn></math></p>
<p>convincingly shows that <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≠</mo><mn>2</mn><mo>,</mo><mn>4</mn></math>          <em><strong>A1</strong></em> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≠</mo><mn>4</mn></math>, for example, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mfenced><mrow><mi>S</mi><mo>=</mo><mn>7</mn></mrow></mfenced><mo>=</mo><mfrac><mn>2</mn><mn>16</mn></mfrac></math> from <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math> and so</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><mn>3</mn><mo>,</mo><mi>a</mi></mrow></mfenced><mo>⇒</mo><mi>a</mi><mo>+</mo><mn>3</mn><mo>≠</mo><mn>7</mn></math></p>
<p> </p>
<p><strong>THEN</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>a</mi><mo>=</mo><mn>3</mn></math>          <em><strong>A1</strong></em> </p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>A majority of candidates knew to set up equations using the sum of the probabilities in the distribution equal to 1 and/or the expected value equal to 2, however some candidates simply substituted the given values of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> into their equations, which is considered working backwards and not doing what is required by the command term "show that". For the candidates who did set up both equations in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>, nearly all were successful in solving the resulting system of equations. Many candidates answered part (b) correctly using the given values from part (a). In part (c), most candidates recognized a sum of 6 (or more) was required in the final two rolls, but very few were able to find all the different outcomes to make this happen, especially for sums that can happen in more than one way, such as <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>+</mo><mn>4</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>+</mo><mn>3</mn></math>. While some candidates were able to correctly answer parts (d) and (e), some did not attempt<br>these questions parts, and many did not justify their final answer in part (e).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A data set has <em>n</em> items. The sum of the items is 800 and the mean is 20.</p>
</div>

<div class="specification">
<p>The standard deviation of this data set is 3. Each value in the set is multiplied by 10.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <em>n</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of the new mean.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the new variance.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>correct approach      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{800}}{n} = 20">
  <mfrac>
    <mrow>
      <mn>800</mn>
    </mrow>
    <mi>n</mi>
  </mfrac>
  <mo>=</mo>
  <mn>20</mn>
</math></span></p>
<p>40      <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>200   <em><strong>A1 N1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>METHOD 1</strong></p>
<p>recognizing variance = <em>σ </em><sup>2</sup>      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>  3<sup>2</sup> = 9</p>
<p>correct working to find new variance      <em><strong>(A1)</strong></em></p>
<p><em>eg  σ </em><sup>2 </sup>× 10<sup>2</sup>, 9 × 100</p>
<p>900     <em><strong> A1 N3</strong></em></p>
<p> </p>
<p><strong>METHOD 2</strong></p>
<p>new standard deviation is 30     <em><strong> (A1)</strong></em></p>
<p>recognizing variance = <em>σ </em><sup>2</sup>      <em><strong>(M1)</strong></em></p>
<p><em>e</em>g 3<sup>2</sup> = 9, 30<sup>2</sup></p>
<p>900     <em><strong> A1 N3</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The following scatter diagram shows the scores obtained by seven students in their mathematics test, <em>m</em>, and their physics test, <em>p</em>.</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">The mean point, M, for these data is (40, 16).</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Plot and label the point M<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\bar m,\,\,\bar p} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mover>
          <mi>m</mi>
          <mo stretchy="false">¯</mo>
        </mover>
      </mrow>
      <mo>,</mo>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mover>
          <mi>p</mi>
          <mo stretchy="false">¯</mo>
        </mover>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the line of best fit, by eye, on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your line of best fit, estimate the physics test score for a student with a score of 20 in their mathematics test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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"><em><strong>(A1)(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for mean point plotted and <em><strong>(A1)</strong></em> for labelled M.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>straight line through their mean point crossing the <em>p</em>-axis at 5±2     <em><strong>(A1)(ft)(A1)(ft) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for a straight line through their mean point. Award <strong><em>(A1)</em>(ft)</strong> for a correct p-intercept if line is extended.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>point on line where <em>m</em> = 20 identified and an attempt to identify <em>y</em>-coordinate     <em><strong>(M1)</strong></em></p>
<p>10.5     <em><strong>(A1)</strong></em><strong>(ft)    </strong><em><strong>(C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their line in part (b).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The lengths of trout in a fisherman’s catch were recorded over one month, and are represented in the following histogram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_10.45.21.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the following table.</p>
<p><img src="images/Schermafbeelding_2017-08-15_om_12.36.53.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether <strong>length of trout </strong>is a continuous or discrete variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal class.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Any trout with length 40 cm or less is returned to the lake.</p>
<p>Calculate the percentage of the fisherman’s catch that is returned to the lake.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img src="images/Schermafbeelding_2017-08-15_om_12.38.42.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01.a/M">     <strong><em>(A2)</em></strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A2) </em></strong>for all correct entries, <strong><em>(A1) </em></strong>for 3 correct entries.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>continuous     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{60 (cm)}} &lt; {\text{trout length}} \leqslant {\text{70 (cm)}}">
  <mrow>
    <mtext>60 (cm)</mtext>
  </mrow>
  <mo>&lt;</mo>
  <mrow>
    <mtext>trout length</mtext>
  </mrow>
  <mo>⩽</mo>
  <mrow>
    <mtext>70 (cm)</mtext>
  </mrow>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Accept equivalent notation such as <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(60,{\text{ }}70]">
  <mo stretchy="false">(</mo>
  <mn>60</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>70</mn>
  <mo stretchy="false">]</mo>
</math></span> or <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="]60,{\text{ }}70]">
  <mo stretchy="false">]</mo>
  <mn>60</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>70</mn>
  <mo stretchy="false">]</mo>
</math></span>.</p>
<p>Award <strong><em>(A0) </em></strong>for “60-70” (incorrect notation).</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{{22}} \times 100">
  <mfrac>
    <mn>4</mn>
    <mrow>
      <mn>22</mn>
    </mrow>
  </mfrac>
  <mo>×</mo>
  <mn>100</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for their 4 divided by their 22.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 18.2{\text{ }}(18.1818 \ldots )">
  <mo>=</mo>
  <mn>18.2</mn>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>18.1818</mn>
  <mo>…</mo>
  <mo stretchy="false">)</mo>
</math></span>     <strong><em>(A1)</em>(ft)     <em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Follow through from their part (a). Do not accept 0.181818….</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Rosewood College has 120 students. The students can join the sports club (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
  <mi>S</mi>
</math></span>) and the music club (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
  <mi>M</mi>
</math></span>).</p>
<p>For a student chosen at random from these 120, the probability that they joined both clubs is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{4}">
  <mfrac>
    <mn>1</mn>
    <mn>4</mn>
  </mfrac>
</math></span> and the probability that they joined the music club is<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>.</p>
<p>There are 20 students that did not join either club.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the Venn diagram for these students.</p>
<p><img src="images/Schermafbeelding_2018-02-13_om_08.15.35.png" alt="N17/5/MATSD/SP1/ENG/TZ0/07.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the students who joined the sports club is chosen at random. Find the probability that this student joined both clubs.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine whether the events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
  <mi>S</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
  <mi>M</mi>
</math></span> are independent.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img src="images/Schermafbeelding_2018-02-13_om_08.19.04.png" alt="N17/5/MATSD/SP1/ENG/TZ0/07.a/M">     <strong><em>(A1)(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A1) </em></strong>for 30 in correct area, <strong><em>(A1) </em></strong>for 60 and 10 in the correct areas.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{30}}{{90}}{\text{ }}\left( {\frac{1}{3},{\text{ }}0.333333 \ldots ,{\text{ }}33.3333 \ldots \% } \right)">
  <mfrac>
    <mrow>
      <mn>30</mn>
    </mrow>
    <mrow>
      <mn>90</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>3</mn>
      </mfrac>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mn>0.333333</mn>
      <mo>…</mo>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mn>33.3333</mn>
      <mo>…</mo>
      <mi mathvariant="normal">%</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)     <em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A1)</em>(ft) </strong>for correct numerator of 30, <strong><em>(A1)</em>(ft) </strong>for correct denominator of 90. Follow through from their Venn diagram.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(S) \times {\text{P}}(M) = \frac{3}{4} \times \frac{1}{3} = \frac{1}{4}">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>S</mi>
  <mo stretchy="false">)</mo>
  <mo>×</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>M</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mfrac>
    <mn>3</mn>
    <mn>4</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mn>4</mn>
  </mfrac>
</math></span>     <strong><em>(R1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(R1) </em></strong>for multiplying their by <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>.</p>
<p> </p>
<p>therefore the events are independent <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {{\text{as P}}(S \cap M) = \frac{1}{4}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mtext>as P</mtext>
      </mrow>
      <mo stretchy="false">(</mo>
      <mi>S</mi>
      <mo>∩</mo>
      <mi>M</mi>
      <mo stretchy="false">)</mo>
      <mo>=</mo>
      <mfrac>
        <mn>1</mn>
        <mn>4</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em>(ft)     <em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(R1)(A1)</em>(ft) </strong>for an answer which is consistent with their Venn diagram.</p>
<p>Do not award <strong><em>(R0)(A1)</em>(ft)</strong>.</p>
<p>Do not award final <strong><em>(A1) </em></strong>if <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(S) \times {\text{P}}(M)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>S</mi>
  <mo stretchy="false">)</mo>
  <mo>×</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>M</mi>
  <mo stretchy="false">)</mo>
</math></span> is not calculated. Follow through from part (a).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A random variable <em>Z</em> is normally distributed with mean 0 and standard deviation 1. It is known&nbsp;that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
  <mi>z</mi>
</math></span> &lt; −1.6) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> and P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
  <mi>z</mi>
</math></span> &gt; 2.4) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>. This is shown in the following diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>A second random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> is normally distributed with mean <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
  <mi>m</mi>
</math></span> and standard deviation <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="s">
  <mi>s</mi>
</math></span>.</p>
<p>It is known that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> &lt; 1) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find P(−1.6 &lt; <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
  <mi>z</mi>
</math></span> &lt; 2.4). Write your answer in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
  <mi>z</mi>
</math></span> &gt; −1.6, find the probability that z &lt; 2.4 . Write your answer in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the standardized value for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = 1">
  <mi>x</mi>
  <mo>=</mo>
  <mn>1</mn>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is also known that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> &gt; 2) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="s">
  <mi>s</mi>
</math></span>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>recognizing area under curve = 1        <em><strong>(M1)</strong></em></p>
<p><em>eg   </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a + x + b = 1">
  <mi>a</mi>
  <mo>+</mo>
  <mi>x</mi>
  <mo>+</mo>
  <mi>b</mi>
  <mo>=</mo>
  <mn>1</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="100 - a - b">
  <mn>100</mn>
  <mo>−</mo>
  <mi>a</mi>
  <mo>−</mo>
  <mi>b</mi>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - a + b">
  <mn>1</mn>
  <mo>−</mo>
  <mi>a</mi>
  <mo>+</mo>
  <mi>b</mi>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( { - 1.6 &lt; z &lt; 2.4} \right) = 1 - a - b\,\,\left( { = 1 - \left( {a + b} \right)} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mn>1.6</mn>
      <mo>&lt;</mo>
      <mi>z</mi>
      <mo>&lt;</mo>
      <mn>2.4</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>1</mn>
  <mo>−</mo>
  <mi>a</mi>
  <mo>−</mo>
  <mi>b</mi>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mn>1</mn>
      <mo>−</mo>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>a</mi>
          <mo>+</mo>
          <mi>b</mi>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>               <em><strong>A1  N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {z &gt;  - 1.6} \right) = 1 - a">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>z</mi>
      <mo>&gt;</mo>
      <mo>−</mo>
      <mn>1.6</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>1</mn>
  <mo>−</mo>
  <mi>a</mi>
</math></span> (seen anywhere)        <em><strong>(A1)</strong></em></p>
<p>recognizing conditional probability        <em><strong>(M1)</strong></em></p>
<p><em>eg   </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A\left| B \right.} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mrow>
        <mo>|</mo>
        <mi>B</mi>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {B\left| A \right.} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>B</mi>
      <mrow>
        <mo>|</mo>
        <mi>A</mi>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></p>
<p>correct working       <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{P}}\left( {z &lt; 2.4 \cap z &gt;  - 1.6} \right)}}{{{\text{P}}\left( {z &gt;  - 1.6} \right)}}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>z</mi>
          <mo>&lt;</mo>
          <mn>2.4</mn>
          <mo>∩</mo>
          <mi>z</mi>
          <mo>&gt;</mo>
          <mo>−</mo>
          <mn>1.6</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>z</mi>
          <mo>&gt;</mo>
          <mo>−</mo>
          <mn>1.6</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{P}}\left( { - 1.6 &lt; z &lt; 2.4} \right)}}{{{\text{P}}\left( {z &gt;  - 1.6} \right)}}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mo>−</mo>
          <mn>1.6</mn>
          <mo>&lt;</mo>
          <mi>z</mi>
          <mo>&lt;</mo>
          <mn>2.4</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>z</mi>
          <mo>&gt;</mo>
          <mo>−</mo>
          <mn>1.6</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
  </mfrac>
</math></span> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {z &lt; 2.4\left| z \right. &gt;  - 1.6} \right) = \frac{{1 - a - b}}{{1 - a}}">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>z</mi>
      <mo>&lt;</mo>
      <mn>2.4</mn>
      <mrow>
        <mo>|</mo>
        <mi>z</mi>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
      </mrow>
      <mo>&gt;</mo>
      <mo>−</mo>
      <mn>1.6</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>a</mi>
      <mo>−</mo>
      <mi>b</mi>
    </mrow>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>a</mi>
    </mrow>
  </mfrac>
</math></span>      <em><strong>A1  N4</strong></em></p>
<p><strong>Note:</strong> Do not award the final <em><strong>A1</strong></em> if correct answer is seen followed by incorrect simplification.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z = - 1.6">
  <mi>z</mi>
  <mo>=</mo>
  <mo>−</mo>
  <mn>1.6</mn>
</math></span> (may be seen in part (d))     <em><strong>A1  N1</strong></em></p>
<p><strong>Note:</strong> Depending on the candidate’s interpretation of the question, they may give <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1 - m}}{s}">
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span> as the answer to part (c). Such answers should be awarded the first <em><strong>(M1)</strong></em> in part (d), even when part (d) is left blank. If the candidate goes on to show <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z = - 1.6">
  <mi>z</mi>
  <mo>=</mo>
  <mo>−</mo>
  <mn>1.6</mn>
</math></span> as part of their working in part (d), the <em><strong>A1</strong> </em>in part (c) may be awarded.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to standardize <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> (do not accept <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{x - \mu }}{\sigma }">
  <mfrac>
    <mrow>
      <mi>x</mi>
      <mo>−</mo>
      <mi>μ</mi>
    </mrow>
    <mi>σ</mi>
  </mfrac>
</math></span>)       <em><strong>(M1)</strong></em></p>
<p><em>eg </em>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1 - m}}{s}">
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span> (may be seen in part (c)), <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{m - 2}}{s}">
  <mfrac>
    <mrow>
      <mi>m</mi>
      <mo>−</mo>
      <mn>2</mn>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{x - m}}{\sigma }">
  <mfrac>
    <mrow>
      <mi>x</mi>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mi>σ</mi>
  </mfrac>
</math></span></p>
<p>correct equation with each <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
  <mi>z</mi>
</math></span>-value      <em><strong>(A1)(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - 1.6 = \frac{{1 - m}}{s}">
  <mo>−</mo>
  <mn>1.6</mn>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2.4 = \frac{{2 - m}}{s}">
  <mn>2.4</mn>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m + 2.4s = 2">
  <mi>m</mi>
  <mo>+</mo>
  <mn>2.4</mn>
  <mi>s</mi>
  <mo>=</mo>
  <mn>2</mn>
</math></span></p>
<p>valid approach (to set up equation in one variable)       <em><strong>M1</strong></em></p>
<p><em>eg   </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2.4 = \frac{{2 - \left( {1.6s + 1} \right)}}{s}">
  <mn>2.4</mn>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mo>−</mo>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mn>1.6</mn>
          <mi>s</mi>
          <mo>+</mo>
          <mn>1</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mi>s</mi>
  </mfrac>
</math></span>,   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1 - m}}{{ - 1.6}} = \frac{{2 - m}}{{2.4}}">
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mrow>
      <mo>−</mo>
      <mn>1.6</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mo>−</mo>
      <mi>m</mi>
    </mrow>
    <mrow>
      <mn>2.4</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p>correct working        <em><strong>(A1)</strong></em></p>
<p>eg   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1.6s + 1 = 2 - 2.4s">
  <mn>1.6</mn>
  <mi>s</mi>
  <mo>+</mo>
  <mn>1</mn>
  <mo>=</mo>
  <mn>2</mn>
  <mo>−</mo>
  <mn>2.4</mn>
  <mi>s</mi>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="4s = 1">
  <mn>4</mn>
  <mi>s</mi>
  <mo>=</mo>
  <mn>1</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m = \frac{7}{5}">
  <mi>m</mi>
  <mo>=</mo>
  <mfrac>
    <mn>7</mn>
    <mn>5</mn>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="s = \frac{1}{4}">
  <mi>s</mi>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mn>4</mn>
  </mfrac>
</math></span>       <em><strong>A1 N2</strong></em></p>
<p><em><strong>[6 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Srinivasa places the nine labelled balls shown below into a box.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>Srinivasa then chooses two balls at random, one at a time, from the box. The first ball is <strong>not&nbsp;replaced</strong> before he chooses the second.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the first ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the first ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> or labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the second ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>, given that the first ball chosen was labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both balls chosen are labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>9</mn></mfrac><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>333</mn><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>333333</mn><mo>…</mo><mo>,</mo><mo> </mo><mn>33</mn><mo>.</mo><mn>3</mn><mo>%</mo></mrow></mfenced></math>        <strong><em>(A1)</em></strong><em><strong>   (C1)</strong></em></p>
<p><strong><br></strong><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>9</mn></mfrac><mo> </mo><mfenced><mrow><mn>0</mn><mo>.</mo><mn>556</mn><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>555555</mn><mo>…</mo><mo>,</mo><mo> </mo><mn>55</mn><mo>.</mo><mn>6</mn><mo>%</mo></mrow></mfenced></math>        <strong><em>(A1)</em></strong><em><strong>   (C1)</strong></em></p>
<p><strong><br></strong><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>8</mn></mfrac><mo> </mo><mfenced><mrow><mn>0</mn><mo>.</mo><mn>375</mn><mo>,</mo><mo> </mo><mn>37</mn><mo>.</mo><mn>5</mn><mo>%</mo></mrow></mfenced></math>        <strong><em>(A1)(A1)</em></strong><em><strong>   (C2)</strong></em></p>
<p><strong><br>Note: </strong>Award <em><strong>(A1)</strong></em> for correct numerator, <em><strong>(A1)</strong></em> for correct denominator.</p>
<p><strong><br></strong><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>9</mn></mfrac><mo>×</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math>        <strong><em>(M1)</em></strong></p>
<p><strong><br>Note: </strong>Award <em><strong>(M1)</strong></em> for a correct compound probability calculation seen.</p>
<p><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>72</mn></mfrac><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>36</mn></mfrac><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>0278</mn><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>0277777</mn><mo>…</mo><mo>,</mo><mo> </mo><mn>2</mn><mo>.</mo><mn>78</mn><mo>%</mo></mrow></mfenced></math>       <em><strong>(A1)  (C2)</strong></em></p>
<p><em><strong><br>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Jim heated a liquid until it boiled. He measured the temperature of the liquid as it cooled. The following table shows its temperature, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
  <mi>d</mi>
</math></span> degrees Celsius, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
  <mi>t</mi>
</math></span> minutes after it boiled.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_08.45.05.png" alt="M17/5/MATME/SP1/ENG/TZ1/04"></p>
</div>

<div class="specification">
<p>Jim believes that the relationship between <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
  <mi>d</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
  <mi>t</mi>
</math></span> can be modelled by a linear regression equation.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the independent variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the boiling temperature of the liquid.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Jim describes the correlation as <strong>very strong</strong>. Circle the value below which best represents the correlation coefficient.</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="0.992\quad \quad \quad 0.251\quad \quad \quad 0\quad \quad \quad  - 0.251\quad \quad \quad  - 0.992">
  <mn>0.992</mn>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mn>0.251</mn>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mn>0</mn>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mo>−</mo>
  <mn>0.251</mn>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mspace width="1em"></mspace>
  <mo>−</mo>
  <mn>0.992</mn>
</math></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Jim’s model is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d =  - 2.24t + 105">
  <mi>d</mi>
  <mo>=</mo>
  <mo>−</mo>
  <mn>2.24</mn>
  <mi>t</mi>
  <mo>+</mo>
  <mn>105</mn>
</math></span>, for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 \leqslant t \leqslant 20">
  <mn>0</mn>
  <mo>⩽</mo>
  <mi>t</mi>
  <mo>⩽</mo>
  <mn>20</mn>
</math></span>. Use his model to predict the decrease in temperature for any 2 minute interval.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
  <mi>t</mi>
</math></span>     <em><strong>A1</strong></em>     <em><strong>N1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>105     <em><strong>A1</strong></em>     <em><strong>N1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - 0.992">
  <mo>−</mo>
  <mn>0.992</mn>
</math></span>     <strong><em>A2</em></strong>     <strong><em>N2</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{d}}d}}{{{\text{d}}t}} =  - 2.24;{\text{ }}2 \times 2.24,{\text{ }}2 \times  - 2.24,{\text{ }}d(2) =  - 2 \times 2.24 \times 105,">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>d</mtext>
      </mrow>
      <mi>d</mi>
    </mrow>
    <mrow>
      <mrow>
        <mtext>d</mtext>
      </mrow>
      <mi>t</mi>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mo>−</mo>
  <mn>2.24</mn>
  <mo>;</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>2</mn>
  <mo>×</mo>
  <mn>2.24</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>2</mn>
  <mo>×</mo>
  <mo>−</mo>
  <mn>2.24</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mi>d</mi>
  <mo stretchy="false">(</mo>
  <mn>2</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mo>−</mo>
  <mn>2</mn>
  <mo>×</mo>
  <mn>2.24</mn>
  <mo>×</mo>
  <mn>105</mn>
  <mo>,</mo>
</math></span></p>
<p>finding <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d({t_2}) - d({t_1})">
  <mi>d</mi>
  <mo stretchy="false">(</mo>
  <mrow>
    <msub>
      <mi>t</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mo stretchy="false">)</mo>
  <mo>−</mo>
  <mi>d</mi>
  <mo stretchy="false">(</mo>
  <mrow>
    <msub>
      <mi>t</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo stretchy="false">)</mo>
</math></span> where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{t_2} = {t_1} + 2">
  <mrow>
    <msub>
      <mi>t</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mo>=</mo>
  <mrow>
    <msub>
      <mi>t</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>2</mn>
</math></span></p>
<p>4.48 (degrees)     <strong><em>A1</em></strong>     <strong><em>N2</em></strong></p>
<p> </p>
<p><strong>Notes:</strong>     Award no marks for answers that <strong>directly </strong>use the table to find the decrease in temperature for 2 minutes <em>eg</em> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{105 - 98.4}}{2} = 3.3">
  <mfrac>
    <mrow>
      <mn>105</mn>
      <mo>−</mo>
      <mn>98.4</mn>
    </mrow>
    <mn>2</mn>
  </mfrac>
  <mo>=</mo>
  <mn>3.3</mn>
</math></span>.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Pablo drives to work. The probability that he leaves home before 07:00 is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{4}">
  <mfrac>
    <mn>3</mn>
    <mn>4</mn>
  </mfrac>
</math></span>.</p>
<p>If he leaves home before 07:00 the probability he will be late for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{8}">
  <mfrac>
    <mn>1</mn>
    <mn>8</mn>
  </mfrac>
</math></span>.</p>
<p>If he leaves home at 07:00 or later the probability he will be late for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8}">
  <mfrac>
    <mn>5</mn>
    <mn>8</mn>
  </mfrac>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><strong>Copy</strong> and complete the following tree diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Pablo leaves home before 07:00 and is late for work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Pablo is late for work.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that Pablo is late for work, find the probability that he left home before 07:00.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two days next week Pablo will drive to work. Find the probability that he will be late at least once.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p><img 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"><em><strong>A1A1A1 N3</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>A1</strong></em> for each bold fraction.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>multiplying along correct branches      <em><strong>(A1)</strong></em><br><em>eg  </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{4} \times \frac{1}{8}"> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>1</mn> <mn>8</mn> </mfrac> </math></span></p>
<p>P(leaves before 07:00 ∩ late) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{32}"> <mfrac> <mn>3</mn> <mn>32</mn> </mfrac> </math></span>   <em><strong> A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p> </p>
<p>multiplying along other “late” branch      <em><strong>(M1)</strong></em><br>eg  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{4} \times \frac{5}{8}"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>5</mn> <mn>8</mn> </mfrac> </math></span></p>
<p>adding probabilities of two mutually exclusive late paths      <em><strong>(A1)</strong></em><br>eg  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{3}{4} \times \frac{1}{8}} \right) + \left( {\frac{1}{4} \times \frac{5}{8}} \right),\,\,\frac{3}{{32}} + \frac{5}{{32}}"> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>1</mn> <mn>8</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>5</mn> <mn>8</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>,</mo> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mfrac> <mn>3</mn> <mrow> <mn>32</mn> </mrow> </mfrac> <mo>+</mo> <mfrac> <mn>5</mn> <mrow> <mn>32</mn> </mrow> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( L \right) = \frac{8}{{32}}\,\,\left( { = \frac{1}{4}} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mi>L</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>8</mn> <mrow> <mn>32</mn> </mrow> </mfrac> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mrow> <mo>(</mo> <mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>)</mo> </mrow> </math></span>    <em><strong>A1 N2</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognizing conditional probability (seen anywhere)     <em><strong> (M1)</strong></em><br><em>eg</em>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A|B} \right),\,\,{\text{P}}\left( {{\text{before 7}}|{\text{late}}} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>A</mi> <mrow> <mo stretchy="false">|</mo> </mrow> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <mo>,</mo> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mrow> <mtext>before 7</mtext> </mrow> <mrow> <mo stretchy="false">|</mo> </mrow> <mrow> <mtext>late</mtext> </mrow> </mrow> <mo>)</mo> </mrow> </math></span></p>
<p>correct substitution of <strong>their</strong> values into formula      <em><strong>(A1)</strong></em><br><em>eg</em> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\frac{3}{{32}}}}{{\frac{1}{4}}}"> <mfrac> <mrow> <mfrac> <mn>3</mn> <mrow> <mn>32</mn> </mrow> </mfrac> </mrow> <mrow> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {{\text{left before 07:00}}|{\text{late}}} \right) = \frac{3}{8}"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mrow> <mtext>left before 07:00</mtext> </mrow> <mrow> <mo stretchy="false">|</mo> </mrow> <mrow> <mtext>late</mtext> </mrow> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </math></span>   <strong><em> A1 N2</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach      <em><strong>(M1)</strong></em><br><em>eg</em>  1 − P(not late twice), P(late once) + P(late twice)</p>
<p>correct working      <em><strong>(A1)</strong></em><br><em>eg</em>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - \left( {\frac{3}{4} \times \frac{3}{4}} \right),\,\,2 \times \frac{1}{4} \times \frac{3}{4} + \frac{1}{4} \times \frac{1}{4}"> <mn>1</mn> <mo>−</mo> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>,</mo> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mn>2</mn> <mo>×</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>×</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{7}{{16}}"> <mfrac> <mn>7</mn> <mrow> <mn>16</mn> </mrow> </mfrac> </math></span>   <strong><em> A1 N2</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The histogram shows the lengths of 25 metal rods, each measured correct to the nearest cm.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The upper quartile is 4 cm.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal length of the rods.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median length of the rods.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the lower quartile.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the interquartile range.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>3     <em><strong>(A1) (C1)</strong></em><br> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>median is 13th position      <em><strong>(M1)</strong></em></p>
<p>CF: 2, 6, 14, 20, 23, 25       <em><strong>(M1)</strong></em></p>
<p>median = 3      <strong>(A1) (C3)</strong></p>
<p> </p>
<p><strong>[3 marks]</strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2.5       <em><strong>(A1) (C1)</strong></em></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> if the sum of <strong>their</strong> parts (c)(i) and (c)(ii) is 4.</p>
<p> </p>
<p><strong>[1 mark]</strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>1.5       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>  (C1)</strong></em></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> if the sum of <strong>their</strong> parts (c)(i) and (c)(ii) is 4.</p>
<p> </p>
<p><strong>[1 mark]</strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>University students were surveyed and asked how many hours, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
  <mi>h</mi>
</math></span> , they worked each month. The results are shown in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>Use the table to find the following values.</p>
</div>

<div class="specification">
<p>The first five class intervals, indicated in the table, have been used to draw part of a cumulative frequency curve as shown.</p>
<p><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
  <mi>q</mi>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the same grid, complete the cumulative frequency curve for these data.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the cumulative frequency curve to find an estimate for the number of students who worked at most 35 hours per month.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p = 10">
  <mi>p</mi>
  <mo>=</mo>
  <mn>10</mn>
</math></span>     <em><strong>(A1)</strong></em><em><strong>   (C1)  </strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct value.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q = 56">
  <mi>q</mi>
  <mo>=</mo>
  <mn>56</mn>
</math></span>     <em><strong>(A1)</strong></em><em><strong>   (C1)  </strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct value.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">    <em><strong>(A1)(A1)</strong></em><em><strong>   (C2)  </strong></em></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for their 3 correctly plotted points; award <strong><em>(A1)</em>(ft)</strong> for completing diagram with a smooth curve through their points. The second <strong><em>(A1)</em>(ft)</strong> can follow through from incorrect points, provided the gradient of the curve is never negative. Award <em><strong>(C2)</strong></em> for a completely correct smooth curve that goes through the correct points.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>a straight vertical line drawn at 35 (accept 35 ± 1)    <em><strong>(M1)</strong></em></p>
<p>26 (students)<em><strong>      (A1)</strong></em><em><strong>   (C2)  </strong></em></p>
<p><strong>Note:</strong> Accept values between 25 and 27 inclusive.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In an international competition, participants can answer questions in <strong>only one</strong> of the three following languages: Portuguese, Mandarin or Hindi. 80 participants took part in the competition. The number of participants answering in Portuguese, Mandarin or Hindi is shown in the table.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="specification">
<p>A boy is chosen at random.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the number of boys who answered questions in Portuguese.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the boy answered questions in Hindi.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two girls are selected at random.</p>
<p>Calculate the probability that one girl answered questions in Mandarin and the other answered questions in Hindi.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>20     <em><strong>(A1) (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{{43}}\,\,\,\left( {0.11627 \ldots ,\,\,11.6279 \ldots {\text{% }}} \right)">
  <mfrac>
    <mn>5</mn>
    <mrow>
      <mn>43</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>0.11627</mn>
      <mo>…</mo>
      <mo>,</mo>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>11.6279</mn>
      <mo>…</mo>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>(A1)(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for correct numerator, <em><strong>(A1)</strong></em> for correct denominator.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{7}{{37}} \times \frac{{12}}{{36}} + \frac{{12}}{{37}} \times \frac{7}{{36}}">
  <mfrac>
    <mn>7</mn>
    <mrow>
      <mn>37</mn>
    </mrow>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mrow>
      <mn>12</mn>
    </mrow>
    <mrow>
      <mn>36</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mrow>
      <mn>12</mn>
    </mrow>
    <mrow>
      <mn>37</mn>
    </mrow>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>7</mn>
    <mrow>
      <mn>36</mn>
    </mrow>
  </mfrac>
</math></span>     <em><strong>(A1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for first or second correct product seen, <em><strong>(M1)</strong></em> for adding their two products or for multiplying their product by two.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = \frac{{14}}{{111}}\,\,\left( {\,0.12612 \ldots ,\,\,12.6126\,{\text{% }}} \right)">
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mrow>
      <mn>111</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mspace width="thinmathspace"></mspace>
      <mn>0.12612</mn>
      <mo>…</mo>
      <mo>,</mo>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>12.6126</mn>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>(A1) (C3)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Hafizah harvested&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>49</mn></math> mangoes from her farm. The weights of the mangoes, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi></math>, in grams,&nbsp;are shown in the following grouped frequency table.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal group for these data.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use your graphic display calculator to find an estimate of the standard deviation of the weights of mangoes from this harvest.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the grid below, draw a histogram for the data in the table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400</mn><mo>≤</mo><mi>w</mi><mo>&lt;</mo><mn>500</mn></math>        <em><strong>(A1)   (C1)</strong></em></p>
<p><em><strong><br></strong></em><strong>Note:</strong> Accept alternative notation <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>[</mo><mn>400</mn><mo>,</mo><mo> </mo><mn>500</mn><mo>)</mo></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>[</mo><mn>400</mn><mo>,</mo><mo> </mo><mn>500</mn><mo>[</mo><mo>.</mo></math><br>Do not accept "<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400</mn><mtext>-</mtext><mn>500</mn></math>".</p>
<p><em><strong><br>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>115</mn><mo> </mo><mo> </mo><mo> </mo><mfenced><mrow><mn>115</mn><mo>.</mo><mn>265</mn><mo>…</mo><mo> </mo><mo>(</mo><mi>g</mi><mo>)</mo></mrow></mfenced></math>        <em><strong>(A2)   (C2)</strong></em></p>
<p><em><strong><br></strong></em><strong>Note:</strong> Award <em><strong>(A1)(A0)</strong></em> for an answer of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>116</mn><mo> </mo><mfenced><mrow><mn>116</mn><mo>.</mo><mn>459</mn><mo>…</mo></mrow></mfenced></math>.</p>
<p><em><strong><br>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">        <em><strong>(A2)(A1)   (C3)</strong></em></p>
<p><em><strong><br></strong></em><strong>Note:</strong> Award <em><strong>(A2)</strong></em> for all correct heights of bars or <em><strong>(A1)</strong></em> for three or four correct heights of bars.<br>Award <em><strong>(A1)</strong></em> for rectangular bars all with correct left and right end points (<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>100</mn><mo>,</mo><mo> </mo><mn>200</mn><mo>,</mo><mo> </mo><mn>300</mn><mo>,</mo><mo> </mo><mn>400</mn><mo>,</mo><mo> </mo><mn>500</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math>) and for no gaps; the bars do <strong>not</strong> have to be shaded.<br>Award at most <em><strong>(A2)(A0)</strong></em> if a ruler is not used for all lines.</p>
<p><em><strong><br>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>On a work day, the probability that Mr Van Winkel wakes up early is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{5}">
  <mfrac>
    <mn>4</mn>
    <mn>5</mn>
  </mfrac>
</math></span>.</p>
<p>If he wakes up early, the probability that he is on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span>.</p>
<p>If he wakes up late, the probability that he is on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{4}">
  <mfrac>
    <mn>1</mn>
    <mn>4</mn>
  </mfrac>
</math></span>.</p>
</div>

<div class="specification">
<p>The probability that Mr Van Winkel arrives on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5}">
  <mfrac>
    <mn>3</mn>
    <mn>5</mn>
  </mfrac>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram below.</p>
<p><img src="images/Schermafbeelding_2017-03-07_om_06.20.32.png" alt="N16/5/MATSD/SP1/ENG/TZ0/12.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img src="images/Schermafbeelding_2017-03-07_om_06.24.40.png" alt="N16/5/MATSD/SP1/ENG/TZ0/12.a/M">     <strong><em>(A1)(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A1) </em></strong>for each correct pair of probabilities.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{5}p + \frac{1}{5} \times \frac{1}{4} = \frac{3}{5}">
  <mfrac>
    <mn>4</mn>
    <mn>5</mn>
  </mfrac>
  <mi>p</mi>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>5</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mn>4</mn>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>3</mn>
    <mn>5</mn>
  </mfrac>
</math></span>     <strong><em>(A1)</em>(ft)<em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A1)</em>(ft) </strong>for two correct products from part (a), <strong><em>(M1) </em></strong>for adding their products, <strong><em>(M1) </em></strong>for equating the sum of any two probabilities to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5}">
  <mfrac>
    <mn>3</mn>
    <mn>5</mn>
  </mfrac>
</math></span>.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(p = ){\text{ }}\frac{{11}}{{16}}{\text{ }}(0.688,{\text{ }}0.6875)">
  <mo stretchy="false">(</mo>
  <mi>p</mi>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mfrac>
    <mrow>
      <mn>11</mn>
    </mrow>
    <mrow>
      <mn>16</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>0.688</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>0.6875</mn>
  <mo stretchy="false">)</mo>
</math></span>    <strong><em>(A1)</em>(ft)     <em>(C4)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award the final <strong><em>(A1)</em>(ft) </strong>only if <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 \leqslant p \leqslant 1">
  <mn>0</mn>
  <mo>⩽</mo>
  <mi>p</mi>
  <mo>⩽</mo>
  <mn>1</mn>
</math></span>. Follow through from part (a).</p>
<p> </p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A survey at a swimming pool is given to one adult in each family. The age of the&nbsp;adult, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> years old, and of their eldest child, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> years old, are recorded.</p>
<p>The ages of the eldest child are summarized in the following box and whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mfrac><mn>7</mn><mn>4</mn></mfrac><mi>c</mi><mo>+</mo><mn>20</mn></math>.&nbsp;The regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>a</mi><mo>-</mo><mn>9</mn></math>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the largest value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> that would not be considered an outlier.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the adults surveyed is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>42</mn></math> years old. Estimate the age of their eldest child.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean age of all the adults surveyed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>IQR</mtext><mo>=</mo><mn>10</mn><mo>-</mo><mn>6</mn><mfenced><mrow><mo>=</mo><mn>4</mn></mrow></mfenced></math>             <em><strong>(A1)</strong></em></p>
<p>attempt to find <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>Q</mi><mn>3</mn></msub><mo>+</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>×</mo><mtext>IQR</mtext></math>             <em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>+</mo><mn>6</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn></math>             <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>choosing <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>a</mi><mo>-</mo><mn>9</mn></math>             <em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>×</mo><mn>42</mn><mo>-</mo><mn>9</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mn>12</mn></math> (years old)            <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to solve system by substitution or elimination            <em><strong>(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>34</mn></math> (years old)            <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Many candidates correctly found the value of 16. Some then incorrectly went on to state that 15 was therefore the minimum value that was not an outlier. For part (b) students needed to choose the appropriate rule to use to estimate the child's age. It was clear that many did not know there was a choice to be made and used both equations. As the mean point (𝑐̅,𝑎̅ ) lies on both regression lines, in part (c) candidates needed to solve the system of equations to find the mean adult age, 𝑎̅. Few candidates seemed to be aware of this.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The mass of a certain type of Chilean corncob follows a normal distribution with a mean of 400 grams and a standard deviation of 50 grams.</p>
</div>

<div class="specification">
<p>A farmer labels one of these corncobs as premium if its mass is greater than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> grams. 25% of these corncobs are labelled as premium.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the mass of one of these corncobs is greater than 400 grams.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the interquartile range of the distribution.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.5{\text{ }}\left( {50\% ,{\text{ }}\frac{1}{2}} \right)">
  <mn>0.5</mn>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>50</mn>
      <mi mathvariant="normal">%</mi>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mfrac>
        <mn>1</mn>
        <mn>2</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; a) = 0.25">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mi>a</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.25</mn>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><strong>OR</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &lt; a) = 0.75">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mi>a</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.75</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for a sketch of approximate normal curve with a vertical line drawn to the right of the mean with the area to the right of this line shaded.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a = 434{\text{ (g) }}\left( {433.724 \ldots {\text{ (g)}}} \right)">
  <mi>a</mi>
  <mo>=</mo>
  <mn>434</mn>
  <mrow>
    <mtext> (g) </mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>433.724</mn>
      <mo>…</mo>
      <mrow>
        <mtext> (g)</mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="33.7244 \ldots  \times 2">
  <mn>33.7244</mn>
  <mo>…</mo>
  <mo>×</mo>
  <mn>2</mn>
</math></span>     <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A1)</em>(ft) </strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="33.7244 \ldots {\text{ }}({\text{or }}433.7244 \ldots {\text{ }} - {\text{ }}400)">
  <mn>33.7244</mn>
  <mo>…</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mrow>
    <mtext>or </mtext>
  </mrow>
  <mn>433.7244</mn>
  <mo>…</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo>−</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>400</mn>
  <mo stretchy="false">)</mo>
</math></span> seen, award <strong><em>(M1) </em></strong>for multiplying their 33.7244… by 2. Follow through from their answer to part (b).</p>
<p> </p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="434 - 366.275 \ldots ">
  <mn>434</mn>
  <mo>−</mo>
  <mn>366.275</mn>
  <mo>…</mo>
</math></span>     <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A1)</em>(ft) </strong>for their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="366.275 \ldots {\text{ }}(366)">
  <mn>366.275</mn>
  <mo>…</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>366</mn>
  <mo stretchy="false">)</mo>
</math></span> seen, <strong><em>(M1) </em></strong>for difference between their answer to (b) and their 366.</p>
<p> </p>
<p><strong>OR</strong></p>
<p><img src="images/Schermafbeelding_2017-08-16_om_07.56.55.png" alt="M17/5/MATSD/SP1/ENG/TZ2/11.c/M">     <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A1)</em>(ft) </strong>for their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="366.275 \ldots {\text{ }}(366)">
  <mn>366.275</mn>
  <mo>…</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>366</mn>
  <mo stretchy="false">)</mo>
</math></span> seen. Award <strong><em>(M1) </em></strong>for correct symmetrical region indicated on labelled normal curve.</p>
<p> </p>
<p>67.4 (g)     <strong><em>(A1)</em>(ft)</strong>     <strong><em>(C3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Accept an answer of 68 from use of rounded values<strong><em>. </em></strong>Follow through from part (b).</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The Home Shine factory produces light bulbs, 7% of which are found to be defective.</p>
</div>

<div class="specification">
<p>Francesco buys two light bulbs produced by Home Shine.</p>
</div>

<div class="specification">
<p>The Bright Light factory also produces light bulbs. The probability that a light bulb produced by Bright Light is not defective is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>.</p>
<p>Deborah buys three light bulbs produced by Bright Light.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that a light bulb produced by Home Shine is not defective.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both light bulbs are not defective.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that at least one of Francesco’s light bulbs is defective.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>, for the probability that at least one of Deborah’s three light bulbs is defective.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>0.93 (93%) &nbsp; &nbsp; <strong><em>(A1)</em></strong> &nbsp; &nbsp; <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.93 \times 0.93">
  <mn>0.93</mn>
  <mo>×</mo>
  <mn>0.93</mn>
</math></span> &nbsp; &nbsp; <strong><em>(M1)</em></strong></p>
<p>&nbsp;</p>
<p><strong>Note:</strong> &nbsp; &nbsp; Award <strong><em>(M1) </em></strong>for squaring their answer to part (a).</p>
<p>&nbsp;</p>
<p>0.865 (0.8649; 86.5%) &nbsp; &nbsp; <strong><em>(A1)</em>(ft)</strong> &nbsp; &nbsp; <strong><em>(C2)</em></strong></p>
<p>&nbsp;</p>
<p><strong>Notes:</strong> &nbsp; &nbsp; Follow through from part (a).</p>
<p>Accept <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.86{\text{ }}\left( {{\text{unless it follows }}\frac{{93}}{{100}} \times \frac{{92}}{{99}}} \right)">
  <mn>0.86</mn>
  <mrow>
    <mtext>&nbsp;</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mtext>unless it follows&nbsp;</mtext>
      </mrow>
      <mfrac>
        <mrow>
          <mn>93</mn>
        </mrow>
        <mrow>
          <mn>100</mn>
        </mrow>
      </mfrac>
      <mo>×</mo>
      <mfrac>
        <mrow>
          <mn>92</mn>
        </mrow>
        <mrow>
          <mn>99</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>.</p>
<p>&nbsp;</p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - 0.8649">
  <mn>1</mn>
  <mo>−</mo>
  <mn>0.8649</mn>
</math></span> &nbsp; &nbsp; <strong><em>(M1)</em></strong></p>
<p>&nbsp;</p>
<p><strong>Note:</strong> &nbsp; &nbsp; Follow through from their answer to part (b)(i).</p>
<p>&nbsp;</p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.07 \times 0.07 + 2 \times (0.07 \times 0.93)">
  <mn>0.07</mn>
  <mo>×</mo>
  <mn>0.07</mn>
  <mo>+</mo>
  <mn>2</mn>
  <mo>×</mo>
  <mo stretchy="false">(</mo>
  <mn>0.07</mn>
  <mo>×</mo>
  <mn>0.93</mn>
  <mo stretchy="false">)</mo>
</math></span> &nbsp; &nbsp; <strong><em>(M1)</em></strong></p>
<p>&nbsp;</p>
<p><strong>Note:</strong> &nbsp; &nbsp; Follow through from part (a).</p>
<p>&nbsp;</p>
<p>0.135 (0.1351; 13.5%) &nbsp; &nbsp; <strong><em>(A1)</em>(ft)</strong> &nbsp; &nbsp; <strong><em>(C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - {a^3}">
  <mn>1</mn>
  <mo>−</mo>
  <mrow>
    <msup>
      <mi>a</mi>
      <mn>3</mn>
    </msup>
  </mrow>
</math></span> &nbsp; &nbsp; <strong><em>(A1)</em></strong> &nbsp; &nbsp; <strong><em>(C1)</em></strong></p>
<p>&nbsp;</p>
<p><strong>Note:</strong> &nbsp; &nbsp; Accept <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3{a^2}(1 - a) + 3a{(1 - a)^2} + {(1 - a)^3}">
  <mn>3</mn>
  <mrow>
    <msup>
      <mi>a</mi>
      <mn>2</mn>
    </msup>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>1</mn>
  <mo>−</mo>
  <mi>a</mi>
  <mo stretchy="false">)</mo>
  <mo>+</mo>
  <mn>3</mn>
  <mi>a</mi>
  <mrow>
    <mo stretchy="false">(</mo>
    <mn>1</mn>
    <mo>−</mo>
    <mi>a</mi>
    <msup>
      <mo stretchy="false">)</mo>
      <mn>2</mn>
    </msup>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mo stretchy="false">(</mo>
    <mn>1</mn>
    <mo>−</mo>
    <mi>a</mi>
    <msup>
      <mo stretchy="false">)</mo>
      <mn>3</mn>
    </msup>
  </mrow>
</math></span> or equivalent.</p>
<p>&nbsp;</p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A large school has students from Year 6 to Year 12.</p>
<p>A group of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80</mn></math> students in Year 12 were randomly selected and surveyed to find out how&nbsp;many hours per week they each spend doing homework. Their results are represented by&nbsp;the following cumulative frequency graph.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="specification">
<p>This same information is represented by the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>There are <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>320</mn></math> students in Year 12 at this school.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of hours per week these Year 12 students spend&nbsp;doing homework.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo></math> of these Year 12 students spend more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> hours per week doing&nbsp;homework, find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the number of Year 12 students that spend more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math> hours each week&nbsp;doing homework.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why this sampling method might not provide an accurate representation&nbsp;of the amount of time <strong>all</strong> of the students in the school spend doing homework.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest a more appropriate sampling method.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>evidence of median position&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40</mn></math>&nbsp;students</p>
<p>median <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mn>14</mn></math> (hours)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognizing there are <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math> students in the top <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>72</mn></math> students spent less than <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> hours&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(A1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mn>18</mn></math> (hours)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math> hours is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60</mn></math> students&nbsp; OR&nbsp; <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>60</mn><mo>-</mo><mn>4</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>56</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>A1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn></math> hours is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>76</mn></math> students&nbsp; OR&nbsp; <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>80</mn><mo>−</mo><mn>76</mn></math>&nbsp; OR&nbsp; <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>80</mn><mo>−</mo><mn>4</mn><mo>−</mo><mn>56</mn><mo>−</mo><mn>16</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(A1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>4</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math> of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80</mn></math> students OR&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac></math> spend more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math> hours doing homework&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(A1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>80</mn></mfrac><mo>=</mo><mfrac><mi>x</mi><mn>320</mn></mfrac></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>×</mo><mn>320</mn></math>&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>×</mo><mn>20</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<em><strong>&nbsp;(A1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80</mn></math>&nbsp;(students)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>only year 12 students surveyed OR amount of homework might be different for&nbsp;different year levels &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>R1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>stratified sampling OR survey students in all years &nbsp; &nbsp;&nbsp;<em><strong>R1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span> marbles, two of which are blue. Hayley plays a game in which she randomly draws marbles out of the bag, one after another, without replacement. The game ends when Hayley draws a blue marble.</p>
</div>

<div class="specification">
<p>&nbsp;Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span> = 5. Find the probability that the game will end on her</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span>, that the game will end on her first draw.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span>, that the game will end on her second draw.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>third draw.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>fourth draw.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hayley plays the game when <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span> = 5. She pays $20 to play and can earn money back depending on the number of draws it takes to obtain a blue marble. She earns no money back if she obtains a blue marble on her first draw. Let <em>M</em> be the amount of money that she earns back playing the game. This information is shown in the following table.</p>
<p><img style="display: block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> so that this is a fair game.</p>
<div class="marks">[7]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{2}{n}">
  <mfrac>
    <mn>2</mn>
    <mi>n</mi>
  </mfrac>
</math></span>     <em><strong>A1 N1</strong></em></p>
<p> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct probability for one of the draws      <em><strong>A1</strong></em></p>
<p><em>eg   </em>P(not blue first) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{n - 2}}{n}">
  <mfrac>
    <mrow>
      <mi>n</mi>
      <mo>−</mo>
      <mn>2</mn>
    </mrow>
    <mi>n</mi>
  </mfrac>
</math></span>,   blue second = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{2}{{n - 1}}">
  <mfrac>
    <mn>2</mn>
    <mrow>
      <mi>n</mi>
      <mo>−</mo>
      <mn>1</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p>valid approach      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   recognizing loss on first in order to win on second, P(<em>B'</em> then <em>B</em>),  P(<em>B'</em>) × P(<em>B </em>| <em>B'</em>),  tree diagram</p>
<p>correct expression in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span>       <em><strong>A1 N3</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{n - 2}}{n} \times \frac{2}{{n - 1}}">
  <mfrac>
    <mrow>
      <mi>n</mi>
      <mo>−</mo>
      <mn>2</mn>
    </mrow>
    <mi>n</mi>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>2</mn>
    <mrow>
      <mi>n</mi>
      <mo>−</mo>
      <mn>1</mn>
    </mrow>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2n - 4}}{{{n^2} - n}}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>n</mi>
      <mo>−</mo>
      <mn>4</mn>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mi>n</mi>
          <mn>2</mn>
        </msup>
      </mrow>
      <mo>−</mo>
      <mi>n</mi>
    </mrow>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2\left( {n - 2} \right)}}{{n\left( {n - 1} \right)}}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>n</mi>
          <mo>−</mo>
          <mn>2</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mrow>
      <mi>n</mi>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>n</mi>
          <mo>−</mo>
          <mn>1</mn>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
  </mfrac>
</math></span></p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct working      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5} \times \frac{2}{4} \times \frac{2}{3}">
  <mfrac>
    <mn>3</mn>
    <mn>5</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>2</mn>
    <mn>4</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>2</mn>
    <mn>3</mn>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{12}}{{60}}\,\,\,\left( { = \frac{1}{5}} \right)">
  <mfrac>
    <mrow>
      <mn>12</mn>
    </mrow>
    <mrow>
      <mn>60</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mn>1</mn>
        <mn>5</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>A1  N2</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct working      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5} \times \frac{2}{4} \times \frac{1}{3} \times \frac{2}{2}">
  <mfrac>
    <mn>3</mn>
    <mn>5</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>2</mn>
    <mn>4</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>2</mn>
    <mn>2</mn>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{6}{{60}}\,\,\,\left( { = \frac{1}{{10}}} \right)">
  <mfrac>
    <mn>6</mn>
    <mrow>
      <mn>60</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mn>1</mn>
        <mrow>
          <mn>10</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>    <em><strong>A1  N2</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct probabilities (seen anywhere)      <em><strong>(A1)(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\text{1}} \right) = \frac{2}{5}">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>1</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mn>2</mn>
    <mn>5</mn>
  </mfrac>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\text{2}} \right) = \frac{6}{{20}}">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>2</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mn>6</mn>
    <mrow>
      <mn>20</mn>
    </mrow>
  </mfrac>
</math></span>  (may be seen on tree diagram)</p>
<p>valid approach to find E (<em>M</em>) or expected winnings using <strong>their</strong> probabilities      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\text{1}} \right) \times \left( 0 \right) + {\text{P}}\left( {\text{2}} \right) \times \left( {20} \right) + {\text{P}}\left( {\text{3}} \right) \times \left( {8k} \right) + {\text{P}}\left( {\text{4}} \right) \times \left( {12k} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>1</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mn>0</mn>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>2</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>3</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>4</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>,</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\text{1}} \right) \times \left( { - 20} \right) + {\text{P}}\left( {\text{2}} \right) \times \left( 0 \right) + {\text{P}}\left( {\text{3}} \right) \times \left( {8k - 20} \right) + {\text{P}}\left( {\text{4}} \right) \times \left( {12k - 20} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>1</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>2</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mn>0</mn>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>3</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mtext>4</mtext>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></p>
<p>correct working to find E (<em>M</em>) or expected winnings      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{2}{5}\left( 0 \right) + \frac{3}{{10}}\left( {20} \right) + \frac{1}{5}\left( {8k} \right) + \frac{1}{{10}}\left( {12k} \right)">
  <mfrac>
    <mn>2</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mn>0</mn>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>3</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>,</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{2}{5}\left( { - 20} \right) + \frac{3}{{10}}\left( 0 \right) + \frac{1}{5}\left( {8k - 20} \right) + \frac{1}{{10}}\left( {12k - 20} \right)">
  <mfrac>
    <mn>2</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>3</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mn>0</mn>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></p>
<p>correct equation for fair game     <em><strong> A1</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{{10}}\left( {20} \right) + \frac{1}{5}\left( {8k} \right) + \frac{1}{{10}}\left( {12k} \right) = 20">
  <mfrac>
    <mn>3</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>20</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{2}{5}\left( { - 20} \right) + \frac{1}{5}\left( {8k - 20} \right) + \frac{1}{{10}}\left( {12k - 20} \right) = 0">
  <mfrac>
    <mn>2</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>8</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>12</mn>
      <mi>k</mi>
      <mo>−</mo>
      <mn>20</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0</mn>
</math></span></p>
<p>correct working to combine terms in <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>       <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - 8 + \frac{{14}}{5}k - 4 - 2 = 0">
  <mo>−</mo>
  <mn>8</mn>
  <mo>+</mo>
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
  <mi>k</mi>
  <mo>−</mo>
  <mn>4</mn>
  <mo>−</mo>
  <mn>2</mn>
  <mo>=</mo>
  <mn>0</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="6 + \frac{{14}}{5}k = 20">
  <mn>6</mn>
  <mo>+</mo>
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
  <mi>k</mi>
  <mo>=</mo>
  <mn>20</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14}}{5}k = 14">
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
  <mi>k</mi>
  <mo>=</mo>
  <mn>14</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> = 5    <em><strong>A1 N0</strong></em></p>
<p><strong>Note:</strong> Do not award the final <em><strong>A1</strong></em> if the candidate’s <em><strong>FT</strong></em> probabilities do not sum to 1.</p>
<p> </p>
<p><em><strong>[7 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Malthouse school opens at 08:00 every morning.</p>
<p>The daily arrival times of the 500 students at Malthouse school follow a normal distribution. The mean arrival time is 52 minutes after the school opens and the standard deviation is 5 minutes.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives at least 60 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives between 45 minutes and 55 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second school, Mulberry Park, also opens at 08:00 every morning. The arrival times of the students at this school follows exactly the same distribution as Malthouse school.</p>
<p>Given that, on one morning, 15 students arrive at least 60 minutes after the school opens, estimate the number of students at Mulberry Park school.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>0.0548  (0.054799…, 5.48%)     <strong><em>(A2) (C2)</em></strong></p>
<p><img 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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>0.645  (0.6449900…, 64.5%)     <em><strong>(A2) (C2)</strong></em></p>
<p><img 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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{15}}{{0.0548}}">
  <mfrac>
    <mrow>
      <mn>15</mn>
    </mrow>
    <mrow>
      <mn>0.0548</mn>
    </mrow>
  </mfrac>
</math></span>     <strong>(M1)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing 15 by their part (a)(i).</p>
<p>Accept an equation of the form 15 = <em>x</em> × 0.0548 for <em><strong>(M1)</strong></em>.</p>
<p>274 (273.722…)      <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(i). Accept 273.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Colorado beetles are a pest, which can cause major damage to potato crops. For a certain Colorado beetle the amount of oxygen, in millilitres (ml), consumed each day increases with temperature as shown in the following table.</p>
<p style="text-align: center;"><img 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"></p>
<p>This information has been used to plot a scatter diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="specification">
<p>The mean point has coordinates (20, 230).</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the equation of the regression line of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the regression line of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In order to estimate the amount of oxygen consumed, this regression line is considered to be reliable for a temperature <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> such that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>.</p>
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
  <mi>b</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = 15.5x - 80">
  <mi>y</mi>
  <mo>=</mo>
  <mn>15.5</mn>
  <mi>x</mi>
  <mo>−</mo>
  <mn>80</mn>
</math></span>    <em><strong>(A1)</strong></em><strong><em>(A1)</em><em>  (C2)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="15.5x">
  <mn>15.5</mn>
  <mi>x</mi>
</math></span>; <em><strong>(A1)</strong></em> for −80. Award at most <em><strong>(A1)(A0)</strong></em> if answer is not an equation. Award <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong> for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = - 80x + 15.5">
  <mi>y</mi>
  <mo>=</mo>
  <mo>−</mo>
  <mn>80</mn>
  <mi>x</mi>
  <mo>+</mo>
  <mn>15.5</mn>
</math></span>.</p>
<p><em><strong>[2 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">   <em><strong>(A1)</strong></em><strong><em>(A1)</em><em>  (C2)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for a straight line using a ruler passing through (20, 230); <em><strong>(A1)</strong></em> for correct <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>-intercept. If a ruler has not been used, award at most <em><strong>(A0)(A1)</strong></em>.</p>
<p><em><strong>[2 marks]</strong></em> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a = 10">
  <mi>a</mi>
  <mo>=</mo>
  <mn>10</mn>
</math></span>  <strong>AND </strong> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = 30">
  <mi>b</mi>
  <mo>=</mo>
  <mn>30</mn>
</math></span>   <em><strong>(A1)</strong></em><strong><em>(A1)</em><em>  (C2)</em></strong></p>
<p><strong>Note:</strong> Accept [10, 30] or 10 ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> ≤ 30.</p>
<p><em><strong>[2 marks]</strong></em> </p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Dune Canyon High School organizes its <strong>school year </strong>into three trimesters: fall/autumn (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F">
  <mi>F</mi>
</math></span>), winter (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="W">
  <mi>W</mi>
</math></span>) and spring (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
  <mi>S</mi>
</math></span>). The school offers a variety of sporting activities during and outside the school year.</p>
<p>The activities offered by the school are summarized in the following Venn diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_10.56.10.png" alt="M17/5/MATSD/SP1/ENG/TZ1/04"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of sporting activities offered by the school during its <strong>school year</strong>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine whether rock-climbing is offered by the school in the fall/autumn trimester.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements of the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F \cap W’"> <mi>F</mi> <mo>∩</mo> <msup> <mi>W</mi> <mo>′</mo> </msup> </math></span>;</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n(W \cap S)"> <mi>n</mi> <mo stretchy="false">(</mo> <mi>W</mi> <mo>∩</mo> <mi>S</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F"> <mi>F</mi> </math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="W"> <mi>W</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S"> <mi>S</mi> </math></span>, an expression for the set which contains only archery, baseball, kayaking and surfing.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>15     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>no     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Accept “it is only offered in Winter and Spring”.</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>volleyball, golf, cycling     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Responses must list all three sports for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>4     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(F \cup W \cup S)’"> <mo stretchy="false">(</mo> <mi>F</mi> <mo>∪</mo> <mi>W</mi> <mo>∪</mo> <mi>S</mi> <msup> <mo stretchy="false">)</mo> <mo>′</mo> </msup> </math></span><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><strong>OR</strong><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F’ \cap W' \cap S’"> <msup> <mi>F</mi> <mo>′</mo> </msup> <mo>∩</mo> <msup> <mi>W</mi> <mo>′</mo> </msup> <mo>∩</mo> <msup> <mi>S</mi> <mo>′</mo> </msup> </math></span> (or equivalent)     <strong><em>(A2)</em></strong>     <strong><em>(C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The following table shows the probability distribution of a discrete random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{E}}\left( X \right)">
  <mrow>
    <mtext>E</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>X</mi>
    <mo>)</mo>
  </mrow>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>evidence of using <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sum {p = 1} ">
  <mo>∑</mo>
  <mrow>
    <mi>p</mi>
    <mo>=</mo>
    <mn>1</mn>
  </mrow>
</math></span>      <em><strong>(M1)</strong></em></p>
<p>correct working      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{{13}} + \frac{1}{{13}} + \frac{4}{{13}} + k = 1">
  <mfrac>
    <mn>3</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>4</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mi>k</mi>
  <mo>=</mo>
  <mn>1</mn>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - \frac{8}{{13}}">
  <mn>1</mn>
  <mo>−</mo>
  <mfrac>
    <mn>8</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k = \frac{5}{{13}}">
  <mi>k</mi>
  <mo>=</mo>
  <mfrac>
    <mn>5</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span>      <em><strong>A1 N2</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach to find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{E}}\left( X \right)">
  <mrow>
    <mtext>E</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>X</mi>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 \times \frac{1}{{13}} + 2 \times \frac{4}{{13}} + 3 \times k">
  <mn>1</mn>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mn>2</mn>
  <mo>×</mo>
  <mfrac>
    <mn>4</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mn>3</mn>
  <mo>×</mo>
  <mi>k</mi>
</math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 \times \frac{3}{{13}} + 1 \times \frac{1}{{13}} + 2 \times \frac{4}{{13}} + 3 \times \frac{5}{{13}}">
  <mn>0</mn>
  <mo>×</mo>
  <mfrac>
    <mn>3</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mn>1</mn>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mn>2</mn>
  <mo>×</mo>
  <mfrac>
    <mn>4</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mn>3</mn>
  <mo>×</mo>
  <mfrac>
    <mn>5</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p>correct working      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{13}} + \frac{8}{{13}} + \frac{{15}}{{13}}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>8</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mrow>
      <mn>15</mn>
    </mrow>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{E}}\left( X \right) = \frac{{24}}{{13}}">
  <mrow>
    <mtext>E</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>X</mi>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>24</mn>
    </mrow>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span>      <em><strong>A1  N2</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following graphs of normal distributions.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAw4AAAIfCAYAAADZv4vHAAAgAElEQVR4AezdC3xU5Z0//k8G10WMASn8ywQsVLMJtEbRYOjW+Gu4NEC9wA+8VFYSClZZQP2RHyQQdatFuSWv8FeBVTFZAkoLmmzYaiXRxFhDW2JCUVwhMVooIYMFuYRZQHTm/F7fk5zJZGaSTJK5nHPmM6+XZubMuTzP+zmcZ77nuZwoRVEU8EUBClCAAhSgAAUoQAEKUKALAUsX3/ErClCAAhSgAAUoQAEKUIACqgADB54IFKAABShAAQpQgAIUoEC3AgwcuiXiChSgAAUoQAEKUIACFKAAAweeAxSgAAUoQAEKUIACFKBAtwIMHLol4gpBF3DaULdrM7InxCIqKqrtv1hMyN6MXXU2OIOeAB8HsJUgQ03LApTYvvWxgh+LnIdQOKU9T7HZlWjxYzOuQgEKUCCiBcxWJ3xbh7w4rW7z/Ct13TbU2S5FdJEz88YRYOBgnLIyZUqdtneQMykJ42Y8hHVVNrc82lC17iHMGJeGXxR+ArvbN0Z562z8I3aUt+fJtu5FvNFw0SjJZzopQAEKhFzAzHWCb0yp69IxbvZG1NnDcpvMd7K4lAKdCDBw6ASGi0Mg4DyC0icysVoChtQsbKlthkNRoCgOnKsvRlaqFcAn2PrEiyg/ZrS7MRfRWL0b5QCsmRvw8rzrAVRjR/Xh8LSghKA4eQgKUIACfRIwdZ0gMg+juPkbyCz42n+OpmLMk6qu6jXsrDnVJz5uTIFQCDBwCIUyj+FDwImWqpewuPATwLoIxa+uREaSFa0npAXR8TOx+qXVmJf1MopffRRpwy8H8C1sJQvUrkxxa95AWc6U1m5NUwrRoN6oaUHDO+uREdveFBybkYcSV3en9u2jMjaj0n3dCdkocq3nkVxpNi/KxgS169IUZBfVwNbdjSHnYVTvqAaQhDm334P7/uVOWGFD+Y4/orG7bT0Oz48UoAAFzC/QmzoBgNatNO5plJQ93XadvheFauuujuqETgrQMvwW3P7T6wCcwfEzFzpZi4spoCMBeQAcXxQIvcA5pTY3VR4+qFizKpSzfiXgG6W5+GF1G9lO+691+6+VpuJFitVtufY9rIuU4qavFUXxvb1rPdyu5Naebk1Jc7GSru4rVUlPb01n+3pWJa3goOLoIs2O+gIlTba3rlAqzjoU5WyFkmWVNLsdo4vt+RUFKECByBLoTZ2gKIrrWt1eJ7Redy/op074plbJvU7S97BS3PyNW7E6lHMHtyjpUje46im3r/mWAjoUYIuDjoK4yErKaRw5cFQ68iAxIRbRPc787citPQ1F+QYNT/4YMc4vUPZSCWzQlitwNQHb/htfHPfs6pSGFRVNatcoR3M18tOlK9FbyN+5z2MAcz3+NuwR1J9zQHE0oWJFmtziQvn7n+LLTtPs1k1pzmSMi7EAMTdgypykTo7R6Y74BQUoQIEIEehrnWBFau5enFMUOBpy8KPowzqqE7QifAmzYv/BbRKQfrhqzFxsRTrySx/HDLVlXVuXfymgTwEGDvoslwhO1VGUZMS5XVil21EcMkokyHB7pc3EXTcNAnAZoqP7A5bRmFfWDMWxGROaKlFSshkrHliMQnVs8jmcOOsxKDn9YTwycbjaNcpi/WfMz5CuRICteB8+6zCJUgrmzP8Z4qMtgMWKcZOT1PXcUuL91v4x/mtbWzelKTcgRl1jMMZNSWs9xrZ3UdvC/krecFxCAQpQwFPAzzoBKZhz1w3qTShLdDQG6KlO8MyS52fbVuRuLEEtZ1bylOFnHQpcpsM0MUkRIXA1RiZeIyPCcKC+GXaMbvuB7V/mrWNHYViHsLcFhwqXYOL8QrTPY6Tt6yoMHdhf+6D+vS5xJIa6llgwYOBgDHB9dn8zGIOu0v6ZdLWeto0TLTWlyFdniLJh3aShWKd9pf21laOsNhMTJw7RlvAvBShAgQgX6FudAGscRg2TsXDaSy91gpYe+SuDozdgplWrUwDYD6Fk5WOYtW4xZgwbg0NrJ/aoLnTfO99TIBQCHX56heKAPAYFWgUGIGHCXUiVu/zbSvCua9akazCzqLFtxom/oThdBo15vwYMHdjhh76z4Q08pgYNacgqeB2lMkPTN7XI9b05Pn/nI3zhuunvxPmzp3De+zC9WHIKtWXlPoIX913VYdtrf8Ax1/Hdv+N7ClCAApEo0Lc6AQMGY+CA9p80+qkTuinL6NG4696fQqoq7xbvbrbl1xQIg0D7v7IwHJyHjGQBC6JvmolHZJpS20bMeuDJjrMa2RtQ+cYO7Hrncz+QnLA3NeKArGn9J4yfchemJ30HX/7hTbzV2eblO1BQekh9PoTT9icUFP1O/bFvnXUz/sntZpAfB++4SsvHKNtWp86mlFVxwjXlXuvUew6crVjR2l2p8Lcoa/ToPtVxT/xEAQpQIIIETFondFeCzmP4Q/E7UKuqW69FbF/qn+6Oxe8pEAABnqIBQOQueilgGYkZz7yI/G8XIHPrOswdtw5zfe0q9V5Mv36gr2/allkQnTAO06xAoQQhIza2LU9Caup1QJU2xsG9u1I51s0a07EbkXURNjya0odmYidaat/FNrWv1DiMHyNjMNxfFsSMm4w51tVYZ2t9psPc+NFtU9C6r8f3FKAABSJQwHR1gmcZyuDolzwXtn2+HbmPTux+DF0nW3MxBUIlwBaHUEnzOD4FLNZbseQ/ylFb+hpy1ZmNtNWuR3ruayiuqMe591ZhZnzrEGPtW8+/luF34JnfbW17aBzaHij3n3j1kckA6rCt7OOOsyWlv4ba2vb1ren5KK9ahZl9mtXCrZtSWjKu/66PuNw1uxKf6eBZhvxMAQpQwFx1gn/laU3PRXHtZmQmed5s8m97rkWBUApEyRSxoTwgj0WB8AnIA+AWI3bWS0B6MZqLZvLuTvgKg0emAAUoEGYB1glhLgAe3oACbHEwYKExyRSgAAUoQAEKUIACFAi1AAOHUIvzeBSgAAUoQAEKUIACFDCgALsqGbDQmGQKUIACFKAABShAAQqEWoAtDqEW5/EoQAEKUIACFKAABShgQAEGDgYsNCaZAhSgAAUoQAEKUIACoRZg4BBqcR6PAhSgAAUoQAEKUIACBhRg4GDAQmOSKUABClCAAhSgAAUoEGoBBg6hFufxKEABClCAAhSgAAUoYEABBg4GLDQmmQIUoAAFKEABClCAAqEWYOAQanEejwIUoAAFKEABClCAAgYUYOBgwEJjkilAAQpQgAIUoAAFKBBqAQYOoRbn8ShAAQpQgAIUoAAFKGBAAQYOBiw0JpkCFKAABShAAQpQgAKhFmDgEGpxHo8CFKAABShAAQpQgAIGFGDgYMBCY5IpQAEKUIACFKAABSgQagEGDqEW5/EoQAEKUIACFKAABShgQAEGDgYsNCaZAhSgAAUoQAEKUIACoRZg4BBqcR6PAhSgAAUoQAEKUIACBhRg4GDAQmOSKUABClCAAhSgAAUoEGoBBg6hFufxKEABClCAAhSgAAUoYEABBg4GLDQmmQIUoAAFKEABClCAAqEWYOAQanEejwIUoAAFKEABClCAAgYUYOBgwEJjknsukJWVhV/+8pc935BbUIACFKCA6QQuXLiA5ORkbNiwwXR5Y4YoEEyBKEVRlGAegPumQLgF9uzZg5SUFDUZxcXFmDlzZriTxONTgAIUoEAYBbZu3YqMjAw1BfX19YiPjw9janhoChhHgIGDccqKKe2FgNxV+slPfoLU1FTk5uaqezh69ChGjBjRi71xEwpQgAIUMLpAQ0MDEhIS1Gw8+OCDOHHiBH7zm9/giiuuMHrWmH4KBF2AXZWCTswDhFNg/fr1+PDDD7F8+XI1Gbfccguef/75cCaJx6YABShAgTAKSNfV6dOnqylYtmwZdu3ahddffz2MKeKhKWAcAbY4GKesmNIeCmh3lbTuSVFRUfjLX/6Cm266CWVlZUhLS+vhHrk6BShAAQoYWaCkpASzZs2CdE+SVgfpra11W2JrtJFLlmkPlQADh1BJ8zghFZAuSvfffz+GDh2KzZs3q8eWwEEqCbnbVFVVhd27d2Pw4MEhTRcPRgEKUIAC4RFoamrCNddcgxdeeAGLFy+GVif4qi/Ck0IelQL6F2DgoP8yYgp7IaDdQXIf9KZVEqdOncLUqVMxY8YM5OTk9GLv3IQCFKAABYwmoN00ev/999XxDFqdIPnYv3+/2hqttVAbLW9MLwVCJcDAIVTSPE7IBLS7SkVFRUhPT3cd172SKC8vx5QpU9SuS2PHjnWtwzcUoAAFKGA+AV/XfPc6QXK8atUqlJaWsjXafMXPHAVQgIFDADG5K30IyMW/pqbGa5YMz0pCu/sk6/JFAQpQgALmFZBnNni2MnvWCdosfJ7rmVeFOaNAzwUYOPTcjFvoXEBaHAYMGOA1fsGzkpAuSydPnuT83TovTyaPAhSgQF8FZLIMGd/gPuWqZ50gx5D6Q16csruv4tzerAKcjtWsJav7fLWgoXIX3sjLQFx2JVr8Ta/ThrqibEyIikJUbAbW19jg9NhWLvj+DHqWdfjQHw88fqQABSgQNoHe1QtOWw2Ksqeog51jMzaixnbJKwdyrXcPGrxWaFsg9QeDhs50uJwCAAMHngVhELiIhsIleLpoCx5dthXn/U7BGdTlL8TS+snY7lDgqHsAJ7IXIr/ujN974IoUoAAFKKBHgV7WC/Ya5M/+NeqnFMKhfI26jJPInr0RdXbPW0p6zDPTRAHjCbCrkvHKzDwpdh5C4bSJeGLsqzi0diJiusmZs6EQ01IbkX3oGUyMkZjXiZbKJzB6bRyq3p6H+G7CYF/N0t0ckl9TgAIUoEAoBXpUL0iwkY7U+gVudchJVGZPx9qEArw9b3SXd0dZJ4SyYHksswh081PLLNlkPowvcBGN1btRnhiHEdHaaWtBzLjJmHNgN6obLxo/i8wBBShAAQr4L+A8jOod+5CYEIto11aDMW7KT3Bgxx/RyEYHlwrfUCBQAtovsEDtj/uhQHAE1AqiGtaxozDM66ytxo7qw15jHYKTEO6VAhSgAAX0IOBs/CN2lA/C2FFDvFsWynlDSQ9lxDSYT8DrJ5j5ssgcmULA3oz6A/C4s2SKnDETFKAABSjQYwEn7E2NOIBrkTCivb2hx7vhBhSgQI8EGDj0iIsrU4ACFKAABShAAQpQIDIF+jQ4evz48ZGpxlwHSOAiTtQfRNOA63DDNTHo1+VeO1nX0YKjH3+O8yPGIGFof/XBb13tRh4CxBcFjCCwd+9eIyTTK42sF7xIuKBHAp1c633t4+IJ1H/8dwwYnYBrYi5zreFoacLHhy5ixA3X4q8f17qW+3rDOsGXCpfpVUAX9YLSh1dycnIftg7cpnpJh+RIL2kxRDocB5WCNKtizapQznZ7OlxQ6gvu8VrXUV+gpOEepaD+Qrd7ANDtOqFYwRBlEwqItmPoxUOSo5e06CUdvTkN9JJ2psO79Axh0pN6QV33x0pWxQm3zLbWFUgrUOodbot9vNVLnSBJM0TZ+DAM1iK9eLBsvEuYXZX0GlYyXR4C/RGXMhWJ295FbYs2VUZbH9e0qUiJ6++xPj9SgAIUoICpBSyjkHLfcGwr+9jtIaJ2NNUfQ9p9P0Ycf+GYuviZufAI8J9VeNx51O4E7DXImxCL2PklONYWJ1jiZ2JV5kGsXFMBmxNw2iqwZuVBZK6a2e0zHLo7HL+nAAUoQAE9Czhhr1uPCVGJmF9ypG0Wvf6Iv3cpMmvysabyGJy4BFvlRqysuRur7o33nmlJz9lj2ihgEAEGDgYpKHMlUx7cloPYfmMwv9wG27pJGBh1LwobunsWwyAkZW7C2qGvIqlfFPrNfhcJeZuQmTTIXDzMDQUoQIGIE+hlvRCdjMztKzC0aCr6RY3C7LJrkbd9EZJcz/uJOEhmmAJBFWgfTRTUw3DnFHAXsCBm4io0K6vcF3Z8H52Mpe81Y2nHpYDFiuQlRWheUuT5DT9TgAIUoIBhBbqrFyyITlqC95QlXjm0WG/FkqIDYLXgRcMFFAi4AFscAk7KHVKAAhSgAAUoQAEKUMB8AgwczFemzBEFKEABClCAAhSgAAUCLsDAIeCk3CEFKEABClCAAhSgAAXMJ8DAwXxlyhxRgAIUoAAFKEABClAg4AIMHAJOyh1SgAIUoAAFKEABClDAfAIMHMxXpswRBShAAQpQgAIUoAAFAi7AwCHgpNwhBShAAQpQgAIUoAAFzCfAwMF8ZcocUYACFKAABShAAQpQIOACDBwCTsodUoACFKAABShAAQpQwHwCDBzMV6bMEQUoQAEKUIACFKAABQIuwMAh4KTcIQUoQAEKUIACFKAABcwnwMDBfGXKHFGAAhSgAAUoQAEKUCDgAgwcAk7KHVKAAhSgAAUoQAEKUMB8AgwczFemzBEFKEABClCAAhSgAAUCLsDAIeCk3CEFKEABClCAAhSgAAXMJ8DAwXxlyhxRgAIUoAAFKEABClAg4AIMHAJOyh1SgAIUoAAFKEABClDAfAIMHMxXpswRBShAAQpQgAIUoAAFAi7AwCHgpNwhBShAAQpQgAIUoAAFzCfAwMF8ZcocUYACFKAABShAAQpQIOACDBwCTsodUoACFKAABShAAQpQwHwCDBzMV6bMEQUoQAEKUIACFKAABQIuwMAh4KTcoV8CThvqirIxISoKUbEZWF9jg7PbDZ2wN5QhLyMRUbJdVCIy8srQYO9+y253zRUoQAEKUCC8Ar2qF1rQ8M56ZMRKndBan+S90wB7eHPCo1PAtAIMHExbtHrO2BnU5S/E0vrJ2O5Q4Kh7ACeyFyK/7kyXiXYeK8VjqUtx4Ce/wTlFgeLYjYxT+UhdWYWWLrfklxSgAAUooG+B3tQLl3CsJAepGZ/gJ5VnoSit9cmpVb/AysqT+s4uU0cBgwowcDBowRk52c6GEuTkj8GTyyfBagEs1klY/uQY5OeUoKHTxoOLaCz7LQpxJzLu/gGiBcAyHKlz70PitndR29LphkamYtopQAEKRIRAr+oF5xcoe6kEmPMvuHt0jOpksd6GuXOGY1vZx7yhFBFnDjMZagEGDqEWj/jjXURj9W6UJ8ZhRLR2+lkQM24y5hzYjerGi50IXY5ho+JgtX2MfZ9p7QtO2Jsa8fmcyRgXo+2rk825mAIUoAAFdCrQy3rBMgSjxsbCVvMRPnN1WbWjqf485ky5Aa2hhE6zzGRRwKAC/LVl0IIzbLKdh1G9oxrWsaMwzOvsq8aO6sOdjHWwICZ5BjJT92HZnf8XhYda4LRVIK/se9j+f1JYQRj2hGDCKUCBiBfodb0wGMn3/gtSqzJx56JtOGS/CFvlFpQNW4H/kzok4lkJQIFgCHj9dAvGQbhPCrgE7M2oPwAkJsS2djdyfeHHm+hkZG5/Hfk/rcH8MQPRb+5RPLB6AZKtl/uxMVehAAUoQAFdCvS6XrAgOmkRtu/dgJ++MxdjrroWcw/fgdVLblW7weoyr0wUBQwuEKXIaKJevsaPH9/LLblZxAo4WnD0489xfsQYJAzt387Q2fL2NVrfOS7i9N9P4+K3LThqO4+rYq9F3IiB+Ie29Wpqajy36PA5OTm5w2d+oIBeBfbu3avXpHWZLtYLXfLwS18CnV3/O1vusQ/HxdP4++mL+PbMcdjODUDs6O9jREzrDSXWCR5Y/GhoAV3UCxI49PaVnJzc200Dup1e0iGZ0ktadJsOx0GlIM2qWLMqlLPuZ8HZCiXLalXSCg4qDvfl7u/PHVAK5mUpxU1fK4rytdJc8ZSSCquSmrtXOee+XifvAZl0I/wv3ZZNmGj04iHZ10ta9JKO3pwSekk70+Fdero16XW94FDOHdyizHu4WGmSisPRpFSsSFOA25Xc2tPeAB5L9FInSLJ0WzYeZqH6qBcPlo13ibOrkqFjTwMm3jIKKfeleCXcefww9ttScF/KKPg+KS+iYeevMb8pAderXZMuh3Xik/hd7TJgWR52NnQ2qNrrUFxAAQpQgAJ6EuhtveBswM7HVqIp+QetXZMswzFx1Q7U5gLLupylT0+ZZ1ooYCwB37/RjJUHptZQAv0RlzLVYwrV1tmRDqRNRUqcW/elDvmSmTK+6LAEsCD6n25EstVjMT9SgAIUoICBBHpZL6hjI8575DMG/3TzDWC14MHCjxQIkAADhwBBcjf+C1jiZ2JV5kGsXFMBmxPq7EhrVh5E5qqZiNfOSHsN8ibEInZ+CY6pj2homz2jfD2e3fJJ21NBW3DojddQPO3nmNJpwOF/urgmBShAAQqER6D7esEJe916TIhKxPySI62z78XcjHszb0b5E7nYcqhtmm77p3ij6E+Y9vAkxGn1SXiyxKNSwJQC/GdlymLVe6YGISlzE9YOfRVJ/aLQb/a7SMjbhMykQV0kvG32jNosDNuWhquiohAVdStWn7oXv39uBobzTO7Cjl9RgAIU0LtAb+oF2WYzalcPwbYxAxEl9UJ8Lk498BKemzmyk26vendg+iigb4HL9J08ps60AhYrkpcUoXlJke8sRidj6XvNWNrh28thTZqDte/NwdoOy/mBAhSgAAUML9BlvSA3j5bgPWVJx2xarEjKWIv3MlgrdIThJwoER4D3aYPjyr1SgAIUoAAFKEABClDAVAIMHExVnMwMBShAAQpQgAIUoAAFgiPAwCE4rtwrBShAAQpQgAIUoAAFTCXAwMFUxcnMUIACFKAABShAAQpQIDgCDByC48q9UoACFKAABShAAQpQwFQCDBxMVZzMDAUoQAEKUIACFKAABYIjwMAhOK7cKwUoQAEKUIACFKAABUwlwMDBVMXJzFCAAhSgAAUoQAEKUCA4AgwcguPKvVKAAhSgAAUoQAEKUMBUAgwcTFWczAwFKEABClCAAhSgAAWCI8DAITiu3CsFKEABClCAAhSgAAVMJcDAwVTFycxQgAIUoAAFKEABClAgOAIMHILjyr1SgAIUoAAFKEABClDAVAIMHExVnMwMBShAAQpQgAIUoAAFgiPAwCE4rtwrBShAAQpQgAIUoAAFTCXAwMFUxcnMUIACFKAABShAAQpQIDgCDByC48q9UoACFKAABShAAQpQwFQCDBxMVZzMDAUoQAEKUIACFKAABYIjwMAhOK7cKwUoQAEKUIACFKAABUwlwMDBVMXJzFCAAhSgAAUoQAEKUCA4AgwcguPKvVKAAhSgAAUoQAEKUMBUAgwcTFWczAwFKEABClCAAhSgAAWCI8DAITiu3Gt3Ak4b6oqyMSEqClGxGVhfY4Ozu23cv5ftd21HXkYioqLGIbvypPu3fE8BClCAAkYT6GO94LTVYdcbeciIlXolB5UtPapVjKbF9FIgLAIMHMLCHukHPYO6/IVYWj8Z2x0KHHUP4ET2QuTXnfELxmnbg/W/SMOdJc0YlVGMc0ot1k4c4te2XIkCFKAABfQo0Jd64RJsNRvxi6S5KDl8DTKqzkJpXoWJMfyJo8eSZpqMLXCZsZPP1BtRwNlQgpz8MXjy0CRY5bpunYTlT76H0TkluOvteYjv6lpvr0H+7Mdw4K4XUffYra3bGxGBaaYABShAAZdA7+sFJ+x1GzF7xn7cVVqOx5Kt6KoKcR2QbyhAgV4J8N9Xr9i4Ue8FLqKxejfKE+MwIlo7/SyIGTcZcw7sRnXjxS52fQZ1L/4a+dfmYBWDhi6c+BUFKEABIwn0oV6w1+LFpa/h2g2/ZtBgpCJnWg0roP1yM2wGmHCDCTgPo3pHNaxjR2GY19lXjR3Vhzsd66DekVr2Debc+j/4zS9kbEMUYjPW452GFoMhMLkUoAAFKOAS6HW9cBENO/OwDJNwq/N1/ELGNkQlIiOvDA12jm9w+fINBQIoEKUoitLb/Y0fP763m3K7SBVwtODox5/j/IgxSBjav12hs+WuNZy4eOILfHzyH3Ht94ZhyJX/ADgu4MSRRvz166H4YfwwXNkPqKmpcW3h601ycrKvxVxGAd0J7N27V3dp8idBrBf8UeI6HQQ6u/53tty18UWcqK/HyQHD8b1h38GV/xAFx8WTOHLwKL4eFo9465WoY53g0uIb4wvool6QwKG3r+Tk5N5uGtDt9JIOyZRe0qLbdJytULKsViWt4KDicD8LOlvuWueEUpGVpFizKpSzrmWK4qgvUNLgY39u62hvAWhvw/pXt2UTJhW9eEj29ZIWvaSjN6eEXtLOdHiXnm5NOrv+d7Zcy5r6fZKSVXFCW6IoygWlvuAeBbhHKai/4Lbc+61e6gRJmW7LxpstJEv04sGy8S5ur84ixo/HmANdC0THIiEROFDfDHtPEuo8icP7m722sMT9GPel9WJ/XnviAgpQgAIUCItAL+sF5/HD2G/zTHF/xKVMRRq+QH1Tj2oZzx3xMwUo4EOAgYMPFC4KooBlFFLuS/E6QGsFkIL7Ukb5nhHDMgSjxsbCtv8wjnt1XR2AxIRYRHvtlQsoQAEKUED3Ar2sFyzDRmGstRn7D5/0MTbuWiSMYK2g+7JnAg0nwMDBcEVm9AS33g1K3PYual0P53HC3tSIA2lTkRLnNu6hQ1YHY9yUNFgP7MMntkvt39ibUX/g5s4DjvY1+Y4CFKAABXQp0Mt6IeYGTJkTiwN7PoXNdUPJn/pElwhMFAUMIcDAwRDFZK5EWuJnYlXmQaxcU6Fe7J22CqxZeRCZq2a2P8PBXoO8CbGInV+CY2qFYEFM6sPYMO19LM75DQ7JjBlOG2oKXsP+zKW4N76zgMNcdswNBShAATMKdF8vyPMa1mNCVCLmlxxpa2EYgtRHczDt7V8hZ8snavdXp+1PKCg60rE+MSMY80SBMAkwcAgTfGQfdhCSMjdh7dBXkdQvCv1mv4uEvE3ITBrUNYtlJGY+V4yixEpMvKofovrNRfHgh7ElM5ndlLqW47cUoAAFdC7Qu3rBMnwGnqvKQ+L79+OqKKlP/guDH83rvj7RuUaok9fU1ITy8nKcPn0aJSUl6n+yjKwR6JQAACAASURBVC8KeArwydGeIvwcGgGLFclLitC8pMj38aKTsfS9Ziz1/DY6Hj9dWoTmpZ1s57k+P1OAAhSggDEEuqwXLIhOWoL3lCUeebEgOn4KlhbJfx5f8WO3Avv378fGjRvxyiuvYPr06bDb7fjzn/+sBhCzZs3CsmXL8Oijj2LEiBHd7osrRIYAWxwio5yZSwpQgAIUoAAFKKAKXLhwAatWrcJNN92EG2+8EV999RVKS0txzTXXYN26ddi8ebO6bNCgQeoyaY3giwIiwMCB5wEFKEABClCAAhSIEAHpgnT//ffjr3/9K44ePYrFixdj8ODBXrmXZTk5OaiursaUKVOwYcMGr3W4IPIE2FUp8sqcOaYABShAAQpQIAIFJGiYOXOm2srw/PPP44orruhW4dZbb1WDh5SUFMTGxqrbd7sRVzCtAFscTFu0zBgFKEABClCAAhRoFZDuST0NGjQ7LXiQcQ979uzRFvNvBAowcIjAQmeWKUABClCAAhSIHAEJGmSQs4xn8LelwVNHgoeioiIsWbIEnHHJUydyPjNwiJyyZk4pQAEKUIACFIhAgddffx0fffQRfvWrX/nVPakzovT0dDX4ePrppztbhctNLsAxDiYvYGaPAhSgAAUoQIHIFZApVzMyMtRxCoGYVlWCD5l9adq0aRzvEIGnFVscIrDQmWUKUIACFKAABcwvIF2UHnroITz77LOQrkaBeEnwUVxcjDVr1uDUqVOB2CX3YSABBg4GKiwmlQIUoAAFKEABCvgrIF2U5CXjEgL5ktYGmWHpxRdfDORuuS8DCLCrkgEKiUmkAAUoQAEKUIACPRGQAczSRamsrKxP4xp8HVOmcX3qqafUB8jdfffdiI+P97Ual5lQgC0OJixUZokCFKAABShAgcgWkNmTHnzwQaSlpQUFYuzYsVi2bBleeeWVoOyfO9WnAFsc9FkuTBUFKEABClCAAhTolUBDQwNyc3NRX1/fq+393UgCk4SEBEyfPj1gYyj8PTbXC48AWxzC486jUoACFKAABShAgaAIZGVlqa0Bwe5CJPuXVgcJUviKDAG2OERGOTOXFKAABShAAQpEgIA82XnXrl1Bb23QKLVWBzluoGZu0vbNv/oTYIuD/sqEKaIABShAAQpQgAK9EpC7/9IKEOzWBi1xbHXQJCLjL1scIqOcmUsKUIACFKAABUwuIA97C2Vrg8aptTrI8WXQNF/mFWCLg3nLljmjAAUoQAEKUCCCBLZv3x7S1gaNVmt1kOPzZW4BtjiYu3yZOwpQgAIUoAAFIkAgVDMpdUaptTrI31B1k+osLVwePAG2OATPlnumAAUoQAEKUIACIRF444031Oc2hOtHuxxXggZJB1/mFWDgYN6yZc4oQAEKUIACFIgAgVOnTuHxxx/H3Llzw5pbOb6kQ9LDlzkFGDiYs1yZKwpQgAIUoAAFIkRAxhbo4SFsMh2rpINjHcx74jFwMG/Z6jtnThvqirIxISoKUbEZWF9jg7OHKXYeK8H82HtR2HCxh1tydQpQgAIU0J1An+uFSzhWshixUwrR0NMKRXcY/ifowoUL2Lp1K9LT0/3fKIhrSjokPZIuvswnwMDBfGVqgBydQV3+Qiytn4ztDgWOugdwInsh8uvO+J925xGU/tuvUGjzfxOuSQEKUIACehXoe73gPPYm/m3xRkRatbBv3z61UKdNm6aLwtXS8cEHH+giPUxEYAUYOATWk3vzQ8DZUIKc/DF4cvkkWC2AxToJy58cg/ycEj/vEkkFk4s9Q26A1Y/jcRUKUIACFNC3QJ/rBXsN8nP+gCE/vV7fGQ1C6uSBb3KX/4orrgjC3nu+S0mHpGfTpk0935hb6F6AgYPui8hsCbyIxurdKE+Mw4ho7fSzIGbcZMw5sBvVjd11O3LCXrcVz+MBZE4ZaTYc5ocCFKBABAr0tV44g7oXtwOPLsSUYf8YUX4yBas88G3GjBm6yvfs2bPVdMkD4fgyl4D2y81cuWJu9CvgPIzqHdWwjh2FYV5nXzV2VB/ueqyDvRYvPg88umAcrtJvLpkyClCAAhTwV6BP9YJ2M2k2FiQN9veIpllPpj5dtmwZRowYoas8DR48WE3X73//e12li4npu4DXT7e+75J7oEAXAvZm1B8AEhNiEd3Far6/0u4qpSPJ1Vrhe00upQAFKEABgwj0pV5wu5nU8zrFID6dJFObglVmMdLjS1odODWrHkumb2mKUhRF6e0uxo8f39tNuV2kCjhacPTjz3F+xBgkDO3frtDZ8vY14Pifv8N2aSBGXN3aFO1oacLHhy5ixA3XYmj/1hi4pqbGbQvvt8nJyd4LuYQCOhTYu3evDlPVfZJYL3RvxDU8BDq7/ne23LW5A/9z/O+4NHgYrr48CsC3aDlaj0Pn/z/ckDAUUsOYuU44ffo0mpub8cMf/tAlorc3n332Ga6++moMGTJEb0kzZHp0US9I4NDbV3Jycm83Deh2ekmHZEovadFtOhwHlYI0q2LNqlDOup8FZyuULKtVSSs4qDjcl2vvz+1V8leUKk2uLx3K2YoVihX3KAX1F7S1uvwLoMvvQ/WlbssmVAAex9GLhyRLL2nRSzo8isqvj3pJO9PhXVy6NelVveBQztX+u7Ki+LBbnXFCqchKUpBWoNS76gpvB22JXuoESU9vymb69OlKcXGxlp2A/O1NOro6cFlZmXLLLbd0tYrP7wKdDp8H8XOhXtKil3Swq5IhY04DJ9oyCin3pXhlwHn8MPbbUnBfyih4n5ROtNSUInf1DIzoF4UoefZDVD8MnLQaNryO+QlXICrC5u32AuQCClCAAkYV6FW9cAo1O1/B6lmj0E+tE6ReGIpJ6+qA8vlI6BeLKYWHuh4zZ1QvADLoWAZFp6am6joXt912Gz788EPs2bNH1+lk4vwX8P6N5v+2XJMCvRDoj7iUqUjc9i5qW7Qn9Dhhb2rEgbSpSIlz677k2rsFMRNXoVlRpMmg7T8HzlasgBX3oKD+ApSyeYjn2ewS4xsKUIACxhHoTb0wBBPX1rrVCVI3nEBFVhKQVoB6RzPK5o32cSPKOCpdpVQGHT/77LOQQch6fsnUrC+88AK2bNmi52QybT0Q4E+tHmBx1cAIWOJnYlXmQaxcUwGbE3DaKrBm5UFkrprZ/uPfXoO8CbGInV+CY1p8EZjDcy8UoAAFKKAzge7rBZk9aT0mRCVifskR07Yk+FMs2qDon/3sZ/6sHvZ1ZKrYV155BU1NTWFPCxPQdwEGDn035B56LDAISZmbsHboq0jqF4V+s99FQt4mZCYN6vGeuAEFKEABCphBgPWCv6VYVVUFmUlp7Nix/m4S1vVkqtgHH3wQpaWlYU0HDx4YgcsCsxvuhQI9FLBYkbykCM1LinxvGJ2Mpe81Y6nvbwFo3Zc6XYFfUIACFKCAkQS6rBcsiE5agveUJV3kqK37UhdrmOGrrVu3qk9mNlJe5s6di5SUFMyfP183T7g2kp+e0soWBz2VBtNCAQpQgAIUoAAFOhEwyqBoz+TfeuutuOWWW/DBBx94fsXPBhNg4GCwAmNyKUABClCAAhSITAEZFC2DjfU+KNpX6SxfvhybNm3y9RWXGUiAgYOBCotJpQAFKEABClAgMgW0QdFpaWmGBJCpY2UKWWk14cu4AgwcjFt2TDkFKEABClCAAhEi8Oabb6qDouPj4w2ZY2klkSlkpdWEL+MKMHAwbtkx5RSgAAUoQAEKRIjAhg0bsHDhQkPn9u6778bjjz8OaT3hy5gCDByMWW5MNQUoQAEKUIACESKgPXlZnsRs5Je0lshUstJ6wpcxBRg4GLPcmGoKUIACFKAABSJEQMYGpKenm2Iq02XLlkFaTy5cuBAhpWeubDJwMFd5MjcUoAAFKEABCphIQJ64nJubC3kCsxleN998s5qNffv2mSE7EZcHBg4RV+TMMAUoQAEKUIACRhGQJy7LXXp5ArMZXldccQUWL16sBkNmyE+k5YGBQ6SVOPNLAQpQgAIUoIAhBKQ7zyOPPKKOCzBEgv1M5B133MGpWf200ttqDBz0ViJMDwUoQAEKUIACFADw9ttvq0GDPHnZTC+ZmlUeZLd9+3YzZSsi8sLAISKKmZmkAAUoQAEKUMBoAmvWrFEHRRst3f6kVx5kJ2M3Ghoa/Fmd6+hEgIGDTgqCyaAABShAAQpQgAKagEzB+uGHH2LatGnaIlP9lalZZexGeXm5qfJl9swwcDB7CTN/FKAABShAAQoYTkDuxkt3HhlMbNbX7Nmz1TEcfCCccUqYgYNxyooppQAFKEABClAgAgT279+vDh6WH9Zmfo0dO1Ydw8GxDsYpZQYOxikrppQCFKAABShAgQgQkB/Szz77LGQQsdlf0l1JZo5iq4MxSpqBgzHKiamkAAUoQAEKUCACBGSwsHRTuvvuuyMgt4DMGDV9+nS8+eabEZFfo2eSgYPRS5DppwAFKEABClDANAKvvPKKOmhYBg9HymvhwoXYsGED5LkVfOlbgIGDvsuHqaMABShAAQpQIEIEmpqa1NaGBx98MEJy3JrN2267TX0jz63gS98CDBz0XT5MHQUoQAEKUIACESJQWloKCRoiqbVBilZmjlq+fDnkuRVsddD3yc7AQd/lw9RRgAIUoAAFKBABAjI4WAYJz507NwJy651F7XkVH3zwgfeXXKIbAQYOuimKCEuI04a6omxMiIpCVGwG1tfY4OyWoAUN76xHRmwUomS7CdkoqvNnu253zBUoQAEKUCDcAr2pF+wNeCcvA7FSJ0TFYkL2NtTZLoU7J706vsykJIOEZbBwJL6k1WHx4sXYtGlTJGbfMHlm4GCYojJTQs+gLn8hltZPxnaHAkfdAziRvRD5dWe6yOQlHNu1DW/hdmxsVqA4mrH3ruNYMe6X3WzXxS75FQUoQAEK6ESgF/WC8wh2ba4E7noBzYoCR/PruOv4OoybvRF19u5vRekk42oynE6n2togU5NG8uuOO+5Qn19ht9sjmUHXeWfgoOviMWfinA0lyMkfgyeXT4LVAlisk7D8yTHIzylBQ2fXeucxfDbwLjz203hEC4vFiuTHVuCZtH3I37kPLeakYq4oQAEKRIRAb+oF51+bMPDeefhpfIxqZLHeisceX4K0qtews+aUodzOnj2LW265JWJbG7TCkudWyNOybTabtoh/dSbAwEFnBWL+5FxEY/VulCfGYUS0dvpZEDNuMuYc2I3qxou+CSzfR2rqNdC2UFeyDMGosbG+1+dSClCAAhQwiEDv6gXLdbcidfjlHfJoGTYKY60dFun+gwwGbm5uVgcH6z6xIUigPC379OnT2LNnTwiOxkP0VKDD77Cebsz1KdBjAedhVO+ohnXsKAzzOvuqsaP6sB9jHdyP+h1MG39dayuE+2K+pwAFKEABYwgEul4Y8COMT2hthTACgDYFqTY42AhpDmYapdVh5MiR2LJlSzAPw333UsDrp1sv98PNKOCfgL0Z9QeAxITYvv/Yb/kYZfunYmGaR0uEfynhWhSgAAUooAeBgNULTrTUVmH/gnSkebRE6CGbvtIgrQ0yBWlsbKw6JamvdSJx2dVXXw15EJ48RZsvfQlEKYqi9DZJ48eP7+2m3C5SBRwtOPrx5zg/YgwShvZvV+hsefsaHu8c+B9bE1piRsB6ZT/XdzU1Na73vt4kJyf7WsxlFNCdwN69e3WXJn8SxHrBHyWu00Ggs+t/Z8s7bOz2wfE/sB2xI2bkd6FVC3qvE2QQ8JEjRzBmzBhYLLyX61aaOHr0qPrxmmuucV8c0e91US9I4NDbV3Jycm83Deh2ekmHZEovadFtOhwHlYI0q2LNqlDOup8FZyuULKtVSSs4qDjcl/t871DO1f67klVwQDnn83vfCwH4/iLES3VbNiF20A6nFw9Jj17Sopd0aGXUk796STvT4V1qujUJSL1wWqnNf0opONihZvFGcFuihzph+vTpygsvvMBrj1u5yFs5V+vr6+XGtvrX4+uQftTtv5uQKrQfjOFtRMeuYci8ZRRS7kvxOrDz+GHst6XgvpRRHQdAe60JOI/txuZPUvDkvOv73t3Jx/65iAIUoAAFQijQ53pBpuv+LT6ZtgTzRhtnbIMM/t21axdkMDBf3gLy9GyZnla6LPGlH4HL9JMUpiQyBPojLmUqEp94F7WPp2JijMSuTtibGnEgbSpeiHPrvuQBIk/V/PvBN7H1LeD29Dj8sbwcdnsLLh7biz1nfohJP2ytMA4dOoQzZ3w/EyIrK8tjr8CPfvQjr2Wy4Prrr3ctHzBgAEaMGOH6zDcUoAAFKBAogd7XC8Al2CoLsfOqO/GYK2howaGiXTj+v/8FqWodE6h0BnY/ubm56tSjMhiYL98CDz74IBISEiB/JZDgK/wCDBzCXwYRlwJL/EysyvwFlq6pwJhnfopv9u/AqhW1uD19HD4pLcGf7XZ88pd38GFxKfZcGIZvTjZ6Ga1e7b4oAVMfdODKc62n8/e+9z2MHj3afQXXe88gQfqX/vnPf3Z9r72RqeBmzZqlffT6qz2kR44lg9rkpQUavLh5cXEBBShAgS4FPOuF735ZgTUrDyIzLwvxat8IJ+x1z+HOcYW4tvhNbJ45Eha0oKFkDR6etRpV+Fdkuh8hrQD1c/TbqUJrbSgsLHRPNd97CLi3Oqxbt87jW34MhwADh3CoR9gxZdYIGeR04sQJfPnll1BbBE7H4u8770fs6q9cGndZB+DPbXcUfnTL9fjynbdw4MZf4D9z78bQE+V4+p5H8NsvXau3v0nLwnMvzWurXNoX+3o3c+ZMX4t9Ltu8ebNrubR2nDx5Uv18/vx5fPHFF+p7ycvf/vY3dc5pz0BDCy4kWImOjsaoUaMwZMgQ1z75hgIUoAAFNIFBSMrchLXPLUdSvzTYUrOwJW8T5iQN0lbw+HsJx0pykDprI7wfFWZF2n0/Rpx+4wawtcGjOLv4yFaHLnDC8BUDhzCgm/WQWoBw+PBhHD9+HJ988gn++7//G9LNR17yVMzU1FRoLQLTZ8zG0KFD1R/TvppqZ87ObqcaHY/fHF+M37QvCek7SZ97GseOHet1fAk0NAMtuNBaNGRKOenLqr2ky5TWWiEtFRJQuO9fW49/KUABCkSMgMWK5CVFaF5S5CPLFkQnLcF7yhLXd8NnbkCzssH12Shv2NrQs5KSVodnn30WUm+Wlpb2bGOuHXABBg4BJ42MHTY1NalTyEkLgnT1qaqqwocffqhmfvr06WpfRLnT/tZbb+E///M/IdOpXXHFFabHkTxqXZV8BRcSQEjLhNhIa8VHH33UoUuUtFJIIDFs2DC1hULbl+nhmEEKUIACESAgN5eWLFmCoqIi3izqQXkvWLAAjz/+uPo06VtvvbUHW3LVQAswcAi0qAn3pwUJn3/+udqKIE2s2kv7oTt58mSfP3TXrl3r+iGtbRPJfyUQkBYY9y5T0lIhxtIVSrpASSC2YcMGVyAmzbQ33nij6ijdnRhMRPIZxLxTgAJGFtCeEn3PPfcYORshT7u0yL/wwgtqF6+bb745Im5EhhzZzwMycPATKlJWk7780mdf+wGrBQlaNyO5U/6Xv/xF7VrDWYYCd1aIpfwnrRRaUKF1e5IuX9I6sWnTJld3JwkmbrvtNlx33XUYOXIkZ3wKXFFwTxSgAAWCIiD1qzwlevny5fzh2wvh+fPnY+vWrZDgS6sne7EbbtJHAQYOfQQ0+uZyp/vTTz9FbW0t5AmbWj987YdpdXU1f5iGqZC1bk/uLQyegZ3WMuEe2ElXJ/dtwpR8HpYCFKAABdwEtm/frs7CN23aNLelfOuvgNSJEnRJ8CXjJTku0F+5wK7HwCGwnrrem/sdbOkO496aMGPGDCxcuBAy3Rl/dOq3GOVCKf+5t0xoXcmkJUjuxGizO2nB3w033KAOxOZFVr/lypRRgALmFpDxbY888ojaYh8J4/2CVZrS0iCtDhI8cHrWYCl3vV8GDl37GPpbCRTq6+vx8ccf44MPPnA9fVH7QSmtCWPGjGHUbuhShtpNSbo5aQPGnn/+ebXcte5mGRkZag5l0LqMRbnpppvUcjd4tpl8ClCAAoYRkBt1MibQ16QZhsmEThIqAYM8FE6euE3P0BcKA4fQmwftiNKN5eDBg+odjc8++8w1DapcrKQ//KJFi9R/bLzbEbQi0MWOpXzlYqq1SshFVu52aWMlZEYPmQHryiuvxKpVqzBu3Dj84Ac/4DgJXZQeE0EBCphNoKSkRL1x99VX7c8tMlseQ5kf6RUhA6UfeughvP/++xwvEkp8AAwcQgweyMO5Bwrvvvuua3yCBAryXADpjsRuR4EUN+6+5DzQzoWcnBx1FidpfZDXE088oQYSMk5CuqwxkDBuOTPlFKCAvgSkK6l0Hy0uLmbrfgCLRhsovX79ekidxlfoBHT8XMXQIRjlSHIBkgfHyIBY+YH3ne98R50PuqWlBenp6Wr3FEVR1H5/V199teuHolHyx3SGTkC6Ng0cOFC94MqgeHmy9zPPPIOYmBh19iZ57kZycrLaIiF3y6TFgi8KUIACFOiZwNNPPw3pHsxZgHrm1t3a0rL+8ssvu57t0N36/D5wAmxxCJxlwPfkPuORPC1Rupdod4VlILMEEPIDkC8K9FVAziP5Ly0tDYsXL4Z7a5YMRNNm25LWLJmSlzM39VWc21OAAmYXkGunPORz9+7dZs9qWPIn3XHlQXrS/VZucPH3UGiKgYFDaJz9OkpXgYLcDWY/dL8YuVIABGQGJhlsLf8xkAgAKHdBAQpElID0DpCJKWQSEs5oF7yil94WMvmLtOzIxCAcwxk8a23PDBw0iTD81Qasuk+Nqs18w0AhDAXCQ3Yq4CuQkAcFyoxdnU0BK7Ne8CLeKSm/oAAFTCogNwHlLrgM4NVmuzNpVnWRrbVr12Lq1KkoKChQb3TpIlEmTgQDhxAVrvvUqDK7jfYMBS1Q4NSoISoIHiYgAhJIyH/SVCx3fLQpYLWpf7UpYKVv74033uiaApZ33gLCz51QgAI6FZC6XsYzyHVPWmv5Cr6A1CuvvvqqOmukHI3uwTXn4Ogg+XoOZB4wYID640ma1KR/uDys6/z585CxC3KSy12JSP9R5bTVoCh7CqKiohCbsRE1tkt+lM4l2Oq2IXtCLKKiEpGxfg9sTj824yoBFdCmgJUgYvPmzZBB+vIMEXlCqrRMyN03GcyvDbguLy/ngOuAlgB3RgFzChipXpCg4dFHH1WDBrmZwlfoBGTWQLkBKw/Zk25ifAVPgIFDAGzlYiHdjmRwjsxOIz+OZFYa+bEkP5rcZzySH1XyWe7UshuHG769Bvmzf436KYVwKF+jLuMksmdvRJ29qyjACXvdRsxe+gWmbD8MxbEbGSdWY3Z+Dexuu+bb8AjIhVzuvMlzJHzN3CRdmSRIlH8zMohw//796qDs8KSWR6UABXQnYKB6QQsaZDC0dJ1h/R76s0luwErwkJKSwuAhiPzsqtQLXAkSDh8+rAYL7s9PkG4Zl19+OWRe4ZEjR3KEv9+2F9GwMw/5yZk4NHE4JJq1TlyEJ8umI2fnNLw9b7S6zGt3zgbszHkDyU/uwkTr5QCGY+LyTJSNzsPOu7ZiXnx/r024IHwCvmZuksBa5jiX7nta9yZt5rDRo0errXMShLMSDl+58cgUCI+AceoF96BBbiBGeu+B8JwvrUd1Dx4kiOAYk8CXBlscujHVuhzJHdFf/vKX6h1SuVO6adMmuD8/QbodSWvCd7/7XfVE5bRg3cC6f+08jOod+5CYEIto1/LBGDflJziw449o7KTRwdn4R+woH46EEe1bIeYGTJlzDDuqD6OTzVxH4JvwCkjlKi1v8rBCaZWQ7k3uz5OQQdfyb026+clzS+Qp19ozJaSi5osCFDCxgEHqBfmNcP/996sFwSlB9XE+ugcPMm09X4EVYIuDm6d7S4I0N77yyivqt3IHNDU1Ve2vvWjRInzve9/jHQU3t76+bQ0ABmFs9hDvloXy3ahunI14r9aDi2is3o1yaxyyh0lrg/vra5RLwDF3NOIZGrvD6P69e6uEJFb6CUswIS0Shw4dUrs0ac+UkIkFpFsgWyZ0X6xMIAV6LGCEekG6Vz700EOuMQ1sGe1xMQdtA/fgQW7yStdxlk9guCMycJA7BCdPnsQXX3yh/hiR/tfuP0akb7YM6mSQEJiTrOu9OGFvasQBXIv73FsOut4IgB1N9V8AiVMxIprRQbdcBl1BLvTy71H+017S2uAeTLhPB6sF+fKQOmn9Gzp0aIdttX3wLwUooGcB/dcL0gtBulfKlKucxUef55IED1JXyFg7+Z3Hh+YGppxMHThIgCBdiORuZXNzszpQWZsGVfjkKbjSeiCDlaWrBPtSB+ak4l4oEEwBX8GEdBPUWgyPHz8OeTZKVVWV+rR1SYuMP/r+97+vtk4woAhm6XDfFDC3gPyukIeNSa8E9qHXf1lLK/b777+PX/3qV+pvvOLiYjWQ0H/K9ZtCwwcOcvfx4sWL6gj6L7/8Uv3BcPr0aVc3I6HXfjTIXUiZBlX6VHMMgl5OSguiR8QhEeWob7IDXl2SOktnNEYkXAtsa0ST3Yn4GLY6dCYVKcs9WyYk36dOnVJbF7WbB+4PW5TvpbuTbCdTJA8bNky9lsg2HNwYKWcN86lPAf3VC/Jb4/XXX1dbGeSm4+7du3md0OfJ45UqudkkN4flN6BMxiG/CaUM3VuyvTbigk4FDBE4aC0HMpOR3W5XgwPJkXvrgfRfk3EI0oIgJ4ecFDKokgFCp2Wvmy8scT/GfWkFqO+Qoks4frgRtrSpSInzNTtSf8SlTEUaGjtsBedJHN5/Bmn3/RhxjCU62kTgJwkA5D/3CkIqEC2gkGuKtFBIYCEDG+UBdvK8CXlJ5XL11VerQUV0dLT6V5a77ysCSZllCoREQE/1gjx35oknnlDzzVaGkBR/UA4iemhyewAAIABJREFUXZa++uorrFmzRp14Q7qZzZ49mwFgD7XDHjhoFbh0KZIxB/KSu4Lycu9qIJ+1u4MSHMTGxqqtBxIczJkzB3v37lW34f8MKGAZhZT7huOJso/x+MSJiFGzIGMYjnUZAKgVS2IBympPYeLEIa0Ztzej/sDNuO+FUd4DrQ1IwyQHR8BXQCFHGj9+PKQpW+viKMvkeiStmHKnyv0lNyfkJa0VElhoXaBCccNCghyp/J555hmkpaW5J4vvKWAOgTDXC9LCsG/fPvUGpYyBlOuCjH3kAFtjn15y7ZebRxIwPPXUU+oD48wSQGRlZalddiV/wbzBFZTAQWshkNPrxIkTkC5E8pJZUc6cOaO+d28tUBe0jTmQ91pFLIGCDG6UrkVS2HyZVaA/4u9disw7f401lQl4ZuJQfFm5EStr7kbek/FtAYA87O053DmuENcWv4nNM0fCYonHvavuxp1LN6JyzApM/O4JVK7JR03mv+FJv7s8mdWU+eqtgNZKqV145S6VvGQchTYw258bHbKN1moh76UlVF4SZIwaNUp9L//TjuNa4McbaV2VgGbKlClq66o8rVZLtx+bcxUKGEDAn3rhDOryHsC4/FEo/jAfM4dfDvSxXpCbmXLTUgJzeckYyMLCQv4GMcAZ05MkylTgpaWlajd3+T0qT5yWAEJuxPTmmtyTYwdrXalvJC8yjbnkZf78+UEJdPsUOEi3IYlw5OUrEJDl2iwn8l5aCmTqRHnJWAO5MxeKu3PqAfk/fQtEJyNz+wo8t3wq+k36CqlZa5G3/T4kdTljkgXRSYuwfe1mLE/6R0yypSFry0psn5Ps9jwIfWebqTOWgDYwW1ItFY+8tMBCy4nWiiqfpQuUvNy7WMogbm0WN20b7a8WaMisb1293O+ayXSQcv3loL+uxPidIQVCVC/Izc5PP/0UtbW1ePzxx9XfLcuXL2cLgyFPmp4lWmZekv/27NmDLVu2qAGE3LSW6/oNN9yg/gjv2R7Dt7YEPHKDS1rGpIVcZv56+eWXXXVVoFLWp8Dhsssuc91F0wIBSRiDgUAVT2Ttx2K9FUuKDmBJka98S5CwBO8pSzy+vBzW5EUoal4En5t5rM2PFAi2gNYNSo7T3Z0rrQVDS5MWaLz11lvaoi7/SvAiM4YUFBSoFYVUeMFupu4yQfySAgEW6LpeGISkpW9CWep5UO96Qf6tNRw9qnZDlG7RMtOivKKiotS/cpNTWhfkt4x2U8Bzr/xsXgEtgJDZlyorK/HBBx+oA+ElxzLWTR5AKje+3VuMu7u+h0vLfSzHTTfdpLZKSyAcqJ47fQoc+vfv73W3LVxQPC4FKEABowm4t2BI2rWKaO3atX5nRfYh88hLE7u0AEszdVFREe65556gNFN3lTD5cSaz3EmrSrhfTId3CZjFxL2roGcutTGSstxzhkVtXa1lTz5LoCC9IQL1o0o7Bv8aU0C6fEoAKf9pDyC94447EBMTo3YP9dVi7N6zRnI9aNAgV+8aT4Vrr71Wvbnuudyfz/Lv19+X1io9efJkdWC/dL8L1Ji4KEVRFH8T4rmeFql7LudnClCAAhQIr8Czzz6LnJyckCZCKlUJXPiiAAUoQAH9CZSVlfV5Qo0+tTgISR/ijoCJSgCjh3RIhvSSFqbD+/SiSUcTenT0MMO/X5ltSfq2yh2wn/3sZ94ZDPISrcVED9djnt/ehU2TjiZ68ZBU6SUtTEfHc8ToZSOtwOvXr1fH7khL2w9+8APvDPZwSZ8Dhx4ej6tTgAIUoECABeROv3RTkkHXwZxNI8DJ5u4oQAEKUCBIAjLgW55xJq9ATp7BR2QFqcC4WwpQgALBFpC7STJzhtY9qL6+Xh3vwLnmgy3P/VOAAhTQp4DM7Cc3klJSUtQHI8tTzj1n/+tLytni0Bc9bksBClAgTAL79++HTMX64Ycf8uFUYSoDHpYCFKCAngS0h4NKmgIxnsFX3tji4EuFyyhAAQroWKC8vBwyzd6NN96Io0ePqneT2Mqg4wJj0ihAAQoEWUCmjJUxbjNmzFCn6ZaZ9oLx6vOsShwE17FYOLBInx6SKpaNPstGL+VipHNExjScOHFCfXBRx1IN/ye9lCfT4X0u0KSjiV48JFV6SQvT0fEcMVLZyJiGK6+8MujPIWHg4H2O9GkJ/9F15NOLh5H+8XcUDN4nvZSNXtLBcyQw55peypPp8C5PmnQ00YsHrz0dy0VPHnpKi17O1z4FDt5FzSUUoAAFKEABClCAAhSggBkFOMbBjKXKPFGAAhSgAAUoQAEKUCDAAgwcAgzK3VGAAhSgAAUoQAEKUMCMAgwczFiqzBMFKEABClCAAhSgAAUCLBDAwOEkKrPHqTMDyACOqKhYTCk8BGeAE9yT3TmPlWB+7L0obLjYk80Cs67Thpr1GYhVLaYgu+QQ7IHZc8/2Ym/AO3laOmIxIXsb6myXeraPgK3dgobKXXgjLwNx2ZVoCdh+u9iR04a6omxMkHKIzcD6GluYzkkn7A1VKHkjDxlxOahsCdO/DB2dD07bHqzPSGy9ZkzIQUlDSM6ILk4WAM4jKJk/LozXLv1dR7sG6+bblkpkx0p9oP0XpuuxK5mXcKxkMWKnFKIhDP8E9XHOy7WoDHnav72oKcguqoEtDB5qsdgbUFmyHXkZU5BdedJVUkF9w3qhI69u6oVLsNVsRIZ6zZDfKyVosIfrxGwnCutvSUmGzq6jAQscnMf+gNe21bVLIwX3pYxCwA7gtme/3jqPoPTffoVCm19rB3ilM/hL6R7g55vRrHyN5r134fjiB7AyVBdFLTfOI9i1uRK46wU0Kwocza/jruPrMG72RtSF/B/jRTQULsHTRVvw6LKtOK+lMah/z6AufyGW1k/GdocCR90DOJG9EPl1Z4J6VF87dzZswc+f/g8UP7oMW0OTee9k6Ol8sH+E0vJ++Pl/HIDiaMbeu45hceqa8AVUqtYlHCvNxeLCZm+7EC3R3XW0T/m+hGPvlmCb+zU4bSpS4vr3aa992dh57E382+KNcE9SX/bXo211cs47j+3G5reAuzZ+BEWrn1bMwOz8mtDf3HIeQuHPn0BR8Wos2/pVjzh7vzLrhQ52uqkXnLD/5W2UYyb+o1n7vfIrpK6sCs1Nxg4obh/C+ltS0qG/6yiUgLxOK7W56UpWxYmA7K3vO5H0LFIys2YrVtyjFNRf6Psue7AHR2O18l7T125bnFAqspIUa1aFctZtabDfeqdDURz1BUoaksJXVo6DSkGaNSQWal6tK5SKs442aodytmKFYk0rUOq1RcEuhA77v6DUF9yjoEOaOqwQ1A/6OR8uKI3v/Ulpci+DsxVKljWM56XiUM7VPqekZ2Yq6VarklZwUHFPXlALxrVzvV1HXQnr3Ztze5XctCfd/v31bjcB20rSk/6YkpV+vYKQXwP0cs77SIcS3uuSlG8o6yXWCx3/RemmXnB8obz33t/crrtt9XWY6stWpfD+llTToLfrqKIogWkQaNmHnflbsW5lLgpLqsLctOSEvW4rnscDyJwy0i1sDN1by3W3InX45e0HdJ7E4f3XIPPemxHTvjTo77zSAcAybBTGWoN+aB0c4CIaq3ejPDEOI6K109yCmHGTMefAblQ3hqH7WphV9HM+9Md1qT/CcK1YpIfQ8cPYn/AvuDd5cHiU7LV48Xng0cypGBaeFAC6uo72FcGJlppS5Je/gpXPFqCksiH0d7M7ZOEM6l7cDjy6EFOG/WOHb0LzQS/nvHc6gMsxbFQcIqJaAOsFz/NdN/WC5ftITb3GrZfKJRw/fAQJmTOQHONWWXhmIGifw/9bEtDbdbQVOwClcRENb7yIddL2W7UO82dNQMKdT4Svv7L2A2DBOFwVtBPK3x1LX9JKFK74/9GYvQGZSYP83TC46w34EcYnhDKECW52fO7deRjVO6phHTsKw7zO8mrsqD4cprEOPlMb3oVhPR9k3EshVjxrQ/b2RUhyBXmhJNF+VKYj6ap+oTyw27F0dh11S1mv3job8MbaLbDBhqp1D2HWpFTcGbb+ytoPgNlYkBSmwLQDoh7O+Q4JUj8MmDYOCWH59+edlqAtYb3gP2046wUZ91L4azzbOBfbM5MR7X+qA7emHn5L6uo62k7r9ZOq/St/3/VH/LydrX0la3+Hgqw0oGo1Zj1cEIZ+9G4/AMJ+AZRBjsm4KmES5q/7L/ypbC8aQz6uwLMMnWiprcL+BelIc28R8VzNDJ/tzag/ACQmxIbnomMIwzCfD+qAr4FImDQf67b+AWV/+iIMd6Xdf1SGM7DX03U0ACevZTTmlTWr41dqS19GVqrcV1qMh1+sDX0Zu/0ACMsPEHdOXZzz7gmS96dQW3YMCxZO7NAK6LmWKT6zXvCjGMNZLzjRUpmD2KsSMGn+amz903v4U2M4Js3QyW9JPV1H3c6cAAQO2t4uhzXpDsxb+zs0VzyF1KrXsLPmlPZlCP7KD4DfovjaJTq5sz8EE9fWtlacW+YA62Yh9bFSHAvnBAH2WrxcNASrFozjj+kQnJG6P0S4z4eYiVirDoLbiy1Z8k/kHjxWciS0LUH2WmwuHolV4bqr5XWShPs66pWgvi2wWJE0/ZdYW/EhKlYkoiq/FDUhnVHsDOo2V+LaVQvC1JrlwaeHc75DkqTe3I6ioYuwQC8t4h3Sxw8hFwhrvWBBzMRVrZPK1G5FFrZgVmoOSo6FciZIvf2WlD7m4b6OdjwLOwkcjqIkI85tCj1tKr2Of+Py6vBtx/1B+ktaJy7Ck1nAtrKP+zga/lvYShZ0m46ouDzUnZEfAFYsmjHSrY+cV+J6v8BWggzXlIIdHdqnGpyAvDqPSVelwDOexksF98D2di3q+9zq0NuykQr0bQxeMTdAFWgPysb7JOl9Ofi7ZXQsEhKBA/XNob/D6W8aw7peoM+H3mfGYk1GxurnUJD2Fd7e+3kIy6v1R+XIRdN0eKc1kNfR3pdNhy17ew2UnViGY+LybGShHGW1fb2h5O818EOckZtJI+/HjKC0sPb+Ghjwc763ZSOB886rsSJgN5P8LRtfvx06nG3B+cB6oRtXvdQLcgNlDla/9AzSbH/G3voQtjqoN5OC+FuymxLo8uuAXke7PFLXX3YcXx+oTzJLw+wQzkzSNvoeUNDZfyGfRaOjpfdMDh2/D+6nr5Wm0n9XthwM5ZxOneQoZLMqtc4U4jmTVevsHaGfaatVI/yzl7SmQ0fng+s08V1erq+D8UadyamLa0YYZmTrmM1QX0c7Hj3gn9R/+7NDOMtd62x2ndYJCNfsWZpsGM557dDy13FYKc3/rXLwXOjnD3NPhpqUkM3259uc9YKUgg7rBfWa8eMQzgKp/9+SSsivo57/WgM1q5JXbGJHU2Misu+OD87df6/jac1bikwv2/afA2crVsCKe1BQfwFK2TzEd9K+4rW7gC9wwt7UiM/DMvjsEmyVhdh51Z2YM1obEN2CQ0XbUBXSLgMBR+1mh/0RlzIVidveRa0rn63lcCDMc8l3k/Agf63X88GOpvqzmDb+utB1o2vrNtJ+zVCgnK1AltWKtIKDcCg7MS8+fM8cAEJ9HQ3yqWdvRmPSfNwdMtO27qKuOkHqhhOoyEoC0gpQ72hG2bzRIaqjfNmG4ZzXkuE8hsrn3sZVP//fGK2NB7R/gqLCPX3sJaAdQK9/WS/4Lhmd1gsyJuXzm0I4mYvef0sCCPl11PuM6ftPaXkC467ftz+NWH1icj6qJs9Balim0PLOZGiXtD2ZdEI2iupan1LstFVgzdpTyFk2OcRdIlrQUPIUZk/6V2ROGoF+rq5WAzFm+zeI1SqM0AKF7GiW+JlYlXkQK9dUqE9FVcth5UFkrpoZxiAyZNn3cSCdnA9tT2duf4q5VFobsfb4bCxLc5+Oz0cWzLrIZNdRp60Ou3bVuZ5GrD4x+dl9mPxISkinpNbN6aKnc95+CCUr5mFS5r9iUuw/tncFvioN2/Gd0AXuYSoc1gue8PqoF1qfzuz2FHMJbte8iOM5C8w/mYtnkbR91u111LsRoodLHE1KxYq0ti5C1yvpub9VKup10CVG0ZqcQt0txaGcO7hFSbdqXSDEpFipbXZ/IFwPjXu1+tdKU/Eixeqz61Y4mui18tBc5G8IysbRrOzNT291SM1SttQ2uz1gplewvdvIq1tMqMtAT+fDWeVgwbz2c9OaruQW1yrN4e8xoShqOYW6bKTbiF6vo7073R3N5cqKVGtrvSDl+/p7Sr0OusQoSlv3pZB3XdXJOe84rBTPu76TLr0huB57nU4+upOFomxYL7SVhI7qhXMHlAJ5OGPbbxZreq5SHK76usN5qv12Cf2/D71eR6PEp5Ngh4spQAEKUIACFKAABShAAQqoAn3vqkRIClCAAhSgAAUoQAEKUMD0AgwcTF/EzCAFKEABClCAAhSgAAX6LsDAoe+G3AMFKEABClCAAhSgAAVML8DAwfRFzAxSgAIUoAAFKEABClCg7wIMHPpuyD1QgAIUoAAFKEABClDA9AIMHExfxMwgBShAAQpQgAIUoAAF+i7AwKHvhtwDBShAAQpQgAIUoAAFTC/AwMH0RcwMUoACFKAABShAAQpQoO8CDBz6bsg9UIACFKAABShAAQpQwPQCDBxMX8TMIAUoQAEKUIACFKAABfouwMCh74bcAwUoQAEKUIACFKAABUwvwMDB9EXMDFKAAhSgAAUoQAEKUKDvAgwc+m7IPVCAAhSgAAUoQAEKUMD0AgwcTF/EzCAFKEABClCAAhSgAAX6LsDAoe+G3AMFKEABClCAAhSgAAVML8DAwfRFzAxSgAIUoAAFKEABClCg7wIMHPpuyD1QgAIUoAAFKEABClDA9AIMHExfxMwgBShAAQpQgAIUoAAF+i7AwKHvhtwDBShAAQpQgAIUoAAFTC/AwMH0RcwMUoACFKAABShAAQpQoO8CDBz6bsg9UIACFKAABShAAQpQwPQCDBxMX8TMIAUoQAEKUIACFKAABfouwMCh74bcAwUoQAEKUIACFKAABUwvwMDB9EXMDFKAAhSgAAUoQAEKUKDvAgwc+m7IPVCAAhSgAAUoQAEKUMD0AgwcTF/Ees/gJdjq3kRh9hRERUW1/zchG4W76mBzhiP9R1GSEYeoqDhklBztZQKcsDdU4Y28DMS68pWIjLwdqGxo6eU+uRkFKECBCBBw2lC3azOyJ8S21wlRsZiQvRm76mwIS7VgK0GGei1fgBLbtz0rBNe2bnVcW70Qm5GHNyobYO/ZHrk2BcImwMAhbPQ8MJzHUJlzJ2LH3Yn568o7glStw/wZ45D0iyIcsoelmuiYnh59ugRb5UrcmTAB9yzbCptr20+wddnPMSnhHuRUHgtP5edKC99QgAIU0J+A0/YOciYlYdyMh7Cuqv3qCdhQte4hzBiXhl8UfmKaH9q2rctwz6RZWGSiPOnvrGKKAinAwCGQmtxXDwQu4VjpajywWgKGNGRt2YtmhwJFUaCcO4jirDR1X7atecgtP2qoH9nOhlcxd9JTqML1SM+vbsuXA+fqdyM3/XoA5Vj9wEZUtRgtIOpB8XJVClCAAj0VcB5B6ROZWC0BQ2oWttQ2wyF1giLXz2JkpVoBfIKtT7yI8mOXerp3Haz/MIqbv2mt5yRfjmbUbslCquRp/q+xs+GiDtLIJFCgawEGDl378NtgCbRU4/nFG2HD9ZhX/DJWZyTDqp2N0aMxc/VzKJi3AgXFLyA77RqoX2nNvXFPo6TsaUxQm3rvRaF6sZWuQWXIy0hsb9qOzUBeiVt3J237qPkorHzTbd0pyC6q6aRblHSl2tbWZC5N5dtQZ+uqwjqJqoJNKIcVqbkF2Ljk1rZ8WRAdPwWZjy/FvKyXUfq7R5Aao2U4WMjcLwUoQAGjCDjRUvUSFhd+AlgXofjVlchIsrZe+yHXz5lY/dJq9fpZ/OqjSBt+eWvGtOu6z3qhBQ3vrEdGbHsXIekaVOLq7vQtbCULWuuMjM2odF93QjaKXOt5GEpXqqLstjqoq/rDYzvPjxYrkjJWIC/3dgCv44mCP4IdWT2R+Fl3AgpfFAiDwDe1ucp1gALrCqXirMO/FDQXK+myjft/bds7moqVeVaP79T1rlfmFR9W1CP42t61L6uSmrtXOaem5G9Kcfp1CmBVUtNnK6muddr2n1ag1HeW5G9qldzrZL1UJbe2dW/+ZY5rUYACFIhkgXNKbW6qen23ZlUoZ/2l8HVdV+uFC0pT8SLF6nn9ls/WRUpx09eKonyjNBc/3LFO6bD+7Upu7enWlLiOk6qkp7ems70usippBQdb6xlf6XZt+7BS3PyN1xqu+rCrusVrKy6gQHgEeMtTd6FcJCToW5w40ojPJauJcRgR3dPTUO7m78U5RYGjIQc/irmExrLfotDWvlxxHEbxPOkW9Ane/+KkR1cnK1JXlLd2IXI0Y29+OqzSfza/FDUdug/ZUPW3kXik/iwU5Ws0VzyFVElzeQ0++bKTwXEnjuCAmrEEXBvbPxIKk3mkAAUoEACB0zhyQCajsCIxIRbRPd5j+/VfrReiD6PspRLYcDtya0+r3YMcTcWYJ72dbP+NL457thynYUVFk9o1ytFcjXy1W+lbyN+5z6MVoB5/G/YI6s85oDiaULFCutXaUP7+p/iyx2n22ODzUzjHHqweKPyoN4Ge/mLTW/qZHlMJuDUbu2YiikJUhlz83V8pmHPXDWrFYomOxgD0R/y8nVCUw9g+4STKS95A4YqHMEuavAGcP3EW5903x1145JEJrV2ILFYkz8/AHLUy+RP2fea+phVpc9IxIz4GwOWwjrsNybKeX69TOHOuk+DCr+25EgUoQAEKANosd+3djXzPeOdRL1hGY15ZMxTHZkxoqkRJyWaseGAxCtXK5BxOnPUYT5D+MB6ZOFztGmWx/jPmZ9wJtVoo3ofPOlzKUzBn/s8QLze8LFaMm5ykrseSokCkCFwWKRllPvUkcBmGjozDdQA+P9CIJrsT8T3p72+Nw6hhbf1b1Ww5YT+0DYsmzsXWjhGG+u2AoQMxwD3718Vh5FC3U3/AQAztsIK28gAMG3RlWx9bAJ2up60PYOhIJKoZO4FTDBzcYPiWAhSgQFcCV2Nk4jUAqnCgvhl2jIbcsvH75VUvtOBQ4RJMnF/oceNJ9ngVhg7s2CJ8XeJIDHUdzIIBAwd3rDdc3w3GoKu0+qOr9Vwb+P/musG4irdz/ffimmER4CkaFnYe9LKE/4UFMkOG7Xd47V1t1qTLYJ35YtuME9+gufhh31ADBmPgALdT19mAnY+twFbpqpT1MopLa9HsOIfaXLVjkfc+Pq/BR1+43W06fxYn3BsavLfwf8llI3HzrCQA9XjrvU+9pwxsqUTOfM7b7T8o16QABSJDYAASJtyldge1bSvBu65Zk67BzKLGtnrhbyhOlzszPl4e9YKz4Q08pgYNacgqeB2lMkPTN7XI7WTzz9/5CF+4ugk5cf7sKY+Wah/HDMiii/jioxq166517CgMc6vaArJ77oQCARbgKRpgUO7OT4Hosbj/kZmw4hMUznoIKzrMatSChspivLZrj387szej/oA0NXwH145Pw4zpSfjul39C8Vv1nWxfjW0Fv0eDPB/CaUNNQRG2yebWf8bN/+Sz6aGT/fhaPBjJ9/6/9u4HPory3hf/J0sPRRuRIlQ2BoyICXhB0UDwlngMfxqg1woX/NOmknCAWg+C3uRC+FOtWgoC4Rd+lT/HHgkloLSA5MCtPUBKgB7DEUIiCNxC0ohBQhYF+RNTQI7Zua/vJJPsZnezm93Zndndz7xemt3ZmWee5/0M++x3Zp7n+SnSpM/EnGl4YcWBltGa7LYDWDHrJbyxTsbtfplD77nj4zoKUCBKBSyIfWgiZknfNNtqTHr2FedRjRqqsPe9zdjxZ7UTmRcjOxpqq3FctrLeh2FjnsD45Dvw+X+8jz952r14Mwq2n1Iv9thtH6Kg8I/qnQrrpIdxn3aDwctRO/6xjPr0L1j08lYAT+HX077fsbssHT8g96BAwAJB++cQcM6YQIQLdMZdE36B7flfYULOBiybUoxlU9wVOR254+/Hbe4+0tbF3oth4wYC6yQIScA6db0V30+7R+30rPVxaL3tLRMJTULSMi0B+TsQU1f9XIchUi2ITX4Bm0rqkTHqNWzIScWGHMfjNB0rs+CXeDrR+VZ52634ngIUoEBUCVjuxoRfv4X8b55HzoZlmDJkGdw2C2lPY/zA29uhsSA2aQjGWYF1EoTEr27eNhlpafcC+7U+Do7fwcVYNmkAnJoF6wtY9WKqjj/mf4tJcb91k++BYJvghoWrTCnAOw6mrJYoyZR0TM5+GxXlf8LWPBnZqHWxZuZh67Z9qPxqJ5ZO7N/+CBtqY1OA9c2TxjVNKLcd773zv/EDGe9i4x6UO42W9HNsLS9t3d6aibzibfjNxLtb+zO0ZsWPV51hHfkK/li5r025mh6l2l5ejN9NHdh+mfw4KnehAAUoEO4CFutwZP+uGOXb322eMFMr0UBk5r2LbSWV+GrfYkxUB63QPnP9a7nrcfz6jxuaJ41D84Ry/4Z3Zo0GUIGNu485j5aU+S7Ky1u3t2bmo3j/YkzU5otwPYQua6St28Y2QRdLJhIagRgZBTY0h+JRKGCwgEwUFDcJGyCzd67CRCtvuBlcIzw8BShAAQMFZCS/mYib9FsgcxvqCuXxWS4UoEB7Arzj0J4OP6MABShAAQpQgAIUoAAFVAEGDjwRKEABClCAAhSgAAUoQAGvAnxUySsRN6AABShAAQpQgAIUoAAFeMeB5wAFKEABClCAAhSgAAUo4FWAgYNXIm5AAQpQgAIUoAAFKEABCjBw4DlAAQpQgAIUoAAFKEABCngVYODglYgbUIACFKAABShAAQpQgAIMHHgOUIACFKAABShAAQpQgAJeBRg4eCXiBhSgAAUoQAEKUICqPyfGAAAgAElEQVQCFKAAAweeAxSgAAUoQAEKUIACFKCAVwEGDl6JuAEFKEABClCAAhSgAAUowMCB5wAFKEABClCAAhSgAAUo4FWAgYNXIm5AAQpQgAIUoAAFKEABCjBw4DlAAQpQgAIUoAAFKEABCngVYODglYgbUIACFKAABShAAQpQgAIMHHgOUIACFKAABShAAQpQgAJeBRg4eCXiBhSgAAUoQAEKUIACFKAAAweeAxSgAAUoQAEKUIACFKCAVwEGDl6JuAEFKEABClCAAhSgAAUowMCB5wAFKEABClCAAhSgAAUo4FWAgYNXIm5AAQpQgAIUoAAFKEABCjBw4DlAAQpQgAIUoAAFKEABCngVYODglYgbRILAqlWr8LOf/SwSisIyUIACFKBAgALXr19X24QNGzYEmBJ3p0B0CcQoiqJEV5FZ2mgTOHr0KB566CG12Nu2bcPEiROjjYDlpQAFKEABBwEJGLKystQ1lZWVSExMdPiULylAAU8CDBw8yXB9RAjIVaXHHnsMDz74INauXYuhQ4di165d6N69e0SUj4WgAAUoQIGOCdTW1qJ3797qTuPHj1f/bt++vWOJcGsKRKkAH1WK0oqPlmJv3boVhw8fxquvvtpS5CVLlrS85gsKUIACFIgugddffx1awLBs2TLs2LEDRUVF0YXA0lLATwHecfATjruZX6CqqgpJSUnQHk+KiYnB7t27MWbMGJSWlmL48OHmLwRzSAEKUIACuglIgDBp0iQcOXJEfYRVntaWPnCzZs3C2bNnER8fr9uxmBAFIlGAgUMk1irLpApMmDBB/fv73/8et9xyCyRwkEYiNzcX+/fvx1/+8hd1PbkoQAEKUCDyBS5duoSxY8dC2oYFCxa0tAnaI61paWmQOxBcKEABzwIMHDzb8JMwFtCuKjl2etMCB2k87rjjDixatEhtPMK4mMw6BShAAQr4KND2opHWJsju2iAaclc6PT3dxxS5GQWiT4CBQ/TVecSXWOv4tnLlSsycObOlvI6NhLvAomVDvqAABShAgYgSOHDgAFJTU9XHVbXAwLFNkMJqgQUH0IioqmdhdBZg4KAzKJMzXmDx4sWQETLaPorUtpGQeR0uXLigbmt8rpkDClCAAhQIlkBKSgraPorUtk3QHmXKzMx0uugUrDwxXQqEowADh3CsNea5XQG55dynTx+XIVfdNRLl5eW8Ld2uJj+kAAUoEP4C0i7IYBnS301b2rYJsl4G1bh27RoGDx6sbca/FKCAgwCHY3XA4MtQCtSjau8OvLc8C/3m7kW9r4e221BROBcjYmIQE5eFFWU22NvsK1/4vszTINtot6zbJMG3FKAABSgQcgH/2gW7rQyFc8eonZ3jslajzHbTJefSLjgGDS4bNK+QieAYNHjS4XoKAAwceBYYIHADVeuy8Xrherw4ZwOu+ZyDK6jIn4HZlaOxqVFBY8WzuDB3BvIrrvicAjekAAUoQAEzCvjZLjSUIT/jV6gcsw6NyteoyLqIuRmrUdHQ9pKSGcvMPFEg/AT4qFL41Vnk5Nh+CuvGjcTLg9/BqaUj0dVLyexV6zAurRpzT/0aI7tKzGtH/d6X0X9pP+zfORWJXsJgd7elvRySH1OAAhSgQCgFOtQuSLCRibTK5x3akIvYO3c8liYVYOfU/u1eHWWbEMqK5bEiRcDLT61IKSbLEf4CN1BdugvFg/ohPlY7bS3oOmQ0Jh/fhdLqG+FfRJaAAhSgAAV8F7DXoHTzRxiUFIfYlr26Y8iYx3B883+imjcdWlT4ggJ6CWi/wPRKj+lQIDgCagNRCuvgBPRyOWtLsbm0xqWvQ3AywlQpQAEKUMAMAvbq/8Tm4m4YnNDD9c5CMS8omaGOmIfIE3D5CRZ5RWSJIkKgoQ6Vx9HmylJElIyFoAAFKECBDgvY0VBbjePoi6T41vsNHU6GO1CAAh0SYODQIS5uTAEKUIACFKAABShAgegUCKhz9LBhw6JTjaXWSeAGLlSeRO2t9+KB3l3Rqd1UPWzbWI+zxz7BtfgBSOrZBWVlZe2mIpMAcaFAOAgcOnQoHLLpkke2Cy4kXNEhAQ/f9e7SuHEBlce+wK39k9C767datmisr8WxUzcQ/0BffHqsvGW9uxdsE9ypcJ1ZBUzRLigBLCkpKQHsrd+uZsmHlMgseQmLfDSeVArSrYo1t0S56vV0uK5UFjzlsm1jZYGSjqeUgsrrXlMA4HWbUGwQFnUTCojmY5jFQ7JjlryYJR/+nAZmyTvz4Vp7YWHSkXZB3fb7Sm7JBYfCNrUVSC9QKhsdVrt5aZY2QbIWFnXjxjBYq8ziwbpxrWE+qmTWsJL5aiPQBf1Sx2LQxj0or9eGymh+xjV9LFL7dWmzPd9SgAIUoEBEC1gSkPrMXdi4+5jDJKINqK08h/Rnvo9+/IUT0dXPwhkjwH9WxrjzqN4EGsqwfEQc4qYV4VxznGBJnIjFOSexcEkJbHbAbivBkoUnkbN4otc5HLwdjp9TgAIUoICZBexoqFiBETGDMK3oTPMoel2Q+PRs5JTlY8nec7DjJmx7V2Nh2ZNY/HSi60hLZi4e80aBMBFg4BAmFRVZ2ZSJ2xYgrtMATCu2wbZsFG6PeRrrqrzNxdANyTlrsLTnO0juFINOGXuQtHwNcpK7RRYPS0MBClAg6gT8bBdiU5CzaT56Fo5Fp5gEZOzui+WbXkByy3w/UQfJAlMgqAKtvYmCehgmTgFHAQu6jlyMOmWx40rn17EpmL2vDrOd1wIWK1KyC1GXXdj2E76nAAUoQIGwFfDWLlgQm5yNfUq2Swkt1uHILjwONgsuNFxBAd0FeMdBd1ImSAEKUIACFKAABShAgcgTYOAQeXXKElGAAhSgAAUoQAEKUEB3AQYOupMyQQpQgAIUoAAFKEABCkSeAAOHyKtTlogCFKAABShAAQpQgAK6CzBw0J2UCVKAAhSgAAUoQAEKUCDyBBg4RF6dskQUoAAFKEABClCAAhTQXYCBg+6kTJACFKAABShAAQpQgAKRJ8DAIfLqlCWiAAUoQAEKUIACFKCA7gIMHHQnZYIUoAAFKEABClCAAhSIPAEGDpFXpywRBShAAQpQgAIUoAAFdBdg4KA7KROkAAUoQAEKUIACFKBA5AkwcIi8OmWJKEABClCAAhSgAAUooLsAAwfdSZkgBShAAQpQgAJmFigqKlKzl5ubi6NHj5o5q8wbBUwlwMDBVNXBzFCAAhSgAAUoEEyBVatWYdKkSeoh+vTpg4ceeggHDhwI5iGZNgUiRoCBQ8RUJQtCAQpQgAIUoEB7AnJ3YdasWSgtLVU3mzlzJrZt24bU1FTU1ta2tys/owAFADBw4GlAAQpQgAIUoEBUCLz22mtYuXIlhg8f3lLeiRMnYvr06XjzzTdb1vEFBSjgXoCBg3sXrqUABShAAQpQIIIE5HGkHTt2ICMjw6VUc+bMQV5eHu86uMhwBQWcBRg4OHvwHQUoQAEKUIACESiwfv169W5D9+7dXUqXmJio3nXYvn27y2dcQQEKtAowcGi14CsKUIACFKAABSJQ4NKlS1i7di3S09M9lm7KlCnYsGGDx8/5AQUowD4OPAcoQAEKUIACFIhwgffffx/jx4+H3FnwtDz88MM4fPgwR1jyBMT1FGDnaJ4DFKAABShAAQpEuoDM2yCdoNtbbrnlFixatAhHjhxpbzN+RoGoFuCjSlFd/Sw8BShAAQpQILIF5DEl6RQ9cuRIrwV97LHH+LiSVyVuEM0CDByiufaNLLvdhorCuRgRE4OYuCysKLPB7jU/djRU7cbyrEGIkf1iBiFr+W5UNXjf02vS3IACFKAABYwV8KtdqEfVn1cgK07ahKb2ZPmfq9DgUJLy8nIMHToU8fHxDmvdvxwwYID6uFJVVZX7DbiWAlEuwMAhyk8AY4p/BRX5MzC7cjQ2NSporHgWF+bOQH7FlXazYz+3HS+lzcbxx36PrxQFSuMuZF3KR9rC/ahvd09+SAEKUIAC5hbwp124iXNFC5CWdQKP7b0KRWlqTy4t/ics3HuxpbgSOGRmZra8b++FjLgkczocPHiwvc34GQWiVoCBQ9RWvXEFt1cVYUH+ALwybxSsFsBiHYV5rwxA/oIiVHm8eXAD1bv/gHX4EbKevB+xkn3LXUib8gwGbdyD8nqPOxpXUB6ZAhSgAAV8EvCrXbCfxu7fFgGTf4on+3dVj2OxPoopk+/Cxt3HWi4oyRCrDz30kE/5kI0effRRfPDBBz5vzw0pEE0CDByiqbZNUdYbqC7dheJB/RAfq51+FnQdMhqTj+9CafUND7nsjF4J/WC1HcNHf9PuL9jRUFuNTyaPxpCuWloedudqClCAAhQwqYCf7YKlBxIGx8FW9jH+1vLIagNqK69h8pgHIKGEPHIkIyXJI0i+Lg888IA6dOv169d93YXbUSBqBPhrK2qq2iQFtdegdHMprIMT0Mvl7CvF5tIaD30dLOiaMgE5aR9hzo/+N9adqofdVoLlu/tg0/9KVRsIk5SQ2aAABShAgY4I+N0udEfK0z9F2v4c/OiFjTjVcAO2veuxu9d8/K+0HmoOTpw4oQ7D6m7SN09ZTEpKUj+qrKz0tAnXUyBqBVx+ukWtBAseGoGGOlQeBwYlxTU9btSRo8amIGfTVuT/oAzTBtyOTlPO4tk3nkeKtXNHUuG2FKAABShgJgG/2wULYpNfwKZDq/CDP0/BgNv6YkrN43gje7j6GKwU8dSpUxg9enSHSivDsko/h9OnT3doP25MgWgQiFGkN5Gfy7Bhw/zck7tFrUBjPc4e+wTX4gcgqWeXVgZP61u3aHrVeAOXv7iMG9/U46ztGm6L64t+8bfjH5q3Kysra7uH0/uUlBSn93xDAbMKHDp0yKxZazdfbBfa5eGH7gQ8ff97Wt8mjcYbl/HF5Rv45sp52L66FXH970F816YLSv62CRcvXoQ8qtS7d+82R+NbChgnYIp2QQIHf5eUlBR/d9V1P7PkQwpllryYNh+NJ5WCdKtizS1RrjqeBVdLlFyrVUkvOKk0Oq53fP3VcaVgaq6yrfZrRVG+VupKXlPSYFXS8g4pXzlu5+E1IINuGL+Ytm4MojGLhxTfLHkxSz78OSXMknfmw7X2TGvid7vQqHx1cr0y9efblFppOBprlZL56QrwP5S88svK2bNn5cKo+tdVQ71o6m61uu7IkSPqvh430PkD09aNzuX0NTmzeEh+zZIXs+SDjyoZFzhG55EtCUh9JtWl7PbzNThqS8UzqQlwf1LeQNWWX2FabRIGqo8mdYZ15Cv4Y/kcYM5ybKny1Kna5VBcQQEKUIACZhLwt12wV2HLSwtRm3J/06NJlrswcvFmlOcBcxYUofTTMz7P39CWo0+fPuqq2trath/xPQWiWsD9b7SoJmHhgyvQBf1Sx7YZQrVpdKTj6WOR2s/h8SWnjMhIGW2fN7Ug9r4HkWJ12pBvKEABClAgrAT8bBfUvhHX2pS0K+57+AFIs/DZ6U+QlpbW5nPf3kpnapk07q9//atvO3ArCkSJAAOHKKloMxXTkjgRi3NOYuGSEtjsUEdHWrLwJHIWT0SidkY2lGH5iDjETSvCOXWKhubRM4pXYNH6E82zgtbj1HvvYtu4H2OMx4DDTCVnXihAAQpQwJ2A93bBjoaKFRgRMwjTis40jb7X9WE8nfMwil/Ow/pTzcN0N/wV7xV+iHE/H4Wq0g/wyCOPuDucT+smTJigDufq08bciAJRIqD9TIuS4rKY5hDohuScNVja8x0kd4pBp4w9SFq+BjnJ3drJXvPoGeW56LUxHbfFxCAmZjjeuPQ0/v03E3AXz+R27PgRBShAAbML+NMuyD5vo/yNHtg44HbESLuQmIdLz/4Wv5l4NwrWrkXfvn39Lnj//v3x8ccf+70/d6RAJAp8KxILxTKFgYDFipTsQtRlF7rPbGwKZu+rw2ynTzvDmjwZS/dNxlKn9XxDAQpQgAJhL9BuuyAXj7KxT8l2LqbFiuSspdiX5dwqyMRvsmh9FZx38u3dwIEDMWnSJLz99tu+7cCtKBAFArxOGwWVzCJSgAIUoAAFokmgpqZG7aPQkYnf2vpoQ7FqQUjbz/meAtEowMAhGmudZaYABShAAQpEsID82Pe3Y7TGIhPBjR8/HhKEcKEABZoEGDjwTKAABShAAQpQIKIEPvvss4A6RmsYMmko7zhoGvxLAXgYMp8yFKAABShAAQpQIEwF8vLyAuoYrRWbHaQ1Cf6lQJMA7zjwTKAABShAAQpQIGIEtEnbAukYrWHIqExr167V3vIvBaJegIFD1J8CBKAABShAAQpEjsCZM2fUwgTSMVrT0IIPLRjR1vMvBaJVgIFDtNY8y00BClCAAhSIQIHPP/8cc+bM0aVk2gzSWjCiS6JMhAJhLMDAIYwrj1mnAAUoQAEKUMBZ4ODBg5A5GPRaZHQmCUa4UIAC7BzNc4ACFKAABShAgQgS2L9/P3r16qVbiSQIkWCECwUowMCB5wAFKEABClCAAhEicP36dRw+fBgJCQm6lUiCEAlGuFCAAgwceA5QgAIUoAAFKBAhAmfPnlVLkpiYqFuJJAiRYESCEi4UiHYB9nGI9jOA5acABShAAQpEiIDM8iyzPeu5aEGIFpTomTbTokC4CTBwCLcaY34pQAEKUIACFHArILM8az/03W7g50oJRk6cOOHn3tyNApEjwMAhcuqSJaEABShAAQpEtcBnn32GRx55RHcDCUbq6up0T5cJUiDcBBg4hFuNMb8UoAAFKEABCrgVyMvLg8z2rPciwYgEJVwoEO0CDByi/Qxg+SlAAQpQgAIRIHDp0iW1FD169NC9NBKMSFDChQLRLsDAIdrPAJafAhSgAAUoEAECFy9eVEsRHx+ve2m0YEQLTnQ/ABOkQJgIMHAIk4piNilAAQpQgAIU8CwgnZenT5/ueYMAPtGCES04CSAp7kqBsBZg4BDW1cfMU4ACFKAABSggAqdOncI999wTNAwJSjiyUtB4mXCYCDBwCJOKYjYpQAEKUIACFPAs8Omnn6J///6eNwjwEwlKJDjhQoFoFmDgEM21z7JTgAIUoAAFIkRg7dq1QRlRSeORoESCEy4UiGYBBg7RXPssOwUoQAEKUCACBGpra9VS9OnTJ2ilkZGVJDjhQoFoFmDgEM21b2TZ7TZUFM7FiJgYxMRlYUWZDfaO5Ef237EJy7MGISZmCObubRpNoyNJcFsKUIACFDCRQADtgtZp+YO965AVJ+3KAuyt71Cr4hVCC0q0IMXrDtyAAhEowMAhAivV/EW6gor8GZhdORqbGhU0VjyLC3NnIL/iik9Zt9sOYMU/peNHRXVIyNqGr5RyLB2p/7jdPmWGG1GAAhSggA4CgbQLN1Gxew3+W2wPFNX0Rtb+q1DqFmNkV31/4nTv3l0tpxak6FBoJkGBsBPQ919V2BWfGTZCwF5VhAX5A/DKvFGwWgCLdRTmvTIA+QuKUOXtAlFDGfIzXsLRwW+h4nez8eTIRMQaUQgekwIUoAAFdBPwv12wo6FiNRYtKkfS89n43exnMDKxq275apvQnDlzcPr06bar+Z4CUSPAwCFqqtosBb2B6tJdKB7UD/Gx2ulnQdchozH5+C6UVt9oJ6NXUPHWr5DfdwEWvzRcDTra2ZgfUYACFKBAWAgE0C40lOOt2e+i87Ak/OS/94fWqgSr2PK4EkdWCpYu0w0HgWD/GwsHA+YxlAL2GpRuLoV1cAJ6uZx9pdhcWuOxr4N6RWrOf2Hy8L/j9/8kfRtiEJe1An+uqg9lCXgsClCAAhTQU8DvduEGqrYsxxyMQuWeP+Ddf56EmJhByFq+G1UN3m5f+1eAuLg4jqzkHx33ihCBGEVRFH/LMmzYMH935X7RKtBYj7PHPsG1+AFI6tmlVcHT+pYt7Lhx4TSOXfw2+vbphR7f+Qeg8TounKnGp1/3xH9L7IXvdALKyspa9nD3IiUlxd1qrqOA6QQOHTpkujz5kiG2C74ocRsnAU/f/57Wt+x8AxcqK3Hh273Q8MUZPPzww4j55grOnDyLr3slItH6HVTo3CbcuHEDx44dA9uSlkrgixAKmKJdkMDB3yUlJcXfXXXdzyz5kEKZJS+mzcfVEiXXalXSC04qjY5ngaf1LdtcUEpykxVrbolytWWdojRWFijpcJOewzbaSwDaS0P/mrZuDFIxi4cU3yx5MUs+/DklzJJ35sO19kxr4un739N6rWjq58nKlH/dJxdAm9deVyoLnlKAp5SCyuvalm7/tu7j9mO3K7/88kv1WGfPnnX7ub8rTVs3/hYowP3M4iHFMEtezJIPl4dFQhg48VDRKBAbh6RBwPHKOjR0pPz2i6g5Wueyh6Xf9/FMuh/puaTEFRSgAAUoYIiAn+2C/XwNjtqAK3U1kE7LTUsX9Esdi3ScRmVth1oZn4rOkZV8YuJGESzAwCGCK9eURbMkIPWZVJesNTUAqXgmNcF95zZLDyQMjoPtaA3Ouzy6eisGJcVxdCUXVa6gAAUoEAYCfrYLll4JGGytw9GDpejtMvFbXyTFB2fMPY6sFAbnFLMYNAEGDkGjZcLuBZquBg3auAflLZPz2NFQW43j6WOR2s+h34NTAt0xZEw6rMc/wgnbzdZPGupQefxhzwFH65Z8RQEKUIACphTws13o+gDGTI7D+ZPHcUuvuOaS+dKeBIbAkZUC8+Pe4S3AwCG86y8sc29JnIjFOSexcEkJbHbAbivBkoUnkbN4IhK1M7KhDMtHxCFuWhHOqXcYLOia9nOsGvcXzFzwe5ySETPsNpQVvIujObPxdKKngCMsiZhpClCAAlEl4L1dkPkaVmBEzCBMKzrTPPpeD6S9uAA3zpThT1Wd1cdf7bYPUVB4xrk90VlSRlbyNhCHzodkchQwjYD2M800GWJG/Beora1FcXExioqKcPnyZRw9ehSXLl3yP8Gg7dkNyTlrsLTnO0juFINOGXuQtHwNcpK7tX9Ey92Y+JttKBy0FyNv64SYTlOwrfvPsT4nhY8ptS/HTylAAQqYXMC/dqH67/er5Ur5v/NwW4y0J/8H3V9c7r09CUBj4MCB2LFjRwApcFcKhK/At8I368y5JiABw5tvvom8vDxMnz4d3/3ud9HQ0IDnnnsOhw8fxqJFi/Dkk08iMTFR28X4vxYrUrILUZdd6D4vsSmYva8Os9t+GpuIH8wuRN1sD/u13Z7vKUABClAgPATabRcsiE3Oxj4l26ksFy58iaFDh2L+u2WY/67TR0F706NHDzXtqqoqc7WrQSsxE6ZAqwDvOLRahOUrucPQu3dvdOvWDV9++SXefvttLFu2TF0nt1IrKytx5coVJCUlYcOGDbh+/XpYlpOZpgAFKEABCrQV+Pzzz5GWltZ2dVDfy8hKEqxcuHAhqMdh4hQwowADBzPWio95WrVqFcaMGYPS0lIsWLAA2jBxjrvLXQYJJCSAkO1ffPFFBg+OQHxNAQpQgAJhK3Dw4EHIo0OhXiRYkaCFCwWiTYCBQ5jWuNw9mDVrlho0DB8+3GspJIDYtWuXuh2DB69c3IACFKAABcJAQB4X6tWrV8hzKsGKBC1cKBBtAgwcwrDGDxw4gKysLJ+DBq2IckdC+kLIwuBBU+FfClCAAhQIRwF59FY6KSckJIQ8+xKsSNDChQLRJsDAIcxqXDpCZ2dno7CwEL7caWhbvFtuuQVLly7Fxx9/jBUrVrT9mO8pQAEKUIACYSFw9uxZNZ/Szy/UiwQrErSw32Co5Xk8owU4qpLRNdDB47/++ut48MEHkZmZ2cE9WzeXOw/vvPOO2mG6f//+mDhxYuuHfEUBClCAAhQIA4GamhqMHz8eckEs1IsWrEjwYqoRC0MNweNFnQDvOIRRlcv8DHKnQO4YBLrIF922bdswadIkyF0MLhSgAAUoQIFwEjh//rxhP9olWJGgRYIXLhSIJgEGDmFS2zKRm/zInzdvntvRk/wphtxpkHkf5C4GFwpQgAIUoEA4CZw4cQKPPPKIYVmWC3ASvHChQDQJMHAIk9pesmSJenVD78eKXn31Vaxdu1adbTpMKJhNClCAAhSggDrp6Z133mmYhAQtErxwoUA0CTBwCIPaPnr0qPoFKfMx6L3Ex8erjyxJYCJ3NbhQgAIUoAAFzC6gtVd33323YVmVoCUvL8+w4/PAFDBCgIGDEeodPOZrr72GOXPmBO1ZznHjxqk52rRpUwdzxs0pQAEKUIACoRe4ePGielC5+GXUogUtWhBjVD54XAqEUoCjKoVS249jyZwNMuSbNuycH0l43UU6ecnQrKmpqZgwYQKM/CL2mlluQAEKUIACUS8gjwhJHz0jF62t/Oyzz3Tre2hkeXhsCvgiwDsOvigZuI3cBl25cmXQf8zLnBAyQoQ2QZyBReahKUABClCAAu0KnDp1Sh2avN2NQvChBC+nT58OwZF4CAqYQ4CBgznqwW0utLsNGRkZbj/Xe6U8DiWBCmfD1FuW6VGAAhSggJ4Cn376KeLi4vRM0q+0ZF4lCWK4UCBaBBg4mLimtbsNMmFbKBbtroOMssSFAhSgAAUoYFYBaacGDhxoePYkeCkrKzM8H8wABUIlwMAhVNIdPE6o7zZo2eNdB02CfylAAQpQwIwC2l1xbfZmI/MowYv0Q+RCgWgRYOBg0pqWuw2LFi0KeYcr7a5DcXGxSWWYLQpQgAIUiGaBCxcuYOjQoZCBPYxetOBFC2aMzg+PT4FgCzBwCLawH+nLF5BcwXjyySf92DvwXeSuw6xZszivQ+CUTIECFKAABXQW+OSTT5CWlqZzqv4lJ8GLBDE1NTX+JcC9KBBmAgwcTFhh8uxmMOdt8FZk7a4D53XwJsXPKUABClAg1AIyFKvM2myWRYKY8+fPmyU7zAcFgirAwCGovB1PvLa2Vh3ZKFQjKXnKYWZmJjZs2IDr16972oTrKUABClCAAiEXkEd5ZRdrUaQAACAASURBVNZmsywSxEgww4UC0SDAwMFktbx9+3Z1PoXBgwcbmjNtNumdO3camg8enAIUoAAFKKAJaLM0a7M2a+uN/Nu3b1/1gp+ReeCxKRAqAQYOoZL24ThydV/6FshjSkYv8tymdtchKHmx21BROBcjYmIQE5eFFWU22Dt4IPu5IkyLexrrqm50cE9uTgEKUIACphPwoV2QWZpl0WZtdi7DTZwrmom4MetQ1dEGxTmhDr3r0aOHur08McCFApEuwMDBRDUsV/elk9XDDz9silzJ41LSSfvo0aM65+cKKvJnYHblaGxqVNBY8SwuzJ2B/Iorvh/Hfgbbf/kq1tl834VbUoACFKCAWQV8axdklmZPF9fs597HL2euRqibBS2IOXPmjFlxmS8K6CbAwEE3ysATkj4FM2fONMUQc1IamXhOhoTVu5O0vaoIC/IH4JV5o2C1ABbrKMx7ZQDyFxT5eJVIGpg8HOjxAKyBszMFClCAAhQwWMDXduHgwYPuJ35rKEP+gv9Ajx8YMymcBDOff/65wYo8PAWCL8DAIfjGPh1Bm/Dt8ccf92n7UG30wx/+UH12U3uuNPDj3kB16S4UD+qH+Fjt9LOg65DRmHx8F0qrvT12ZEdDxQa8iWeRM+buwLPDFChAAQpQwGAB39uF/fv34957722T3yuoeGsT8OIMjOn17TafheatTAQnQQ0XCkS6gPbLLdLLafryySNBRkz45g1GOmmPHz8e77//vrdNffvcXoPSzaWwDk5AL5ezrxSbS2va7+vQUI633gRefH4IbvPtiNyKAhSgAAXMLOBjuyAXsA4fPgznjtHaxaQMPJ/c3bBSSjAjQQ0XCkS6gMtPt0gvsBnLpw3BatSEb95MZsyYgVWrVukzNGtDHSqPA4OS4hDr7cAun2tXlTKR3HK3wmUjrqAABShAgXAS8LFdcNsx2uFiUsfbFP2QJJiRoEa/u/P65Y0pUUBPgRhFURR/Exw2bJi/u3I/BwF5LrK+vh733Xefw1rzvLTb7SgvL8f999+P2NgAv5ob63H22Ce4Fj8AST27tBbS0/rWLdD49y9gu3k74r/bdCu6sb4Wx07dQPwDfdGzS1MMXFZW5rCH68uUlBTXlVxDARMKHDp0yIS58p4ltgvejbhFGwFP3/9t1l++fBlXrlzBPffc05xAI/5+/gvc7N4L3+0cA+Ab1J+txKlr38MDST0hLUwo2wQ5ljyydOutt7YpIN9SQB8BU7QLEjj4u6SkpPi7q677mSUfUqiO5uXatWvK0KFDldLSUlObrFy5Upk+fXqH8+ji0XhSKUi3KtbcEuWqY2pXS5Rcq1VJLzipNDqu115/dUjJn79dqW35sFG5WjJfseIppaDyurZVu38BtPt5qD50MQnVgdsch/loA+LHv1/XFPRZY5a68ac0Zsk78+Fae6Y18bFdmDNnjiJtUdPSqHxV/i/K/G01Dm3GBaUkN1lBeoFS2dJWuDpoa/RuEyR/27Zt05Lv0F/T1k2HSqHfxmbxkBKZJS9myQcfVdInCPQ7lQ8++EDd1yxDsHoqyIQJE7B27VoEPE61JQGpz6S6HMZ+vgZHbal4JjUBrielHfVl25H3xgTEd4pBjMz9ENMJt496AzZsxbSkWxAT4nG7XQrAFRSgAAUo4J+Aj+2C9CFITExsPsYllG1ZizcmJaCT2iZIu9ATo5ZVAMXTkNQpDmPWnWq/z5x/ufW4FztIe6ThBxEk4PobLYIKFw5FWbNmjamGYPVkJuNUT58+HTKzdWBLF/RLHYtBG/egvF6boceOhtpqHE8fi9R+Do8vtRzIgq4jF6NOUeSWQfN/jbhaMh9WPIWCyutQdk9FIs/mFjG+oAAFKBA+At7bBZkgVfoQJCQkNBerB0YuLXdoE6RtuICS3GQgvQCVjXXYPbW/mwtRwVNhB+ng2TJl8wjwp5aBdVFVVaVOsGa2IVg9kUyZMgUy14R8gQeyWBInYnHOSSxcUgKbHbDbSrBk4UnkLJ7Y+uO/oQzLR8QhbloRzmnxRSAH5b4UoAAFKGBaAW/twtmzTZOr/TxpEqYVnQnpnQRf0dhB2lcpbhfOAgwcDKy94uJidQZMmWgtHBbtcaqPPvoowOx2Q3LOGizt+Q6SO8WgU8YeJC1fg5zkbgGmy90pQAEKUCA8BdpvF06cOIGsCY+YumjaDNLa6E+mziwzRwE/Bb7l537cLUABGbJt1qxZOHLkSIAphW73W265BZmZmVi/fj2GDx8e2IEtVqRkF6Iuu9B9OrEpmL2vDrPdfwpAe3zJ4wb8gAIUoAAFwkmgnXbh1KkqDBn1U6z/t5ntlKj58aV2tgj2R/JI7+nTpyFzIHGhQCQK8I6DQbUqnbxkYrVw+3LRrZO0Qe48LAUoQAEKhJ+ADHXa2jHavPl/8MEHcerUKfNmkDmjQIACDBwCBPR3d+krIFfvw22RW7Fz5szRoZN0uJWc+aUABShAASMEpF/djh07HDpGG5EL344pwY23uSN8S4lbUcCcAgwcDKiXAwcOqF+C48aNM+DogR9S7pTo0Uk68JwwBQpQgAIUiHSBs2fPqkUMhzsOMuqTBDmBDiIS6XXK8oWvAAMHA+pOvlRWrlwJ6TMQjovWv0GbgyIcy8A8U4ACFKBAeAhIx2i5YBUOixbcaMFOOOSZeaRARwQYOHRES4dtZQK1vLw8SF+BcF5mzpwJmYOCCwUoQAEKUCCYAnV1dUhJSQnmIXRNWzpIS7DDhQKRKMDAIcS1KhOoSR8Bbdi2EB9et8PJ3BNy50TmouBCAQpQgAIUCJbAxx9/jP79+wcred3TZQdp3UmZoIkEGDiEsDLkmUcZgjVcbrm2RyNzT0gAJHNRcKEABShAAQoES2Dt2rUYOHBgsJLXPd24uDh2kNZdlQmaRYCBQwhrYufOnWrQoPURCOGhg3KojIwMNRCSOSm4UIACFKAABfQW0O5q9+7dW++kg5aeBDlyR54LBSJRgIFDCGs1XIdg9UQkc1DI3ROZk4ILBShAAQpQQG+BmpoatZ0Jp8FEtCBHC3r0NmF6FDBSgIFDiPTDfQhWT0wzZszAkiVLPH3M9RSgAAUoQAG/BeTHdzh1jJaCSpAjF9Uk6OFCgUgTYOAQohpdv359WA/B6onp0UcfVT+SwIgLBShAAQpQQE+BcOsYrZVdgh3ecdA0+DeSBBg4hKA25ctDOndJn4BIW+TKisyALUPMcqEABShAAQroKSBtZ9++ffVMMiRpyShQEvRwoUCkCTBwCEGNyhefjEAkIxFF4iIBEYdmjcSaZZkoQAEKGCegXbHv06ePcZnw88jSQVrafi4UiDQBBg5BrlFtwjeZECZSFwmIFi1axC/JSK1glosCFKCAAQLSR2Do0KFhedGNHaQNOGF4yJAIMHAIMrNM+CZBgzYNfZAPZ1jyTz75pPq4kgRKXChAAQpQgAKBCsgdh7S0tECTMWR/dpA2hJ0HDYEAA4cgIsv8BjLh25QpU4J4FHMkLYGRPI4lgRIXClCAAhSgQKAC0kfgkUceCTQZw/ZnB2nD6HngIAowcAgi7qZNmyJqwjdvVDL8nARKnBDOmxQ/pwAFKEABbwLh2jFaKxc7SGsS/BtJAgwcglSb2t0GuQofLYvMiC3BgwRMXChAAQpQgAL+Cmgdo5OSkvxNwvD9tA7S169fNzwvzAAF9BJg4KCXZJt0ZDZl+REtP6ajaZFAiXcdoqnGWVYKUIAC+guE44zRbRW0DtJnz55t+xHfUyBsBRg4BKHq5OqCzKYs8xtE26LddXj//fejregsLwUoQAEK6CQgdxzCbcbotkXXOkifOHGi7Ud8T4GwFWDgEISq27lzp5rquHHjgpC6+ZOUgGnVqlXg7Vnz1xVzSAEKUMCMAnv27IH0EQj3ZfTo0Th16lS4F4P5p0CLAAOHFgp9XtjtdvVuw7x58yBXG6Jx0QImLYBya2C3oaJwLkbExCAmLgsrymywu93QcWU9qv68AllxMYiR/UbMRWGFL/s5psHXFKAABShgSoHmduEfY2LUSUXL7Xd6bxcaqvDn5VmIkzYhJg4j5m5Ehe2maYonIw5ytEHTVAczooMAAwcdEB2TuHbtmvpW+/Hs+Fm0vJaASQIneVxLAinX5Qoq8mdgduVobGpU0FjxLC7MnYH8iiuum7asuYlzOzbiT/gfWF2nQGmsw6EnzmP+kJ952a8lAb6gAAUoQAHTCrS2C7+sONKUy9XL2/9+t5/Bjrf3Ak+sRJ2ioLFuK544vwxDMlajosFd2xP6wt9///04fPgwRxsMPT2PGCQBBg46w9psNrVvQ7TebdA4tcBJC6S09fLXXlWEBfkD8Mq8UbBaAIt1FOa9MgD5C4pQ5em73n4Of7v9Cbz0g0TESiIWK1Jemo9fp3+E/C0fod7xAHxNAQpQgAJhJeDYLtTXnMb06dO8tgv2T2tx+9NT8YPErmpZLdbheOkX2Ujf/y62lF0yRfnj4+PVfJw8edIU+WEmKBCoAAOHQAUd9j9w4AAuX76MjIwMh7XR+VICJ+nrIIGU83ID1aW7UDyoH+JjtdPPgq5DRmPy8V0orb7hvLn2znIP0tJ6Q9tDXW3pgYTBcdoW/EsBClCAAmEp4NwuHDx4EI8++o9e2wXLvcORdldnpxJbeiVgsNVpleFvZLTBTz75xPB8MAMU0EPA6XeYHglGcxp5eXm4++670b1792hmaCm7BFASSElA1bLYa1C6uRTWwQno5XL2lWJzaY33Z1pbEpMXd2DcsHub7kI4recbClCAAhQIC4E27YK0pffee29z1v1oF259BMOSmu5CmKH8Mvv1Bx98YIasMA8UCFjA5adbwClGaQLy43jHjh244447olTAtdgSQEkgJY1Ay9JQh8rjwKCkuMB/7Ncfw+6jYzEjvc2diJaD8QUFKEABCphewKFdqKuqUrM7YMAAP7JtR335fhx9PhPpbe5E+JGYbrv07dsXMgs2RxrUjZQJGSgQoyiK4u/xhw0b5u+uEbff3/72N3Tt2hV33nlnxJUtkAJ98803+OijjyAdxGJjY4HGepw99gmuxQ9AUs8urUl7Wt+6RZtXjfi7rRb1XeNh/U6nls/KyspaXrt7Ee7jgrsrE9dFpsChQ4fCsmBsF8Ky2ozNtMP3f6/OX+OLL77Afffd57m98JTbxr/DdqYBXe++E1qzYIY2QQYJKS8vh8wkfeutt3rKPddTwKuAKdoFCRz8XVJSUvzdVdf9jM5HaWmpBF/Kl19+qRidFw3WTPlYuXKlMmfOnKasNZ5UCtKtijW3RLmqZVb+Xi1Rcq1WJb3gpNLouN7t60blq/J/UXILjitfuf3c/UqpIzMsZqobejgLsG6cPfx5R0NnNbN4SK7MkheXfDi0C79ctEiRNkNdOtQuXFbK819TCk46tSzOldHmXSjbhOnTpyuFhYVtctD61sWk9aOQvmI+XLlp4mzCR5W8xnfeN5BHcVauXMm+DR6o0tPT1ceVZCZQWBKQ+kyqy5b28zU4akvFM6kJzh2gXbYE7Od24e0TqXhl6sDAH3dykz5XUYACFKBACAUc2oX3t2/HQw89pB7c93ZBhuv+A06My8bU/ubp2+Ao+Oijj7KfgyMIX4etAAOHAKtO69vAkZQ8Q8oEODKqhDzjCXRBv9SxGLRxD8rrtbFX7Wiorcbx9LFI7efw+JKbJO22vfjNli748WQtaLCj4dR7WLf/oputuYoCFKAABcwv0NQu3Lt+Cz46fBhN/Rt8bRduwrZ3Hbbc9iNMbgka6nGqcCP2t7Qxxgs88MAD7OdgfDUwBzoIMHAIEJF3G3wDnD59estdB0viRCzOOYmFS0pgswN2WwmWLDyJnMUTkaidkQ1lWD4iDnHTinBOjS/saKgqwvyMZ5GTMwpxnZpnj47phNsGbAHi1NkdfMsMt6IABShAAVMJSLvwxNij6JH4fXzdrbubdsGOhooVGBEzCNOKzjSPvlePqqLXkDHqn5EzKh6d1NmjpW24HQM2/RfiWob8Nr6oSUlJaiYqKyuNzwxzQIEABLSfaQEkEb278m6D73XvfNehG5Jz1mBpz3eQ3CkGnTL2IGn5GuQkd/OYoP3cdryUNgnL9redFwKAD3cqPCbMDyhAAQpQwAQC3XDhe8mYMvAbH9uFmzhXtABpk97AfpfcW5H+zPfRz0S/cGRuI7mAduzYMZfccgUFwkngW+GUWbPllXcbOlYj8qUpV13ksa7BgwcjJbsQddmF7hOJTcHsfXWYrX1610QU1Cko0N7zLwUoQAEKRIyADFWat3wNjhw5grxtg92Uy4LY5GzsU7JbPrtr4irUKata3pv9xbhx47BhwwZ1clSz55X5o4AnARPF456yaM71xcXF6rwN7Nvge/3IXQfpRP7aa6/5vhO3pAAFKECBiBfQHuHRHumJxALLcOAy39OlS5cisXgsU5QIMHDwo6LlysjLL7+Mbdu2cSSlDvpJoCVfnE6zSXcwDW5OAQpQgAKRJVBaWqoOoiGP9ETqEh8fj6FDh6pzOkRqGVmuyBdg4OBHHW/dulXdS247cumYgMwmLXcdsrOzOYtmx+i4NQUoQIGIFZBHeEaPHh2x5dMKlpmZCe03hLaOfykQTgIMHDpYW3KLMSsrC7/+9a8RyVdGOsjSoc2nTZumbr9z584O7ceNKUABClAg8gSOHj2Kw4cPY8iQIZFXuDYlSk1NVYdl5eNKbWD4NmwEGDh0sKqWLFmijowgk5px8U9AAq558+Zh0qRJfNbTP0LuRQEKUCBiBOQxJRk8Q+5IR/oiA4PI40onT56M9KKyfBEqwMChAxUrz+XLSEoymRmXwAQmTpyoNhQSiHGhAAUoQIHoFZDHlJ566qmoAZDHldavXx815WVBI0uAgYOP9SkdouW5/MLCQsjoQFwCF5AATAIxuU3NhQIUoAAFok8gmh5T0mqXjytpEvwbjgIMHHystRUrViAuLi6qror4SOP3ZhKASSD23HPPsaO034rckQIUoED4CmijKUXDY0paLWmPK+3f7zp1nbYN/1LArAIMHHyoGZmz4Re/+AWWLVvGDtE+eHVkE7k9LQHZq6++2pHduC0FKEABCoS5gNzJnzVrFsaPHx/mJel49mfOnKlOBtfxPbkHBYwVYODgxb+2tlads4GPKHmB8vNj6SgtAZk8siQBGhcKUIACFIgOgQ8++EDtKPzwww9HR4EdSvn444+rcxrxUV0HFL4MCwEGDu1Uk1wNef311/Hggw9yivh2nAL9SB5Zksn0xowZAwnUuFCAAhSgQOQLrFmzBnLlPRqHNpdHs6Sf36ZNmyK/olnCiBJg4NBOdUq/ho8//hhvvvlmO1vxIz0EZJQl+RKVvxKwcaEABShAgcgVkFEKd+zYAbnyHq2LDEErd9s5p0O0ngHhWW4GDh7qbdWqVWq/hqKioqi8GuKBJairtbs7L774IoOHoEozcQpQgALGCsgP5pUrV0bF3A2epOVuu/Tv4F0HT0Jcb0YBBg5uakWetZcOWzLaQ3x8vJstuCoYAt++chz3/0OVOqtmjwdHo8x204fD3IStYiPmjohDTMwgZK04AJvdh924CQUoQAEKGCLQ0NCg3m3IyMjweny7rQyFc8cgJiYGcVmrI65dkDvt8nvjm2++8WrBDShgBgEGDm1qQW6fyrP2EjQMHz68zad8GzSBhjLkZ/wKF57chDNnTyPRcgbPPvYTVDS0FwXY0VCxGhmzT2PMphoojbuQdeENZOSXoSFoGWXCFKAABSgQiIDNZvPtbkNzu1A5Zh0ala9RkXURczNWR1S7IL8z5JGlL774IhBS7kuBkAkwcHCglqBBJmZh0OCAEpKXN1C1ZTnyU3Iwb+Rd6BN/D/64599haSjGk089h7976vNgr8KWBe8h5ZUXMNLaGbDchZHzcpCSvxxbqm6EJOc8CAUoQAEK+C4gd/QvX74M73cbnNsFCzrDOvIFvJLyHhZsqYLHS0ph2C7IXQcZGKSqqsp3SG5JAYMEGDg0w0ufBgYNBp2F9hqUbv4Ig5LiENuchfj4gfi3FVNw7sO9+KdZ7vs82Kv/E5uL70JSvLYXgK4PYMzkc9hcWuO5YTGomDwsBShAgWgWkE7AL7/8Mu677z7vfRvctAtAdwwZ8xiOb/5PVHuIHMKxXZC+DvJYdG5uLvv3RfM/kDApe9QHDjKCz+LFi1v6NPDxpNCfuU1f9N0wOKEHHE/Iu3rehu5X78f5+kY89thjbYZqvYHq0l0otvZDQq/ObTL9NYrbaVjabMy3FKAABSgQAoElS5aoE37efvvtXo/mqV1QdyzehdJqd3eVw7dd+N73voe6ujps3brVqw03oICRAo6/04zMhyHHlluDP/nJT7B9+3acPXuWfRoMqQU7GmqrcRx9ne8cNOfFgluR8cr/h7S0NPTu3dthkrgG1FaeBgb1Q3xsVJ/GhtQaD0oBClCgIwLyiJKMpCR39y0Wb9/Z7bcLno8bvu3Ct771LcgQ8FlZWXxkyXMF8xMTCHj712uCLAYnCzLMqvwQlVuEf/nLXzh6UnCYdUm187ebZpfWJomT27mXLl3WJW0mQgEKUIACwRWQi3Qy6Ih8h3OkQs/W8sSDDFH77LPPcm4Hz0z8xGCBqAscpPPRz372M0yaNEn9Elu2bBnnaTD0JLQgNr4fBuE0KmvbHwtJJoeTO0NSh2PH/gR/begMHK9GbbsjLxlaOB6cAhSgQFQLSNAg393yg1j++rb43i44pxeL+KS+Yd0uTJs2DQ8++CDmzp3L/g7Olct3JhGImsBBOmXJLdKkpCR897vfVX+A+v4lZpLaitBsWPp9H8+kf7tN6W7ifE01bOljkdqvS8tncrVKHi2bN28BZq35EN+7vA0nDh5o+Rz2i6g5egXpz3wf/aLm7G4tPl9RgAIUMIuAFjTID2H5QdyRpSPtQmu6XdAvdSzSW1c0vQqjduGWW27Bm2++qeabk6G2rUi+N4NAxP+00gKGO+64A3v27FGHWpW7DLxdaobTrzkPlgSkPnMXNu4+hvqWbMmzquc8BgAS9H154SBGJ3yDl8b8IyZMmAAZThcNdag8/jCeSU1w6mjdkixfUCACBORRy5SUFBw9ejQCSsMiRKKAY9AgP4TlB3GHFj/aBUlfDTgG/QW7yy+1Hi7M2gWxevXVV3HhwgVI8CC/Y7hQwJuAPMYtT9TIv71gLhEbOAic3GFwDBjkSjVHTQrm6eRv2l2Q+PRs5JTlY8nec7DjJmx7V2Nh2ZNY/HRicwAgk72twIiYQZhWdEYdarV7j6H47TszMXz4XPRJSVOH000dmoE//88f4Ineir+Z4X4UML2ABA0yYMBDDz2kDuHIHxamr7KoyqB0hJY+hHJBx6+gQdXypV24gorljyMmbiaKzt1sMrYk4unFT6Js4Wrstd0E7Oewd0k+ynJm4+nE1rvXZq8Qubj5+9//Xs3m2LFjeZHA7BVmgvzJ3CgSbMq/vQ0bNgTtUbeIChzk2XfBkohL4D7++GP1DgMDBhOc0d6yEJuCnE3z0bNwLDrFJCBjd18s3/QCktsdMcmC2OQXsDW/N66uygYwArekTIZy+G388LHH1MBR7kLwR5U3fH4ebgLyo0LunO7evRv79++H/LCQH2tcKGCkgLTBctVT6wi9YMGCjt9pcCxAAO3CpqU9UJj8bcR0mordSb/EppyUlnmCHA9h5tfaY0uZmZnqRQIZOp7tmZlrzNi8DR48WA02CwsL1dG5ZNRQ+Tep9/ItvRMMdnryj+bixYu4du0aTp8+rY57/OmnnyImJkY99Pjx49UOWHKbj48jBbs29E3fYh2O7MLjyC50l64ECdnYp0iA4Lh0hjXlBRTWvQBtN5mb46OPPlJHy5JJ/WSR80IWecTjzjvvRM+ePXHrrbfyHFFV+L9wFUhPT8eQIUPw1ltvqT/Wpk+frj7iwO++cK3R8Mu3/DA5ePCg+t26Y8cOyCzIMoiFXudg++1CNyTPfh/K7LZuru1C2y3C5b0EDzNnzlTvqL/22mv4xS9+Afl3/tRTT+H+++/XzTlcPJjP9gXkfJFA85FHHlGHP5Z+vYsWLUJ2dnZgQbzDYXUJHOSxIPkh788it1U+//xzl11PnTqFK1euqOtlevq1a9e6bCNfUN26dVP/k6ttAiRoXKJbQM4BeSRN/pMrXtKw1dTUQBo1aeDkCu3hw4edkOSLWDrNa4v8o2u7aAFH2/W+vO/Ro4f3mVJ9SYjbUKCNQPfu3dXz/Ic//CGee+459W6rDHs5btw4fh+2seLbjgvIhRgJBGTR2mtpn+WCndYuaxfs5PFgvQKGjuc0sveQq8ny9IS0Z/J7Z82aNWqbJqWW30J9+vRRJ9fr27evelFM1stw81yiU0Dq/u2331bbARlFVM4dmSdEj8f1YxRF8fthcO0qf3RWC0tNAQpQwLwCcpVJAudQLnIRSR4T5UIBClCAAuYTkMdb5U51IEvAdxwqKyvV4xsZ2UoAE0D8E4ify75myQvz4VI16uNsRp0njnfl5M6Y9u/GNZehW8N8uFqbyUTu4nb0DqpciXz55ZfVgj322GOuBQzyGnn8Txa542H0os3Vw3y0CrRn0t4dVb3bd7ZPrXWivdLbxPFOkXYM7a/cgW9ocD9vUnvniLZ/KP6aJR9SVrPkRfLR0d8wch5s3bpV7fMgdwbl8bZAl4DvOHS0EIFm2N3+ev+Dc3cMX9eZJS/Mh2uN0cTZhB7OHvIuXE0kMJXRa/Ly8tTnWZ9//nnDHo0LV0PXs0GfNWbxCOfzW5+acE2FdWNeE9ZN4HUjw3VLvxh5TFs6TEu/mI5ejHLNBTjUvTsUrqMABSgQLgLS4V8eD5K+O0eOHFEfT5J+D1woQAEKUCD6BOQug4zAJcN1y0Aw0kdJOkzrETSIZsCPKkVflbDEFKAABYwXkE6SMvSl3leTjC8Zc0ABClCAAv4IOD6uKo+MymS5ei8RNY+DgPvqIgAADi1JREFU3jhMjwIUoIAZBWR+EumPIYv0l9HzapIZy8s8UYACFKBA+wIyqpnMoSKTg+7atSsoQYPkgHcc2q8HfkoBClDAdALf+c531A7IwbiaZLrCMkMUoAAFKOBVIC4uTp30WI8hV9s7GDtHt6fjx2dm6dDDfLhWHk2cTejh7CHvaOJq0tE1NHQWM4sHz2/nejGTh5nyYpbz1Sz5YN24+XcTyDwOrslxDQUoQAEKUIACFKAABSgQiQLs4xCJtcoyUYACFKAABShAAQpQQGcBBg46gzI5ClCAAhSgAAUoQAEKRKIAA4dIrFWWiQIUoAAFKEABClCAAjoL6Bg4XMTeuUPUzoXSqSUmJg5j1p2CXecMdyQ5+7kiTIt7GuuqbnRkN322tdtQtiILcarFGMwtOgX3E7zrcziPqTRU4c/LtXzEYcTcjaiw3fS4eXA/qEfV3h14b3kW+s3di/rgHqwpdbsNFYVzMULqIS4LK8psBp2TdjRU7UfRe8uR1W8B9tYb9C/DROeD3XYAK7IGNX1njFiAoqqQnBHtn3X2MyiaNsTA7y7zfY+2D+bl0/q9mBsn7YH2n0Hfxy3ZvIlzRTMRN2Ydqgz4J2iOc16+i3ZjufZvL2YM5haWwWaAh1otDVXYW7QJy7PGYO7eiy01FdQXbBeceU3TLtyErWw1stTvDPm9UoSqBqNOzFYiQ39LSjZM9j2qW+BgP/cfeHdjRas0UvFMaoJxU1Pbz2D7L1/FOptDlkL28gqObD8A/Pht1Clfo+7QEzg/81ksDNWXolZO+xnseHsv8MRK1CkKGuu24onzyzAkYzUqQv6P8Qaq1mXj9cL1eHHOBlzT8hjUv1dQkT8DsytHY1OjgsaKZ3Fh7gzkV1wJ6lHdJW6vWo8fv/47bHtxDjaEpvCu2TDT+dDwMbYXd8KPf3ccSmMdDj1xDjPTlhgXUKlaN3Fuex5mrqtztQvRGtN9jwZU7ps4t6cIGx2/g9PHIrVfl4BSDWRn+7n38cuZq+GYpUDS69C+Jjnn7ed24e0/AU+s/hiK1j7Nn4CM/LLQX9yyn8K6H7+Mwm1vYM6GLzvE6f/GbBec7EzTLtjRcGQnijERv6vTfq+8irSF+0NzkdEJxeGNob8lJR/m+x6FjKoU+HJZKc/LVHJLLgSelC4pSH5eUHJyMxQrnlIKKq/rkqqviTRWlyr7ar922PyCUpKbrFhzS5SrDmuD/dI1H4rSWFmgpCPZuLpqPKkUpFtDYqGW1TpfKbna2EzdqFwtma9Y0wuUSm1VsCvBKf3rSmXBUwqc8uS0QVDfmOd8uK5U7/tQqXWsg6slSq7VwPNSaVS+Kv+NkpmTo2RarUp6wUnFMXtBrZiWxM32PdqSMf9efHVIyUt/xeHfn3/J6LaX5CfzJSU3c6CCkH8HmOWcd5MPxdjvJanfULZLbBec/0WZpl1oPK3s2/eZw/duc3ttUHvZpGTsb0k1D2b7HlUURZ87DvUfYUv+BixbmId1RfsNvrVkR0PFBryJZ5Ez5m6HsDF0Ly33DkfaXZ1bD2i/iJqjvZHz9MPo2ro26K9c8gHA0isBg61BP7QJDnAD1aW7UDyoH+JjtdPcgq5DRmPy8V0orTbg8TWDVcxzPnTBvWmP4C6tWgDYz9fgaNJP8XRKd2OUGsrx1pvAizlj0cuYHACm+h4NFMGO+rLtyC9ei4WLClC0tyr0V7OdinAFFW9tAl6cgTG9vu30SWjemOWcd80H0Bm9EvohKpoFsF1oe76bpl2w3IO0tN4OT6ncxPmaM0jKmYCUrg6NRdsCBO298b8lAbN9jzZh61AbN1D13ltYJvd+9y/DtEkjkPSjl417Xln7AfD8ENwWtBPK14TlWdK9WDf//0f13FXISe7m647B3e7WRzAsKZQhTHCL4zZ1ew1KN5fCOjgBvVzO8lJsLq0xqK+D29wau9LQ80H6vazD/EU2zN30ApJbgrxQkmg/KjORfFunUB7Y4Vgm+x51yJlfL+1VeG/pethgw/5lz2HSqDT8yLDnlbUfABl4PtmgwNQJ0QznvFOG1De3jhuCJEP+/bnmJWhr2C74TmtkuyD9Xtb9Couqp2BTTgpifc+1flua4bekqb5HW2ldflK1fuTrqy5InLql6VnJ8j+iIDcd2P8GJv28wIDn6B1+ABj+BSidHFNwW9IoTFv2f/Dh7kOoDnm/grZ1aEd9+X4cfT4T6Y53RNpuFgnvG+pQeRwYlBRnzJdOWBgafD6oHb5uR9KoaVi24T+w+8PTBlyVdvxRaWRgb6bvUR1OXkt/TN1dp/ZfKd/+r8hNk+tKM/Hzt8pDX8cOPwAM+QHiyGmKc94xQ/L6Esp3n8PzM0Y63QVsu1VEvGe74EM1Gtku2FG/dwHibkvCqGlvYMOH+/BhtRGDZpjkt6SZvkcdzhwdAgcttc6wJj+OqUv/iLqS15C2/11sKbukfRiCv/ID4A/Y1jfbJFf2e2Dk0vKmhnP9ZGDZJKS9tB3njBwgoKEc/1rYA4ufH8If0yE4I01/CKPPh64jsVTtBHcI63Pln8hTeKnoTGjvBDWU4+1td2OxUVe1XE4So79HXTIU2AqLFcnjf4alJYdRMn8Q9udvR1lIRxS7goq396Lv4ucNupvVhs8M57xTlqTd3ITCni/gebPcEXfKH9+EXMDQdsGCriMXNw0qU74BuViPSWkLUHQulCNBmu23pDxjbvT3qPNZ6CFwOIuirH4OQ+hpQ+k5/+23vALfOKcHeV7SOvIFvJILbNx9LMDe8N/AVvS813zE9FuOiivyA8CKFybc7fCMnEvm/F9hK0JWy5CCzg6tQw2OwPKKNoOuSoVnvY7fFjwF285yVAZ818HfupEGdCe6z5+iUwPagbpxPUn8rwdf94yNQ9Ig4HhlXeivcPqaR0O30/t88L8wFmsKst74DQrSv8TOQ5+EsL6aflTe/cI4E15p1fN71P+6cdrT3+9AScRyF0bOm4tcFGN3eaAXlHz9DjyMK3Ix6e6fYEJQ7rD6/x2o+znvb91I4Lzlu5iv28UkX+vG3W8Hp7MtOG/YLnhxNUu7IBdQJuON3/4a6baDOFQZwrsO6sWkIP6W9FID7X6s6/dou0dq/0Pn/vV6vZNRGjJCODJJc+97QIGn/0I+ioazpetIDs6fB/fd10rt9n9R1p8M5ZhOHkoUslGVmkYKaTuSVdPoHaEfaatJw/jRS5ryYaLzoeU0cV9fLR8H44U6klM73xkGjMjmXMxQf486H133d+q//YwQjnLXNJqdxzYBRo2epckacM5rh5a/jTXK9vw/KCe/Cv34YY7ZULMSstH+3JuzXZBaMGG7oH5nfD+Eo0Ca/7ekEvLv0bb/WvUaVcklNmlAbfUgzH0yMThX/12Op93eUmR42eb/GnG1ZD6seAoFldeh7J6KRA/3V1yS032FHQ211fjEkM5nN2Hbuw5bbvsRJvfXOkTX41ThRuwP6SMDuqN6SbAL+qWOxaCNe1DeUs6mejhu8FjyXjIe5I/Nej40oLbyKsYNuzd0j9E1PzbS+p2hQLlaglyrFekFJ9GobMHUROPmHABC/T0a5FOvoQ7VydPwZMhMmx8XbWkTpG24gJLcZCC9AJWNddg9tX+I2ih3tgac81o27Oew9zc7cduP/yf6a/0BG06gcN2BAJ8S0A5g1r9sF9zXjEnbBemT8slDIRzMxey/JQGE/HvU9YwJ/Ke0zMC4499bZyNWZ0zOx/7Rk5FmyBBaroUM7ZrmmUlHzEVhRdMsxXZbCZYsvYQFc0aH+JGIelQVvYaMUf+MnFHx6NTyqNXtGLDpvxCnNRihBQrZ0SyJE7E45yQWLilRZ0VV62HhSeQsnmhgEBmy4rs5kEnOh+bZmVtnMZdGazWWns/AnHTH4fjcFCFSV0XY96jdVoEdOypaZiNWZ0xe9BFGz0oN6ZDUpjldzHTON5xC0fypGJXzzxgV9+3WR4FvS8cm3BG6wN2gymG70BbeHO1C0+zMDrOYS3C75C2cX/B85A/m0rZKmt+b9nvU9SZEB9c01iol89ObHxEaqGTm/UEpqTTBIzGKdssp1I+lNCpfnVyvZFq1RyDEZJtSXuc4IVwHjf3a/GuldtsLitXto1tG3KLX6kNzkb8hqJvGOuVQfmaTQ1qusr68zmGCGb9g/dvJ5bGYUNeBmc6Hq8rJgqmt56Y1U8nbVq7UGf/EhKKo9RTqupHHRsz6Perf6d5YV6zMT7M2tQtSv1v3KZUmeCRGUZofXwr5o6smOecba5RtUwd6eKQ3BN/HLqeTm8fJQlE3bBeaa8JE7cJXx5UCmZyx+TeLNTNP2WZUe+10nmq/XUL/78Os36Mx4uMh2OFqClCAAhSgAAUoQAEKUIACqkDgjyoRkgIUoAAFKEABClCAAhSIeAEGDhFfxSwgBShAAQpQgAIUoAAFAhdg4BC4IVOgAAUoQAEKUIACFKBAxAswcIj4KmYBKUABClCAAhSgAAUoELgAA4fADZkCBShAAQpQgAIUoAAFIl6AgUPEVzELSAEKUIACFKAABShAgcAFGDgEbsgUKEABClCAAhSgAAUoEPECDBwivopZQApQgAIUoAAFKEABCgQuwMAhcEOmQAEKUIACFKAABShAgYgXYOAQ8VXMAlKAAhSgAAUoQAEKUCBwAQYOgRsyBQpQgAIUoAAFKEABCkS8AAOHiK9iFpACFKAABShAAQpQgAKBCzBwCNyQKVCAAhSgAAUoQAEKUCDiBRg4RHwVs4AUoAAFKEABClCAAhQIXICBQ+CGTIECFKAABShAAQpQgAIRL8DAIeKrmAWkAAUoQAEKUIACFKBA4AIMHAI3ZAoUoAAFKEABClCAAhSIeIH/BxDgokjifGcwAAAAAElFTkSuQmCC"></p>
</div>

<div class="specification">
<p>At an airport, the weights of suitcases (in kg) were measured. The weights are normally distributed with a mean of 20 kg and standard deviation of 3.5 kg.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the following table, write down the letter of the corresponding graph next to the given mean and standard deviation.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a suitcase weighs less than 15 kg.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Any suitcase that weighs more than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> kg is identified as excess baggage.<br>19.6 % of the suitcases at this airport are identified as excess baggage.</p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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">  <em><strong>(A1)(A1)</strong></em><em><strong>  (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct entry.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT0AAACxCAYAAAC2nmqKAAAakUlEQVR4Ae2dT6hXxfvHpx8JCrZwYaCQCxdeUMhAQcOkBAWNFA2uYKKCwhVUNFBQUNDI4AYJGiYoqOiiQKHEIgUFDW+kkJALBV24UEjQhQsXCgV+ec2v5zr3+Pncz7/zf94D986c+XfOvOec92dmnmeeeePly5cvnZwQEAJCIBIE/i+SdqqZQkAICAGPgEhPL4IQEAJRISDSi6q71VghIAREenoHhIAQiAoBkV5U3a3GCgEhINLTOyAEhEBUCIj0oupuNVYICAGRnt4BISAEokJApBdVd6uxQkAIiPT0DuSOwIoVK9w///yT+311QyEAAiI9vQdCQAhEhYBIL6ruLr6xu3btcufOnXMbNmwo/mH0BFEiINKLstuLafTt27fd9evX3bx589zTp0/d0NBQMQ+iu0aNgEgv6u7Pt/EbN250R48e9Tc9fvy427FjR74PoLsJAa3p6R3IC4Fjx465jz76yPX19flbvv32227NmjVu3759eT2C7iMEPAJvCgchkAcCFy5ccD/99NOIW23evNktXbp0RJwuhEDWCLwhI6JZQ6z6kwjMnTvXr+0l43UtBPJAQGt6eaCse4xA4M03NcEYAYguckVApJcr3LqZEBACRSMg0iu6ByK8/7///hthq9XksiAg0itLT0T0HJreRtTZJWyqSK+EnaJHEgJCIDsERHrZYauamyCg6W0TYBSdCwIivVxg1k1CBDS9DdFQOG8ERHp5I677CQEhUCgCIr1C4Y/z5prextnvZWm1tETL0hM1fY5nz555iyr37t1zf//9t+P6yZMnjr24THOnTJnipk2b5t566y03YcKEmqKgZpUJAZFemXqj4s/y+PFjbyvv7t277saNG44R3fTp0x3GBcaPH+9JDXKD7PgjHVNTly9f9sR469Ytj8CcOXPc1KlT3apVq3zZisOixy8ZAtp7W7IOqdLjYPL9999/96T1ww8/uIULF7p33nnHrV271o/gmrXlgw8+GNWWHrb2Tpw44e7fv+8uXrzo+vv73YcffujrHzNmTLNqFS8E2kJApNcWTMoUIoAxUEjpt99+c4sXL3aceTFr1qwwy6jhVqSXLMzI8ezZs34UyX0GBgY6ul+yPl3HjYBIL+7+76j133//vV+LY+q5fv16B3l143qxssIU+MiRIw5/06ZNfgqs0V83vRBvGUlv4+37tlv+3XffuRkzZriHDx96m3iM8rolPG7ai57ezJkzvfXlS5cu+XXA2bNnuwMHDrTdFmUUAiI9vQNNEWBkB6m8ePHCMaXduXNnaSSsCES2bdvmR3yEIWUkwnJCoBUCIr1WCEWYfvXqVceIipHdtWvX3Pbt21NFIW09Pdb4IOXnz5978kMaLCcEmiGgNb1myEQYj8rJ559/7lt+8ODBzNRFOhVkdNIVEB9tQPJ76tQpN3ny5E6KK28ECGikF0Ent9NE1umWLVvmJaNMa9Gtq6IbN26cX/P75ptv3MqVK92hQ4eq2Aw9c4YIiPQyBLcKVT948MAtWbLEsWMCRWFOLMvapT29bfS8TM85V5f1SEaWqL3ICQEQ0PQ24vfg559/dl9//bUfDXWiZ9crZFlObxs9G4S3ZcsWf+QkitNycSOgkV6E/c+6F3p2HMl45cqV2iv6ctYuKi537tzxR06y/1cuXgREepH1PVLOBQsW+F0UrOMVodibx/S2UbcODg56NReUo2/evNkoi+IiQECkF0EnWxOZzm7YsMFLNYs8ZLsX5WRrS7c++4M5eBwdPwQ2cvEhoDW9SPp8z549fnRz/vz5QkZ3Icx5r+mF9w7DrO+ZtDeMV7jeCGikV+/+9Qq7GAQYO3asH+EUMZ1NQlzU9Db5HKdPn3aYsYKEtc6XRKe+17KnV9++9XtTmcbu27fPm2UqS1OLnN4mMUCggwEF1jl//PHHUU1iJcvqupoIaKRXzX5r+dQILNC/QzmXdSy55gigm8juDZSZJeBojlNdUkR6denJoB3snV23bp07c+ZMKdVRyjK9DSDze3ZRa9m4caM3ihqmKVwvBDS9rVd/+g92//797tdffy3tVrIyTW/D7sdayx9//OEWLVrklwaw2CxXPwREejXqU5SNMbCJSgZSSbnOEUDQw0iZtVAMMGzevLnzSlSi1Ahoelvq7mn/4TCnjrIxU7SyE14Zp7dJpNFp5PwPtunJ1QsBkV4N+hPVCwiPD7UKrqzT2yR2KC8jEBLxJZGp9rVIr9r958mOE8OY0sqljwA/KJzXm7Yh1fSfVDW2i4BIr12kSpiPsytYx6vadqoqTG/D7kbtBxNVu3btCqMVrigCIr2KdhzTWQ7UrsqUNoS5KtPb8Jn5geGcX7bzyVUbAZFeBfuPKRcjPHy5/BDg1DWmujp9LT/Ms7iTSC8LVDOsE7JDUlvFEZ7BUrXprT03PiNsztxl5CdXTQREehXqN4gOPbwqEx5wV3F6G74mjLARHlVtLTVsQ8xhKSdXpPdRmGVahR6eXPEI8MPDzo0JEyb4Pc7FP5GeoF0ERHrtIlVgPjbBs4AO4ZXBNFSvUFR5ehu2nf7ALBXK4HkcqBTeW+HuEdD0tnvscimJcixboTB7VPadFu0CUvXpbdhOiA9VFk6Sk6sGAiK9EvcTez8x7378+PHSGg8oMXy5PBo/RFijtgPGc7mpbtITAiK9nuDLrjA6YZ9++qmXEs6YMSO7GxVQc12mtwYdB6Mj1MAe39OnTy1afkkREOmVsGMgPBbJMRGV53m0eUFRp+mtYYb15cOHD3vrLPSfXHkREOmVsG9Wr17tz6XV4ngJO2eUR+JoSUzz84MlV14ERHol6xtGd9OmTXOc1FVXV7fpbdhPmOan77DALFdOBER6JeoXdL/u3bvnp7UleqzUH6WO09sQJA4b4vS5Y8eOhdEKlwQB6emVpCOGhoa88jFKyHLVRwDLLBzMNGnSJL/OV/0W1acFIr0S9OX9+/fdjh07otltUefpbfg6ocoyf/58N3HiRMd6n1w5END0tuB+4JDpzz77zB9ByME0Mbi6T2+tD9k9g1L5li1bvHUWi5dfLAIivQLxR7WBKdDg4KDr6+sr8El066wQmDx5slcuR+dSqixZodxZvSK9zvBKNTcSPha9Y1NNiWV6ay/LzJkz3d69e72yucXJLw4BkV5B2CPZw0IHpBebi2V6G/YrI/rFixd7Pb4wXuH8ERDp5Y+5P8QHY6CywFsA+AXeEsMRd+7c8VavC3yM6G8t6W3OrwCSWo4UjNkuXmzT2/AVO3PmjDdHNWXKlFpuMQzbWtawRno59szz58+9pPbo0aO1sIvXLXQxTm9DrJDosp7LeRty+SMg0ssJcyR3WOGQpDYnwEt8G6yyHDx40L8PJX7M2j6aSC+nrsXQJAvZsUlqG8Eb8/TW8MDi8rZt2/zI3+Lk54OASC8HnBFaPHz40FtAzuF2pb9F7NNb66D+/n4vwdfJaoZIPr5IL2OcOd8CKS0L2HJCIIkAhHfu3DmnPddJZLK7Fullh623osuCtY4KHAmyprcj8UCwgTqLBBsjccnqSqSXEbImuGDBGvUEuVcIaHr7CgtC7Lnmh3HZsmUjE3SVCQIivUxgdf6gGNZsWLCWEwKtEGCr2u7du92KFStaZVV6jwiI9HoEsFFxBBdMVQYGBholRx+n6W3jVwDCw/CEjI82xietWO3ISAvJ/+pBcMGOi2vXrqVcc32q0/S2eV+ix4laE0cGSL2pOU69pGik1wt6ibIc/8f5CCxMY0tNTgh0gwDHBqDXKcFGN+i1LiPSa41R2znYccEWM2yoyTVHQNPb5tiQgmCD9wgbfHLpIyDSSwlTfpk/+eQTCS7awFPT29YgmWADq9py6SIg0ksBTwQXWE9hW5GcEEgLgaVLl/rzNU6fPp1WlarHOSdBRo+vwa1bt7zg4sqVKz3WFE9xTW/b72tOVTPBhg4Xah+30XJqpDcaOi3SMBXFjotTp065cePGtcitZENA01tDoj2fLYwcLoSgTK53BER6PWDIQvP+/ft1qE8PGKpoawQwRYVgQ4rLrbFqJ4dIrx2UGuRBF2/OnDlu4cKFDVIVNRoCmt6Ohk7jtFmzZvnzVNijK9cbAiK9LvC7fPmy42/fvn1dlFYRTW+7ewfQAeWcZPT45LpHQIKMDrFDSrtnz56oz7joEDJlTxEBJLkINDBigVqLXOcIaKTXAWZYTkFvivUVFEjlukNA09vucLNS58+fdxs2bHAI0uQ6R0Ck1wFm69atc9u3b9cvbAeYNcqq6W0jVNqPszM2ZIqqfczCnCK9EI1Rwli4ZUqBuSg5IVA0ApgsW758udaVu+gIkV4boGHKG5PeWMCQ6x0BTW97x5Aa7PDwCxcupFNhJLVIkNGio7F0wfayoaGhFjmV3C4Cmt62i1TrfCguI9iYOnWq9EVbw+VzaKTXAigspyAxk+CiBVBKLgwBTM2z3oygTa41AiK9UTCC8CS4GAWgLpM0ve0SuCbFGOWx9CLBRhOAEtEivQQgdsmv5zvvvKOtPwZIir6mtymC+V9VGCVgdxA7heRGR0Ck1wAfBBdHjhzx59U2SFaUECglAsxKrl+/7iTYGL17JMhI4IPggh0X2uqTACbFS01vUwQzURW2HVFnQb1qxowZiVRdgoBGesF7wEIwC8Lo5E2YMCFIUTBNBDS9TRPN1+tiaQaTZ9qx8To2xIj0Alzmz5/vtm7dqh0XASYKVg8BRnmYPFuyZEn1Hj6HJxbp/QcyozvUUjDRLZctApreZosvtSPYwCqLjjB4HWuRnnN+4ffkyZNO067XX5AsYoRzFqi+Xuf69evdo0ePHNNduVcIRE96d+/e9WeM7t6922kE8urFUKgeCLBjA00EpLpy/49A1KTHmQOYfGcPI6MPjUDy+Sz045IPznYXDp/njA0dHh456SGp5cwBpgATJ070aOhjtM8kW18/Ltnim6zdztjgB15b1SKW3mKEkXMHpk2bNjzC08eY/Fx0XRcEeNeR6GqrWqSkh6SWqS0SrnB0F4br8rKXsR3CuZheYZva4sWL/Rp2MU9QjrtGt6bHgT5IapnW4sLRXRguR/fU8ymEc3H9igoLa3sx7ziKahvarVu3vNWUZqeYaQRS3MeoO+eHAKbS2KrGriP82Fw0Iz1+3TjUh03ZuEajjUZxsb0QebRXPy55oDz6PTBKgNYCKluxuShIjz2ISK4GBgZG7KlNfnzJ69hehrzaqx+XvJBufh92H6HDx15z1rdjcrUnPUT07EFkAZc9ibhmH12z+JheCLU1HgT6+vq8cQ1Ut2JSZak96WFtgkOREdkbqdmIzq7tNbd4u5afDQLCORtcu6mV74IlH2ZCsbhak96hQ4fcixcvvEVZ61A+uCTZkdYs3srJTw+BRvinV7tq6hQBjGwwE4rFOEFtSQ8J1dmzZ92qVatG6OLxwUFwydGGxXf6wii/EKgDAgg1+CYYKNTd1ZL0kExxVkAjSa2N6Gy0EZKfxdW904tuX4h50c+i+79CAKV99FixvlxnVzs9PaxJ7Nixw2+5SXacER7xFg6JTh9jErFsrkPMs7mDau0WAZSW2ak0duzY2hohrRXp3bx507GnFuVj+7CM3HgJLM7CYZrFdfuyqJwQqAsCly5dclgRR62ljsrLtZneomTJ1jKmtPxK4ZKkZnHmhyRocfhy2SKgEXW2+PZa+5gxY7xh3V27djkGEnVztSA9dlusXr3aS5/CA30akVoyzjq0EUFamvx0EWjWB+neRbX1ggDfEVNdVL7qtmuj8qQH4S1atMitWbPG77Zo9EHZyCJMs3CYZuFeXhaVFQJ1QQDis10bDx48qEuzqn0amlk+ZnvZ1KlTR6zZQWBGYkZw9JrFWQ+GaWHY0uWnj0CyD9K/g2pMCwG+q+PHj/t963UhvsqO9J49e+alTGyhoWNw4ccEgRmJEW9pYVyyjOVJ64VRPY0RsD5onKrYsiHAoeFHjx71uzbqQHyVJL3Hjx97cTpWU6ZPnz78jvAxhcRlYeKTH5pdh2UsbrhCBYSAEPAIQHynTp2qxYivcqTHlPbjjz/251tAeBCbkRu904zEwjxh2MrgJ+N9b+tf6ggI59QhzaVCiA8FZvbpspZeVVcp0mNozT5BtpZxtgUfDyTXzggtJEPrrOTH1049VlZ+9wgI5+6xK7okxjtY44P47t+/X/TjdHX/ypAeAEN4/f39IwjPWh0SWCOCs3z49tEl84V1hPkVFgJC4BUCEB8HiLO8hDXyqrlKkN7t27f9dJZN0QgtbIQXgm1EZsRl15anUZlkXLKMlZWfLgLWR+nWqtryRIDvEHWWtWvXVu4g8dKT3tWrV93KlSv9TotJkyb5fk2SEx+RfUhhmsVRKIznmrQwLqwjz5cnxnuFuMfY/rq0GaO8fJ/sdcdQQVVcqffeohEOoHv37nXjxo0bxjQkrDBMhvDaPi7icHZt4WTeMN0X0D8hIARGRQAF5itXrvgNAgg3GPmV3ZV2pHfixAn3xRdfuMHBQb/xGUIajbwM6JC4wvxh+WRey2e+pcvPBgHhnA2uRdXKXl1GfL/88ktD60ZFPVez+5aS9Njvh00vRnihSxKafTzJ+LBMGG5EfNRh5c0PyyicPgLCOX1My1Aja3x8TyxHldmVivRsl8X48eNHHMZt5GZAGlE1+niII93yWBnzLT28tnDyPhYvXwgIgfYQwKwb++Dnzp3r2ERQRlca0kP0vWDBAr/TAiOGzVxIZiFJhWGIzQgxjCfMn6WF92gWH+ZROB0Ewj5Jp0bVUiYEUC1DiXnZsmWllOyWgvSYyjIk3rRp0/C2MiOmJBm1iqfz7aMKy1rYyttLYnmJt7Clyc8GgWQfZHMX1VokApyyhjFSbPKxPl8mVyjpcdYm0p5jx455gcXEiRNHYGNENSLyvwv7cIyozCfZ0sJyyTjLH8aH4bCswkJACHSOAJaXEXCwsQDDIM+fP++8kgxKFEZ6WGR9//33vbIxIzwIByIyMmrW1jCdsBGV+ZSzPFZnsq6wnOUNyyXz6zpdBELM061ZtZURgf3793sDv6zzDQ0NFf6IhejpcVIZ21g4Z9NGdyERGSohkRFnecy3dLsO84R1hOnEWznLY36zeEuXnw4CwjkdHKtUC+v0jPrMMtKBAwcKe/xcR3psJ+OgEcxPw/4QHoSEa/YhkB7mSRJYWDZMszLJdK4bpSXjuZYTAkIgPQRQZOZ4Vtb7GPVxcmERLreRHguaNJj9s7adLCQpa3wyzsjQ4pPXVg5/tDQrb/nCa6vDytu1/GwQAHu5eBFgtMfID33cyZMnu8OHDzsUnPNymY/0kMxihwvH6K4R4YUfgRFPGEfZZDzXlsd88hFO5rXyYb6wPOm4MP2/KHkZIGD9k0HVqrIiCEB2bDNdvny5e++999zp06dze/LMSI/5O0NYSA+FxTlz5gw3yojJSCb8CMI4C1vBZuXC8ha2vJS1eizN4uy6UbrdU74QEALZIbBkyRL3119/uUePHvnBUR6GC1InPciO08m++uort3XrVm//zs6hNeiMbPAhHCMd0i0tDFu6pVk5qw/f8lic5SHeylkavsWF6ck6wvwKp4eAcE4PyzrUxNR2586d7s8///SjP9b9GQVm5VIjPaSxs2fPdocOHfKWjSE8s4wSEos1xF58yCckoGQ616RbfktPlrFrS7d7WnxYPgxbut3HysvPDoEQ8+zuopqrhgB8AX9AeDdu3HAYK0WHN23XE+khhUVAgV0tLCzA1uvXrx9WQ7GXGz8kGhphaYQtLYwLG0p6mGb5240P62p27/A5kvl1LQSEQH4IIOVl/Z+RH2fi9PX1eXuaaH+k4d54+fLly04qYo/s2bNn/R/WU5HC2AE9ITFZnSExheFkeqM08li8+clydp30k/lHq8vKHjlyxEuY7Vp+NggUqa6QTYtUa9YIoN4C75w7d84vmSEA4T3qxo1KehgFZOcEQ022kuC/++67ftiJrg2uEbkk4zvNk8yfvA7rb5TmH6zJs1l+8y0v/rfffuv3C4ZxCqePAGs2ZdDMT79lqjEPBBB28Mc0mAPCGAnOmzfP8xLaIa3UX9748ssv/Ujv3r177smTJ/4PskNxmMoQQljFSYGEEYf5NDgMhwAk45PXljeMD8Pt1J3M36hMmCcMk1cjPeuFbH2RXrb4xlQ7+3mZfUKCL1688AMzlt2YIqMWg4+pK6TE5t48efKkDx88eNDihv0kKZAQxjGdDa8tbP5wRYk1POLDsmH+cIpsYUu367DeZF2t0qwOq5P8FsaXyx4B4Zw9xrHcAeEH09xOprojBBnhy2hEEIKXjAuvw7ARi5UlzVwYTuYjD+lhHsLt5LM8yfJ2X6vbri0/1xY23/LIzwYB4ZwNrqq1PQRGkF74MoZhqkqST/Ka/MSZC8NhmtU7Wrrlsbqa+cl89kxhvMVRB/HhfYkLr8Nws3sqXggIgWojMLz31j54iIG5MX6SJCyPNTl5TXwYF4YtjbhGdVu61W1+8hksPpmffMk4y5t8DuKtjVbGynONnT8WQ/FxCqeDgwcz8Y40wtvyyRcCzRAY7ZtsVsbi3xgcHPSCjE7t2Rt5WUVp+q3qbpXe6lnaLd8on+JeH/WDdye43Llzx2sBhP3USfnwB6rTe6vs68tFMWAfmrIaVWUlfCkVFgJCQAjUAYERa3p1aJDaIASEgBAYDQGR3mjoKE0ICIHaIRA96XW6llm7N0ANEgKRIRAt6bG9Di1tdmGEjvM7OMWJPxFiiIzCQqAeCAyrrNSjOe23gr3DoWFTSqKiwt+zZ8/ar0g5hYAQqBQC0Y70GvUStrswfooRVPbvyQkBIVA/BER6QZ9yaBEbmPv7+z3xmXJykEVBISAEKo6ASK9BBw4MDPgT2bE8IycEhEC9EBDpNelPM03TJFnRQkAIVBSBaAUZ9Fdy+w1retgRRHJrtrgq2q96bCEgBJogEO02NAylYnwQhy0uRnYILy5evOgWLlw4fFZvE9wULQSEQEURiJb0KtpfemwhIAR6REBrej0CqOJCQAhUCwGRXrX6S08rBIRAjwiI9HoEUMWFgBCoFgIivWr1l55WCAiBHhEQ6fUIoIoLASFQLQT+B4ZHVE5sERgpAAAAAElFTkSuQmCC">  <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for sketch with 15 labelled and left tail shaded <strong>OR</strong> for a correct probability statement, P(<em>X</em> &lt; 15).</p>
<p>0.0766  (0.0765637…, 7.66%)      <em><strong>(A1)   (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="text-align: center;"><img src="data:image/png;base64,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">  <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for a sketch showing correctly shaded region to the right of the mean with 19.6% labelled (accept shading of the complement with 80.4% labelled) <strong>OR</strong> for a correct probability statement, P(<em>X</em> &gt; <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>) = 0.196 or P(<em>X</em> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>) = 0.804.</p>
<p>23.0 (kg)  (22.9959… (kg))      <em><strong>(A1)   (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The following box-and-whisker plot shows the number of text messages sent by students&nbsp;in a school on a particular day.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One student sent<em> k</em> text messages, where <em>k</em> &gt; 11 . Given that <em>k</em> is an outlier, find the least value of <em>k</em>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>recognizing <em>Q</em><sub>1</sub> or <em>Q</em><sub>3</sub> (seen anywhere)     <em><strong>(M1)</strong></em></p>
<p>eg    4,11 , indicated on diagram</p>
<p>IQR = 7     <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognizing the need to find 1.5 IQR     <em><strong>(M1)</strong></em></p>
<p><em>eg </em>  1.5 × IQR, 1.5 × 7</p>
<p>valid approach to find <em>k </em>   <em><strong> (M1)</strong></em></p>
<p><em>eg   </em>10.5 + 11, 1.5 × IQR + <em>Q</em><sub>3</sub></p>
<p>21.5     <em><strong>(A1) </strong></em></p>
<p><em>k</em> = 22     <em><strong>A1 N3</strong></em></p>
<p><strong>Note:</strong> If no working shown, award <em><strong>N2</strong></em> for an answer of 21.5.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The following Venn diagram shows the events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
  <mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span>, where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( A \right) = 0.3">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>A</mi>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.3</mn>
</math></span>. The values shown are probabilities.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q"> <mi>q</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A' \cup B} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∪</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>valid approach       <em><strong> (M1)</strong></em></p>
<p><em>eg</em>      0.30 − 0.1, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span> + 0.1 = 0.3</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span> = 0.2        <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach       <em><strong> (M1)</strong></em></p>
<p><em>eg</em>     1 − (0.3 + 0.4), 1 − 0.4 − 0.1 − <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q"> <mi>q</mi> </math></span> = 0.3        <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach       <em><strong> (M1)</strong></em></p>
<p><em>eg</em>     <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.7 + 0.5 - 0.3"> <mn>0.7</mn> <mo>+</mo> <mn>0.5</mn> <mo>−</mo> <mn>0.3</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p + q + 0.4"> <mi>p</mi> <mo>+</mo> <mi>q</mi> <mo>+</mo> <mn>0.4</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - 0.1"> <mn>1</mn> <mo>−</mo> <mn>0.1</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A' \cup B} \right) = {\text{P}}\left( {A'} \right) + {\text{P}}\left( B \right) - {\text{P}}\left( {A' \cap B} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∪</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> <mo>−</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∩</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> </math></span></p>
<p><img src="data:image/png;base64,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"></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A' \cup B} \right) = 0.9"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∪</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>0.9</mn> </math></span>       <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A survey was carried out to investigate the relationship between a person’s age in years ( <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>) and the number of hours they watch television per week (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
  <mi>h</mi>
</math></span>). The scatter diagram represents the results of the survey.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_18.00.45.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05"></p>
<p>The mean age of the people surveyed was 50.</p>
<p>For these results, the equation of the regression line <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
  <mi>h</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span> is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h = 0.22a + 15">
  <mi>h</mi>
  <mo>=</mo>
  <mn>0.22</mn>
  <mi>a</mi>
  <mo>+</mo>
  <mn>15</mn>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that the people surveyed watch television per week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the regression line on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>By placing a tick (✔) in the correct box, determine which of the following statements is true:</p>
<p><img src="images/Schermafbeelding_2018-02-13_om_07.09.18.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05.c"></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the number of hours Diogo watches television per week.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.22(50) + 15">
  <mn>0.22</mn>
  <mo stretchy="false">(</mo>
  <mn>50</mn>
  <mo stretchy="false">)</mo>
  <mo>+</mo>
  <mn>15</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for correct substitution of 50 into equation of the regression line.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="( = ){\text{ }}26">
  <mo stretchy="false">(</mo>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>26</mn>
</math></span>     <strong><em>(A1)     (C2)</em></strong></p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{655}}{{25}}">
  <mfrac>
    <mrow>
      <mn>655</mn>
    </mrow>
    <mrow>
      <mn>25</mn>
    </mrow>
  </mfrac>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for correctly summing the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
  <mi>h</mi>
</math></span> values of the points, and dividing by 25.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="( = ){\text{ }}26.2">
  <mo stretchy="false">(</mo>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>26.2</mn>
</math></span>     <strong><em>(A1)     (C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line through <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(50,{\text{ }}26 \pm 1)">
  <mo stretchy="false">(</mo>
  <mn>50</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>26</mn>
  <mo>±</mo>
  <mn>1</mn>
  <mo stretchy="false">)</mo>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(0,{\text{ }}15)">
  <mo stretchy="false">(</mo>
  <mn>0</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>15</mn>
  <mo stretchy="false">)</mo>
</math></span>     <strong><em>(A1)</em>(ft)<em>(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for a straight line through (50, their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\bar h">
  <mrow>
    <mover>
      <mi>h</mi>
      <mo stretchy="false">¯</mo>
    </mover>
  </mrow>
</math></span>), and <strong><em>(A1) </em></strong>for the line intercepting the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>-axis at <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(0,{\text{ }}15)">
  <mo stretchy="false">(</mo>
  <mn>0</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>15</mn>
  <mo stretchy="false">)</mo>
</math></span>; this may need to be extrapolated. Follow through from part (a). Award at most <strong><em>(A0)(A1) </em></strong>if the line is not drawn with a ruler.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2018-02-13_om_07.53.00.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05.c/M">     <strong><em>(A1) (C1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A0) </em></strong>if more than one tick (✔) is seen.</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>18 is less than the lowest age in the survey <strong>OR </strong>extrapolation.     <strong><em>(A1)     (C1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Accept equivalent statements<em>.</em></p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The price per kilogram of tomatoes, in euro, sold in various markets in a city is found to be normally distributed with a mean of 3.22 and a standard deviation of 0.84.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the price that is two standard deviations above the mean price.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the price of a kilogram of tomatoes, chosen at random, will be between 2.00 and 3.00 euro.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>To stimulate reasonable pricing, the city offers a free permit to the sellers whose price of a kilogram of tomatoes is in the lowest 20 %.</p>
<p>Find the highest price that a seller can charge and still receive a free permit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>4.90     <em><strong>(A1)   (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>0.323  (0.323499…; 32.3 %)     <em><strong>(A2)   (C2)</strong></em></p>
<p><strong>Note:</strong> If final answer is incorrect, <em><strong>(M1)(A0)</strong></em> may be awarded for correct shaded area shown on a sketch, below, or for a correct probability statement “P(2 ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> ≤ 3)” (accept other variables for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> or “price” and strict inequalities).</p>
<p><img src="data:image/png;base64,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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2.51  (2.51303…)       <em><strong>(A2)   (C2)</strong></em></p>
<p><strong>Note:</strong> If final answer is incorrect, <em><strong>(M1)(A0)</strong></em> may be awarded for correct shaded area shown on a sketch, below, or for a correct probability statement “P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
  <mi>a</mi>
</math></span>) = 0.2” (accept other variables and strict inequalities).</p>
<p><img 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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A research student weighed lizard eggs in grams and recorded the results. The following&nbsp;box and whisker diagram shows a summary of the results where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi></math> are the lower&nbsp;and upper quartiles respectively.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAicAAACGCAYAAAAGjyq/AAASgUlEQVR4Ae2cjY3cxhKEnYehBAwlYCgCKwIrAisCKwIrAysCKwIrAisCKwNloAzOqANKaA+5O8sj726K8xG4x11yfmq+7p2u5crvhzsOCEAAAhCAAAQgMBCBHwbSghQIQAACEIAABCBwhzkhCSAAAQhAAAIQGIoA5mSocCAGAhCAAAQgAAHMCTkAAQhAAAIQgMBQBDAnQ4UDMRCAAAQgAAEIYE7IAQhAAAIQgAAEhiKAORkqHIiBAAQgAAEIQABzQg5AAAIQgAAEIDAUAczJUOFADAQgAAEIQAACmBNyAAIQgAAEvhN48eLHO/19/PjX/bUPH/68f//mza/f2/BiG4EvX/69e/fu9+9ML/X+9u3bnXirbeLx+fM/97mi/Nl7YE72EqQ/BCAAgRMRwJwcH8xXr37+n+G7NINMifhjTu74f4i9lCRchwAEIDAjgdaczMjg6DVjTrYT5cnJdmb0gAAEIHAKAv7JRobk9etf7upj+d7POrWv+qsAf/r09/+46L0Ls84aXz8P1acDX79+/f5TgOa0OVJbHXUM39PcPqzD83s+rUc/p+jPc6q/1+X+7dlPL9RHbV++/Olek87t+tRX87uNxn/79rf7OT2uNdez79Vz1ei2ZnDLPHWs+tp8PKa43LoOxaYevVjU/Kn9dF3zWoPWqrhcOzAn1+hwDwIQgMBJCbx//8f3YuGiUc8u4i5uKig+fK2292sXnVqofE9nmwf/dFHNSW2ncS6NoXbSoOOaFs1VjYPH17iXDpsTt23PtWCvGQq3Nwe/r+e1udfGss61ex7P86yNeY1N7SdD5fHqWfz072B03BKL2sZ6ZGjqmPV11eD2PmNOTIIzBCAAgUkIqOC4aKvwuQDVInXNnLivv4FXg+F+LqgqcC7otViumRPNr8PtrUdGykdrbuqYeq2jXpMOHVWj293faP6nmhO3q0XX69PZhdbtNIefEEinD2t2X19vz57bbHR/yzzteJ63jmd9Zi2DsLYO9/XabolF5WQt7Ti67nU6Nm5bz5iTSoPXEIAABCYgUItI/fYqk+JC5UKq4qRra4VE9/TnAqR27udxXNyM1cXRBbOaBpsdt/VZY2ocGx6N7f66rvcyTD7q+uqY1tlqcj+dXTilsx5tXxdrF3m3rU8KzNZ9zcZt27Pn9tp0f8s8l8YTH7HTulsNa/zacer7a7Go3NWnxtb50J7r2PU15qTS4DUEIACBCQjUIqICUg8XDxcxF69qTq79JOR+7TiewwbDBbgWsFZLLfQez2f3tz4ZAB91fXrtwyZBfS4dNgh1vWrb9vV76/B4dT2e223Nxm3bs+euY7pvvaZ+a/O048ls2tyYm882bWv82nH0/pZYVO7qU9973vbcxtxzY05MgjMEIACBSQjUR/n+dq+l3/LkpBYcmRQXORcdF2C/b43AtScntVBJi38+UoH1OK25WSuuVaNe+3Ch91i+Xs82CD1z4qKvcz1qETdbz2s2tX197bmrEdkyTx2rfS1dWrf5KT5ibH71yVPb99ZYVO4a4xYD1c7l95gTk+AMAQhAYBICtdioWOm9DhdCFS4XUhcvF2tdt/Fw8XWb2s9FUIXZpqO2cwGuBcztpKVeVz8dKn42LO7vMTWPj1okH8uceF6t2fqk2ear6rE5cTvrbM82J9XwbJmnjldjXP/NTh1PeqtRtT719Tqk5dZYVO7W4rXXPKtju117xpy0RHgPAQhAYAICtUjZbNTzJXNSC1Vtb9PgAlcLldupjYuVzUUdT6/r4bbur7PncQH3OtTWR537scyJ5nKRrfqs0cZtrV27Tutufy5zDG6dx+P4bDatPr03P7W1KVpr53XcEovK3Rrqk6R2fI/ttvWMOak0eA0BCEBgIgL1KYgKYC0uLowucH5yIjwqODYJOuu9C2vbzkVN46sY+YmKv81fMydqXwuztLjYaV59w7e+5zAnYqH5zcJFvy264uo21r2WZmJR11uN1S3zrI2pONYxpVFjtUc7vuJU578lFjV/6viKWdXQjl3b+jXmxCQ4QwACEIDAYQRsQlQM/aRABc5Feq1AHjY5A8UTwJzEh5AFQAACEBiPQH0q0z7Ol0GxYRlPOYpGIIA5GSEKaIAABCBwQgIyKP5ZxwZF/9ah/dnjhEtnSTsJYE52AqQ7BCAAAQhAAALHEsCcHMuT0SAAAQhAAAIQ2EkAc7ITIN0hAAEIQAACEDiWAObkWJ6MBgEIQAACEIDATgKYk50A6Q4BCEAAAhCAwLEEMCfH8mQ0CEAAAhCAAAR2EsCc7ARIdwhAAAIQgAAEjiWAOTmWJ6NBAAIQgAAEILCTAOZkJ0C6QwACEIAABCBwLAHMybE8GQ0CEIAABCAAgZ0EMCc7AdIdAhCAAAQgAIFjCWBOjuXJaBCAAAQgAAEI7CSAOdkJkO4QgAAEIAABCBxLAHNyLE9GgwAEIAABCEBgJwHMyU6AdIcABCAAAQhA4FgCmJNjeTIaBCAAAQhAAAI7CWBOdgKkOwQgAAEIQAACxxLAnBzLk9EgAAEIQAACENhJAHOyEyDdIQABCEAAAhA4lgDm5FiejAYBCEAAAhCAwE4CmJOdAOkOAQhAAAIQgMCxBDAnx/JkNAhAAAIQgAAEdhLAnOwESHcIQAACEIAABI4lgDk5liejQQACEIAABCCwkwDmZCdAukMAAhCAAAQgcCyBB5uTFy9+PFbJDaNpTv5gcNYcuOEjQBMI3EzgOfbom8XREAIdAnHmpLMebkNgQSBhk07QuADLhaEJkFNDhwdxHQKYkw4gbucTSNikEzTmZ8JcKyCn5or32VaLOTlbRFnPgkDCJp2gcQGWC0MTIKeGDg/iOgQwJx1A3M4nkLBJJ2jMz4S5VkBOzRXvs60Wc3K2iLKeBYGETTpB4wIsF4YmQE4NHR7EdQhgTjqAuJ1PIGGTTtCYnwlzrYCcmiveZ1st5uRsEWU9CwIJm3SCxgVYLgxNgJwaOjyI6xDAnHQAcTufQMImnaAxPxPmWgE5NVe8z7ZazMnZIsp6FgQSNukEjQuwXBiaADk1dHgQ1yGAOekA4nY+gYRNOkFjfibMtQJyaq54n221mJOzRZT1LAgkbNIJGhdguTA0AXJq6PAgrkMAc9IBxO18AgmbdILG/EyYawXk1FzxPttqMSdniyjrWRBI2KQTNC7AcmFoAuTU0OFBXIcA5qQDiNv5BBI26QSN+Zkw1wrIqbnifbbVYk7OFlHWsyCQsEknaFyA5cLQBMipocODuA4BzEkHELfzCSRs0gka8zNhrhWQU3PF+2yrxZycLaKsZ0EgYZNO0LgAy4WhCZBTQ4cHcR0CmJMOIG7nE0jYpBM05mfCXCsgp+aK99lWizk5W0RZz4JAwiadoHEBlgtDEyCnhg4P4joEMCcdQNzOJ5CwSSdozM+EuVZATs0V77OtFnNytoiyngWBhE06QeMCLBeGJkBODR0exHUIYE46gLidTyBhk07QmJ8Jc62AnJor3mdbLebkbBFlPQsCCZt0gsYFWC4MTYCcGjo8iOsQwJx0AHE7n0DCJp2gMT8T5loBOTVXvM+2WszJ2SLKehYEEjbpBI0LsFwYmgA5NXR4ENchgDnpAOJ2PoGETTpBY34mzLUCcmqueJ9ttZiTs0WU9SwIJGzSCRoXYLkwNAFyaujwIK5DAHPSAcTtfAIJm3SCxvxMmGsF5NRc8T7bajEnZ4so61kQSNikEzQuwHJhaALk1NDhQVyHwC5zouR/6r/OergNgQWBhE36qT9HzPf0e9dzMF98GLgAgRACu8zJU68xocg8NRPm6xNIyJsEjX3StBiJADk1UjTQspUA5mQrMdrHEUjYpBM0xgV+csHk1OQJEL58zEl4AJHfJ5CwSSdo7JOmxUgEyKmRooGWrQQwJ1uJ0T6OQMImnaAxLvCTCyanJk+A8OVjTsIDiPw+gYRNOkFjnzQtRiJATo0UDbRsJYA52UqM9nEEEjbpBI1xgZ9cMDk1eQKELx9zEh5A5PcJJGzSCRr7pGkxEgFyaqRooGUrAczJVmK0jyOQsEknaIwL/OSCyanJEyB8+ZiT8AAiv08gYZNO0NgnTYuRCJBTI0UDLVsJYE62EqN9HIGETTpBY1zgJxdMTk2eAOHLx5yEBxD5fQIJm3SCxj5pWoxEgJwaKRpo2UoAc7KVGO3jCCRs0gka4wI/uWByavIECF8+5iQ8gMjvE0jYpBM09knTYiQC5NRI0UDLVgKYk63EaB9HIGGTTtAYF/jJBZNTkydA+PIxJ+EBRH6fQMImnaCxT5oWIxEgp0aKBlq2EsCcbCVG+zgCCZt0gsa4wE8umJyaPAHCl485CQ8g8vsEEjbpBI190rQYiQA5NVI00LKVAOZkKzHaxxFI2KQTNMYFfnLB5NTkCRC+fMxJeACR3yeQsEknaOyTpsVIBMipkaKBlq0EMCdbidE+jkDCJp2gMS7wkwsmpyZPgPDlY07CA4j8PoGETTpBY580LUYiQE6NFA20bCWAOdlKjPZxBBI26QSNcYGfXDA5NXkChC8fcxIeQOT3CSRs0gka+6RpMRIBcmqkaKBlKwHMyVZitI8jkLBJJ2iMC/zkgsmpyRMgfPmYk/AAIr9PIGGTTtDYJ02LkQiQUyNFAy1bCWBOthKjfRyBhE06QWNc4CcXTE5NngDhy8echAcQ+X0CCZt0gsY+aVqMRICcGikaaNlKAHOylRjt4wgkbNIJGuMCP7lgcmryBAhffpw50QeOPxicMQfC9xLkD0YAczJYQJCzicCDzcmmWWgMAQhAAAIQgAAEbiSAObkRFM0gAAEIQAACEHgaApiTp+HMLBCAAAQgAAEI3EgAc3IjKJpBAAIQgAAEIPA0BDAnT8OZWSAAAQhAAAIQuJHAVXPy8eNfd2/f/nb38uVPF4d7//6P7//1jF4/xvHq1c/f5/B/pfHly7+PMRVjnoDAu3e/371+/ctiJd++fbt78+bX+1xSTiu/n+P49OnvRT5LVz2k37mu89evX+ttXkPgnoByveaJX6/t2W1OaW/ngMCoBC6aE23cSnAl+1qia0EuAtr09afk17XHOPwh/PDhz8cYnjFPQsCFf82c6Jo3ZJnb5zQowq35Zbz12Vk7ZPbJ9zUyXDMB79E2JT63Zvfz538WJua5zLm1c4bANQIXzYk7KcnXzIk2d30QVAx8uDA8xlMNmRNt5BwQuERARV45or/WnKjIK4+rEVDxf86ckp5r5uOxnkRe4sf1LALab9e+DCr3W+MhU34t17JWjtoZCHTNyaWfdbzZt5B6G27b/tb3Gnftg3hrf9qdn4DyQ3mpzbk1JzLZl75N6lvlUx/+JnttbvL9qaOSNd9a7ujnP+2V9fAXSV2X4a0GvbbjNQRGIvBgc6KNfu1bp661RWDvgr2Rt98G9o5L//MQ0LdI592aOVkzt9rI9fTvOb5Ryni0RaRGQzn/HLqqBl7nEVDOtKZW7/1zj87Ku/rEO2+VKJ6BwIPNyVoBELBL1/fA1AdOHyr+UeAeiuftq2+Cyjt/I2xzUNeVP+3PJJeuPwWpnolXzq99M34KbcyRS0B5dcl4KKdk4G1Q/HnJXS3Kz0wgwpxcekpz5sCwttsJ6KfHWshHNye3PLHxP9y9nQItZyegn2/Wnma3XGTSZVBkVjggMCqBB5uTS4ah943wISDWHsk/ZBz6nI+AfuprH2O35kSrXsuhW0zCYxCTZhWHaqjqPPpGizmpRHh9CwGZjvbp4KV++oyQY5focH0EAg82J3Lda7+Z69qRjlwbuDZy/r3JCOkyngZtssqPS3/erGWm9VcP59Ylk1DbHvlamtY+O55Dn58jP0Mel/O5CeiL4a25vMXInJsaqxuVwIPNif8FeP19U69VJI78T4m1SWvMtX9vontHzjVqkNC1jcDakxPligxB/Z1dG/Qtj8G3zd5vfS2npU+aqs7+iLSYnYBMyZZc1meEvXP2rBl7/V1zom+bl77l6XG6klwbqcyDXreP2PcsX2Nq7vZDp/k8957x6XtOAmvmRCvVdT/KlpFWbj3HEzkbEH22aoGQFuX6c2g6ZybMsyrthzK9a4dMeM0zfQYutV3rzzUIPAeBi+ZEydw+Kq9PSSxWie92Rya8PkAe99KZTdxR4FwJXDInMgUyBMqn5zYBNtg1t1uzUtfEawhcI6B8Xnu6rD7OeeWaXq/t49fG5h4EnoPARXPyHGKYEwIQgAAEIAABCGBOyAEIQAACEIAABIYigDkZKhyIgQAEIAABCEAAc0IOQAACEIAABCAwFAHMyVDhQAwEIAABCEAAApgTcgACEIAABCAAgaEIYE6GCgdiIAABCEAAAhD4Dzzr3ljt1bGaAAAAAElFTkSuQmCC"></p>
<p style="text-align: left;">The interquartile range is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math> grams and there are no outliers in the results.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the minimum possible value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the minimum possible value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>attempt to use definition of outlier</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>20</mn><mo>+</mo><msub><mi>Q</mi><mn>3</mn></msub></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>20</mn><mo>+</mo><mi>U</mi><mo>≥</mo><mn>75</mn></math>&nbsp;(<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>U</mi><mo>≥</mo><mn>45</mn></math>, accept&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo>&gt;</mo><mn>45</mn></math>)&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>20</mn><mo>+</mo><msub><mi>Q</mi><mn>3</mn></msub><mo>=</mo><mn>75</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>minimum value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo>=</mo><mn>45</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to use interquartile range &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;(M1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo>-</mo><mi>L</mi><mo>=</mo><mn>20</mn></math>&nbsp;&nbsp;(may be seen in part (a))&nbsp; OR&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>≥</mo><mn>25</mn></math>&nbsp;(accept&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>&gt;</mo><mn>25</mn></math>)</p>
<p>minimum value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mn>25</mn></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em><strong>&nbsp;A1</strong></em></p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following Venn diagrams.</p>
<p><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the <strong>shaded</strong> region represented by Diagram 1.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the <strong>shaded</strong> region represented by Diagram 2.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the shaded region represented by Diagram 3.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Shade, on the Venn diagram, the region represented by the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {H \cup I} \right)'"> <msup> <mrow> <mo>(</mo> <mrow> <mi>H</mi> <mo>∪</mo> <mi>I</mi> </mrow> <mo>)</mo> </mrow> <mo>′</mo> </msup> </math></span>.</p>
<p><img 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"></p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Shade, on the Venn diagram, the region represented by the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="J \cap K"> <mi>J</mi> <mo>∩</mo> <mi>K</mi> </math></span>.</p>
<p><img 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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>A'     <strong>(A1)</strong><br></em></p>
<p><em><strong>Note:</strong> </em>Accept alternative set notation for complement such as<em> U − A.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="C \cap D'"> <mi>C</mi> <mo>∩</mo> <msup> <mi>D</mi> <mo>′</mo> </msup> </math></span>  <strong>OR</strong>  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="D' \cap C"> <msup> <mi>D</mi> <mo>′</mo> </msup> <mo>∩</mo> <mi>C</mi> </math></span>     <em><strong>(A1)</strong></em></p>
<p><strong>Note:</strong> Accept alternative set notation for complement.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {E \cap F} \right) \cup G"> <mrow> <mo>(</mo> <mrow> <mi>E</mi> <mo>∩</mo> <mi>F</mi> </mrow> <mo>)</mo> </mrow> <mo>∪</mo> <mi>G</mi> </math></span>  <strong>OR  </strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="G \cup \left( {E \cap F} \right)"> <mi>G</mi> <mo>∪</mo> <mrow> <mo>(</mo> <mrow> <mi>E</mi> <mo>∩</mo> <mi>F</mi> </mrow> <mo>)</mo> </mrow> </math></span>     <em><strong>(A2) (C4)</strong></em></p>
<p><strong>Note:</strong> Accept equivalent answers, for example <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {E \cup G} \right) \cap \left( {F \cup G} \right)"> <mrow> <mo>(</mo> <mrow> <mi>E</mi> <mo>∪</mo> <mi>G</mi> </mrow> <mo>)</mo> </mrow> <mo>∩</mo> <mrow> <mo>(</mo> <mrow> <mi>F</mi> <mo>∪</mo> <mi>G</mi> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<p><em><strong>[2 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">     <em><strong>(A1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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"><em><strong>(A1) (C2)</strong></em><br><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains 5 red and 3 blue discs, all identical except for the colour. First, Priyanka takes a disc at random from the bag and then Jorgé takes a disc at random from the bag.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Jorgé chooses a red disc.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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/voR48e9cz65ptvdtu2bXMsKMCsYE7EQ3f3+eefu1deeSWafXr3EyIh0MMIjIyMTDjnJgYHB0uNwtDQ0MTw8PCkNmzZssW3L3w2Ojrqw2j3+Ph4XZq+vj7/jHDSEKe/v78ujmFG3mmTJKj0eL9yFgKpI4AEyBSOqdrOnTsb6pBCvdHXX3/t67Vw4ULHqmYcjY6Oep0Tz+655566KNH7uocJ34hBJQyosisXArxsExMICuWi7777ztmUDEaDXqmZ6YTplGglSnOIqVuoW4oicO7cOR909913Rx9ldi87qMygVkFCoHsE0AthAf/44497fRG6IcwmmjGnaKms1kEDAwOeOcOgo38wbltQyNPTgxhUtPd0LwQKigBL/atWrfLuYTAbYBr2wgsv1FbcWq02tl4QjC4kpLKHH37YYSXOtTEytgXBGI1sYcHu0/wVg0oTXeWdOwK8bEn95dUYlvrxvLBgwQJfhaGhIbdnz56Ot+qwxQdzAkwQyBdbKP5Y2WPKx2ofxqrYRFm8JUuW+P2Lb7zxhgv1WaljkrYWXvkLgTwRYBUqqb+s28FK2sDAgK//woUL/UpjdNVtqjrZKl40HvnYsxCfnTt31kUlHmGUb/FY1eM6i1W8adQmdS6oAoSAEGgLAbblYG+ERMPq3MaNG1PZgoN0hm3T7373Oy8Zhcr0aIWZ2mGFn+UmazGoaC/oXgjkiABMgGkX0y8stpliZbmsn2PTY4uWDioWFgUKgWwRQCm9a9cuL8Ww/QazgYMHD/Y0c6IHZAeV7ThUaUKgDgFWx06dOuVX5njA0v/KlSvbXpmry7RCN5KgKtSZakq5EGDlzMwGmMphNrBmzRoxp6AbxaACMHRZfQSYSjUzO8jCxsfMBh555BEP+PDwcFdmA1XuNU3xqty7atskBN577z0fhuuVUPkMY0L3E4ZNStxlANM5DmvAvQvbU6rme6pLeGKTi0HFwqLAqiKAoSGGjlHXKxs2bHCPPfZYas3Ganv37t3ebMBcnMhz59Rwy8xgaowUo0IIML2K2vEw7bvtttscU61GHiU7hUBmA50i90s66aC6w0+pS4ZAlDlRfVzhMuVKkjnB9LBnYlsIU0ekNpkNtD9YNMVrHzOlqBgCx48f96tnSTQrajaAnmnFihVamesQXElQHQKnZNVAAEkHZ2+2otZNqzAbYFPtM8884y3Ax8bGvBvhZttHuimvF9KKQfVCL6uNDRFIYnqHngklO0xu1qxZbmRkxJsNSAneEPaWH4hBtQyVIlYRgW6md0hf5n7EDiU4ceJEqqYKVeyDZm3SKl4zdPSs0gh0s3oXNRtYt26d9EwpjBZJUCmAqizLgUAn0zu8WnL8EnomvFoynevEq2U5EMq/lmJQ+feBapATAu1M78xsIOrVMk3L85xgKVSxmuIVqjtUmawQaHV6h9kAjGzt2rW+ajIbyKqHfilHElS2eKu0giDA0j/Ts2bGmXi1xGwA5oRXS5kNZN95MtTMHnOVWAAEYFCNpmeYDdhhmGwqhpE1iluAplS6CpKgKt29alw7CDDtM6+WmA3g1VJmA+0gmHxcSVDJY6ocS4aAbU8xbwPyalmcDpQEVZy+UE1yQCD0ammHYcqrZQ4d0aBIMagGwCi42gjIq2U5+lcMqhz9pFomhADTObanzJ492505c8Z7tTx27FjT1byEilY2HSAgHVQHoClJOREID8OUV8ty9KEkqHL0k2rZBQKYDbA9Zfny5W7evHm17SnyNtAFqBklFYPKCGgVkz0Ctj1FXi2zxz6pEjXFSwpJ5VMYBMxsgA29kMwGCtM1bVdEElTbkClBkRGI82ops4Ei91jzuolBNcdHT0uCgJ2eYl4t7TBM6ZlK0oENqikG1QAYBZcDATMbQM9kZgNsT2m2CbgcLVMtQUA6KI2D0iIgr5al7bqWKy4JqmWoFLEoCMirZVF6Iv16iEGlj7FKSAgBMxvAq6Udhrlnzx65QkkI3yJmoyleEXtFdapDAD2TvFrWQdIzN5Kgeqary9lQMxuQV8ty9l+3tRaD6hZBpU8FgbjDMLdt2+ZkNpAK3IXNVAyqsF3TmxWTV8ve7PdGrZYOqhEyCs8UAdueYl4t8TagwzAz7YJCFiYJqpDd0luVwmxg1apVtcMwR0dHdRhmbw2Bhq0Vg2oIjR6kjYB5tYwehnnHHXekXbTyLwkCmuKVpKOqVM3QbGDhwoXeq+WKFSscR0GJhECIgBhUiIauU0cg9GrJYZgbN27UylzqqJe3AE3xytt3pap5nFdLmQ2UqgtzqawYVC6w906hodkA21M4DPPgwYPantI7Q6CrlmqK1xV8StwIATMbkFfLRggpvBUEJEG1gpLitIVAeBjmli1b3NjYmJNXy7YgVORfERCD0lBIFAEkp5MnT/o/Vuj6+vqkBE8U4d7KTAyqt/o79dZiKoALlJGRETdr1iyHC94NGzY4lOQiIdAuAmJQ7SKm+C0hcM899zhc7w4ODroLFy44XPJyoi9Kc5EQaBWBaRMTExOtRlY8IdAJAkz7Dh8+7DZv3uyY9r388stOhpmdINl7aSRB9V6fZ95ipn0vvPCCY4/d0qVL/Z479t6hTBcJgWYIiEE1Q0fPEkWAPXbopzgSCkI/tXXrVumnEkW5WpmJQVWrP0vRGo6EMv0UR0WZfoqpoEgIhAhIBxWioevMEUBpfvTo0Tr91NNPP515PVRgMRGQBFXMfumZWuHCF/0UZgmmn3rqqaccPqJEQkAMSmOgEAhgloB+amhoyNcHH1Hop/AZJepdBMSgerfvC9nyxYsXu2PHjnn7KfRTs2fP9vZT0k8VsrtSr5R0UKlDrAI6RQD91IEDB9z27du9/dTrr7/uli1b1ml2SldCBCRBlbDTeqXK6KfwGYV+at68eW758uUO/ZS2zfTKCHBODKp3+rq0LUU/hQ8p9FP4lMIsAf2Uts2UtktbrrimeC1DpYhFQABd1KlTp7w1OvUZGBhwK1eulD/zInROCnWQBJUCqMoyPQTYNoOdFD6m8GnOkehLlixx+DoXVQ8BMajq9Wldi9DXvPvuu5WbDoX6Kdy6oJ+SW5e6rq/EjRhUJbqxcSMuXrzop0PXrl1rHKnET8ytC77Oza3Lrl27KseQS9xFXVVdDKor+JS4KAhgfnD27Fmvk8Is4bbbbvOSo+ynitJDndUjl0MTWH3ZvXt3XY3vvPNOv+WhLrBHb3ip+GMaExK4IQnNmDFj0rNoPO6j6cM4VbxGP4Xv8yeffNKPLw5swP/Uvn37HAagohIigMO6rKm/vx8neXV/Q0NDWVejUOUNDg56PAYGBmq4gBM0Ojo60dfXVwsHuy1btkyMj4/XtWF4eHhi/fr1tXhcG9YjIyN1cXvhhjYbbmDRixiUvZ9d1g0YGxubWLhw4aSXK+t6FK08Y1AwH14qXiiYFcwJvPjjHiYEc7J4xqQsHuEwJWNM3PPXyy8n2IKfYcMYFJUDgcwZFC8OLxgvlOg3BIxBwZhCMkZz+vTpMLjGgCzcmFb48oGxGNQvsMHIDUuYFXgbc68DVjeFQiBTJTk6FPxS7927128ClVuNyToBfHWH9MEHH/jbG264wW/xwGyAP5bWoU8++cT/giln0IV6JzxYEiZy3pBTbofLNxIyZVAoePv7+9369es9UpyfhlsN+ab+beDMnTv3txvn/PlyBOAely0e9mcn9v7www9NXZJE86vLvAdv5Ha4XJ2e6SoeNiv8QXzZn332WXf+/Hn/8mEZHH79ywVj67W1ZW9WnNohjm+Ko5kzZ7rp06fHPfJhP/74Y8NnvfzA3A5jxMqKMhIoH89169Zp20yBBkamElTYbhgVdismTb333nvh40pesx2DbRkcwdQq2RQNSYgtHvY3Z84cd+7cOZ8NjJ3ldPwnGQO0/DFeFDVGADz/9a9/eeaE+oH+gWmJioFAbgyK5iNFbNq0ySOBxXNVCZ0R2zDYjoHbkHZ8Gi1atMjDcujQodpUjvyef/55/9W/6667/HP0K0ijO3bs8DoqPFFiUU06UXMEYPByO9wco9yeFkFlz0oTS+hVI1bUdu7c6VfSWDmyFbe4dtoqXpw5gK3QgZMtl8dhZqtUtnIXxo/LN64eCpuYwCbP7Ke04pzviMjd3Qpfety6clYaeoEqENOsdl2CIBUhRXJwQJwujoUEpsQoxZGqHn74YYfCN0rg+fHHH/tgpoHop5rlG02v+18QsD5EP4VkKv1UTiMjS/6IXU74JccOBQmDr1RVSF/fqvTkL+1oRwquVsuL0ZpMdVBHjhzxy+R8/fGIiEISieC1117LiT0nVywSEG3CHABCIuSUkjgpJ7lSlVMSCDQ7OQZpVm6Hk0C5wzyy5JNIUOhakJr4DaWpLOuRZFlxFspJ5q+80kGAsYjOznR66Jya6QitFkjIlgbJP7Tctzj6TQ6BzLe6JFf1/HOCydpgZbBrsObfJ63UAOZk/RYuKHDdSh/yUbJFDdKwwKNtM60g336cTKd4HQp5hUvGqbds08GaG6U2p46wTB2n3C5c5VUht3//fm/uMTo66qfifX19NVSwJZuK5HZ4KoQSfN4+T2stRfTL1Ol9a6VlE4uvqy358wXudRcx2aCefCnRfmNqZ+Mz+qyV0lFVmFmC3Lq0gljrcVKb4lmHd/vbelPSi4n4jhhvbUG8l0ifHt5Z52x9i260m36F0dnUkbxamS5m3daylZcagyobEI3qq0HXCJnyh8OMQl0SesRuSR+zbhGsTy8GVY9H7Q6xHXEdqQnxvQorjrXG6cIjgORkEo9Jx0kwKTKXOiCZQSYGFcGRgYV4zoBl8Lay9BzJQrclQgCJB6ZkDIo+T5Kkn+oOTTGoX/GLivtaOu5uYJUtdShJpSEtyySlsxEhBjWhzaGdDZ1qpTJFOZIUH6s0KJTWYIhabJka5VzsoNj4iiuQN954w2FTlBdpe0peyOdbLn65ol5cza0N/rfadSbYamvIV26HW0Xr13hT87BkY/ClQunM6SRY9JqiMq2vVlzt475kcfEUVj0EGHOmb8KmzaZz6KGQarI0DeAdMPupsC7VQ73zFmU6xaPzGRxRYzjCEHezIOkCskC5uGXwcQr1TYw97vPcVxcdk1l+rIvbU7/ULFMGRUcwIJCaQiIsqeXdMN/wOlxN0dcqRKY3rxkP9lcEhsDH21YTTT/Vmz1T3+pMGVQoXnMN2TYDE7Xrq9f9HR0PQ7IvZVR6674E5SAEkkOA98DGq6lCksu9fDllyqCAx74SJjXxmwbT4KsYrswgvRXhS1m+IaIa54EA70Son7IPert14R2A4U2VnveQv6JRLjUKmVR0upcEQHSu6Rm0JyoJRMubh714SfxmjQIf1G71UyaNTTVDMXyybuNU5eViZsACIsckQWvXrvXmBr8uKnb1g9kAp6fg1ZKTd3GDgjdEuUHpClYlzgkBc+vCsVg7d+70p3LjhRYziV6hzBkUbn85q40DAIaGhjzOnEfWDegcqY5dFafukvfp06fdiRMnaoeE9kpnqp2TEZiYmGCWkMjf5NyzCUnC7fD4+Lh/x3j/OPePd6YZ8bHnL0qExblIxp6RfHmPp8o7mmfT+6lErCSfm5I83N+G6GnLvO2WFRWBmS5Kz9QuiopfNgRCFQZTuGa2WzbFM5WHTeX4DXW/Fm5YRO/DcPI04p02XZml4Tcp1U2mOijTPWGgFpKZH4RhU10npUScqhw9FwJFRMA+zsYUGn2cjUEZ0+Dds83whBlzs3ysrdH7MNwYFHUwxsc7TF7hKmTIAC19u7+ZMigqTMNhVCFxD2itEBzbQNcybCuIKU6VEYApGMMxxhG2196VqJLcwmEsUJQhRe8tT8KtHHufeQ9DgnERD3dF3dJ1Ted/CT988MEHvXKcefA999zjHnroIffFF1847t9+++2mpXGQ4uHDh72iEAX74OCgW7FiRWr7pppWRg+FQEEQMP3UX/7yF39Ia1y18LnO+xaS7T38z3/+Ewa3dX316lUf//bbb/f6pzAxZR46dMgdPGyrcxUAABvuSURBVHgwDG77OlMGxaoEijQY0vLly31l169f7/bt2zcJwLAlpAlPeF29erVW5kKAdN02Apxh2Iw407BMFGVAYd2bPeNcym4JRsRfGpQpg6IBHGTJ0j9/UxErBgykkydPOhgZUlYzsKfKT8+FAAiwyrR3796GYLCkXyWKW427cuVK201stDo3MDDgTCJrO9MpEmRuZjBFffxjgIAxYTYAkJgjICqKObWCnuJMhQBqhWaErVGViA986NYIdQmzGOixxx6LbarZKYZM6ZNPPqmLO3PmTH+P2QHvpv1Nnz7dv7vNPgJ1GTW76VaJlWR6lGusRpiCDgUeYSIhkCQCLMrwF1Ucmw/6Ko05U4bzTtFm3ilbeePX2mrvnOFsincwYeUvPDzElOSktbwMz3B1vXSreNb4uF8aY40FAFv+jIurMCHQDQJxLw7jjZe01dXkbsrPMq0xKPuljbxnMJTwHYsyqDj7JpgVf8agaEdcPPIi/yRoGpk0k7DSfsb8GFEQJRuaf5STmsqljbryjyKABTQLN6gTFi9eHH1c2numX1iRz5492zG1u3btmr+Oeg2dNm2ab2PIDojPdrFLly45pnPgYlbk6JJDYgpp8Vitj+Yfxm3nOjcGxdz2wIEDbvv27d704PXXX3fLli1rp+6KKwQSQ4A9nHwkeZmTerkSq1wPZ5T5Kh5c+dSpU3VmA+vWrdOg6OFBmHfT+VjCnFi9E3PKuzfqy890FQ9H9atWrXLPPPOMW7p0qRsdHfVO5DUo6jtFd9kiYKtTVVu9yxbFdErLhEExb8VsADco0PDwsNc1Reex6TRRuQqB5ggcP37cR0B3IioWAqkyKKZzHC2Fgu7MmTN+e8qxY8fc/Pnzi4WCatOzCGh6V+yuT00Hpe0pxe541e4XBDS9K/ZISFyCwmzgqaee8nqmefPm+WVKDiuUV8tiD4RerZ2md8Xu+cQYFKKytqcUu7NVu8kI4BED2yct1EzGpgghXdtBoWfiK4RvcUhuUIrQraqDEKgGAl1JUJgNsDQLc+JM+7GxMff000/ra1SNsaFWCIHcEeiIQaFnip6ewhYV6Zly709VQAhUCoG2GBR6JswGdHpKpcaAGiMECotAS2YG2p5S2P5TxYRApRGYUoJil7K2p1R6DKhxQqCwCDRkULY9ZcGCBb7y2p5S2D5UxYRAZRGYxKC0PaWyfa2GCYHSIVCng8Jp1yuvvOLOnz/vXU9s3LhRK3Ol61JVWAhUBwEvQdn2FDwK2vYUTl2R2UB1OlotEQJlROD/jY+Pv4oS/KabbnL//Oc/3aZNm9xtt91WxraozkJACFQMARwR40TdH6gp/0wV6101RwiUHIH/49A9dE74bMJFCkpykRAQAkKgCAj835o1a/weOvbS4YqXvXXssRMJASEgBPJGwCvJUYazl44jZmbNmuVd87LXDuW5SAgIASGQFwJ1dlCcR3fixAl3+vRpd+HCBb/nbteuXf4s+7wqqHKFgBDoXQQa+oNCF3X48GG3efNmf27dyy+/7HDuJcdevTtY1HIhkDUCdRJUWDiMCFe9HA3FEVHopzBHkH4qREnXQkAIpIlAQwZlhWJ6gH6KvXgQR0fh2lf6KUNIv0JACKSFwJQMygrmqCj0U7j05QgpfELhGwofUSIhIASEQBoINNRBNSssTj+Fq1+REBACQiBJBFqWoMJCTT+FWYLppzhqCt9RIiEgBIRAUgh0xKCscMwS0E9xbA+E7yj0U/iSEgkBISAEukWgoyleXKFM+06dOuV2797tt8709/e7devWySwhDiyFFQIBJP5Lly5NqsucOXMcOldR/ggkxqCsKSjNjx49Wmc/Jf2UoaPfIiHw8MMP+49ptE7MCBYvXhwN1n0OCHQ1xYurL9tmsJ9CP4VvKeyn0E/JLCEOLYXlhQD2fGySjxKePcScoqjkd584g7KmoJ86ePCg109duXLFmyWgn5JZgiGk3zwROHnypMOTx8TERN3fxx9/nGe1VHYEgcSneJH8/a3pp5CmIAbGypUrpZ+KA0thqSPARxKnjOvXr3e33HKLW7RokWO6J39oqUPffgETGdLY2NjEzp07J351kjdx+vTpDEtXUULgFwQGBgb8GGQchn9btmyZGB8fF0wtIDA4ODgxNDTUQszuoiDeZk4jIyMT69ev94Ojr69vgnuREMgKgYULF9YxppBJMS7FpKbuCTCDoadNqemgmslypp/CrYvpp+TWpRliepYUAqgb3n77bb+Iw0IOW7f6+vpq2R86dMh9+OGHtXtd5ItALgzKmrxs2TJ39uxZr5Pavn271wvI7bCho980EGAXBB9I+8ME5tixYw67PaMPPvjALiv122iBCsPqRs9CAFqJE8ZP4jpXBkUDGDByO5xEVyqPThGwrVsmSc2dO7fTrAqXjpXzadOmuSNHjngBgMUAc5mEMMA95xGwaIA5kD0LG0I8nhEnTB/GSes6dwZlDZPbYUNCv3khwIcSeuCBB/KqQmrlrl27tjaVveuuuzzDYlUdF99Mc/lD3YI7pZBJwdiIxzNW380leGoVjWactpKr0/xZ4TNlJit/rACKhEASCNhKMqt5oUIcBTl/VSIU2Si0aasR75ItDIyOjlqwx4J3jj+IZ6YMD3GyVdDKKsmjTDLu3vRT6AbQTz3++OM6FisOKIW1jcAPP/zg0yBVcIoRUgJTGGj//v1t55d3AnZpcMgJ7WhEjz76aO3RtWvX/DVT2vHxcb/LgzzMey4W9tx//vnnPh52YkyDjbBhzIquy6qgTsox3QCDh4GDqAmoHJGl7QidIKo0IPDaa6/5cYSX2MuXL7sbb7zRvfrqq363Q/giFh0tlNYHDhzwH3C26Dz33HMNqxwaoV68eNHHw5qev0Zk29OiOrksMSo0gzLgzO3w6tWr/UBingyTwhKY1RiREGgHAV4wPnBl/ch1uzMDhgzxDiEdxdGMGTPcTTfd5B999dVXub1nhVGSx4EUDZPb4Sgiuu81BFBgMy1lNgGDGRsb86vg7Ug1d999t4ft+++/d5hZhH8ow3/66Sf//I9//KP/NUnKsM7U3KCmIcvoAsUbSjYsyPnjuhMFOEq7/v5+r8RDqYfpvUgIRBEwZXASv9G8s7yP7r4YHh5uqXhTkkcj2wJUuF0lqvzmvbR4vF/ch/XIQkme6VYXQI0bKN00FMCsE2B4rXZctMN0X00E4sZbp2F5IART6OZDbO9GtO68J8Z8+LVrsAkFBgSK8BnP7b6b9zZan0b3mXgzQDRk3oxoio+oTZs2eTcsHApqhKiKLVSnhOi7d+9er/RD9H3xxRe1O71TMJUudwRMz9Sth1rei6tXr/ppXLRRTNVwLslCwc033+zfz/vuu2/Se0hdPv30U7/r409/+pM/h4B6oTw327Fo3ondN+JcSYfDlaPeC5B47GsWcu1Oy2bahyhqHJ4vT2i/0Wm+SicEskSAaZe9G0gpoa1SlvUoQlmZTvGiDTaPBjCSJKlbsTjJuigvIdAqAlJXTEYqNwaFpGPSU1pfiFChxxeJe5EQKBoCcQs+kvx/6aVcGJRNwYxBcZ8m80BktjIRmZOYThZtkKs+5UQgqpLQ2Kzvx1wYFF+HcK8djCrpaV59Mye8LiqU2lhS1VcqilLv3CO181Fs9Jc2EqyihXqmND/QabclzfxzYVDWICSbUIqy8DR/+ULZZlGkqqjiPs2ylXdxELBxF/cL40iLYIy29E85oR1SWmWWOd9cGRTAhVOvLIHki2VKeumnskQ+/7Lo+zjGZGFI10lTqGeiHKR5SfBTo5zpVhdM5rGpCIkz9KBGe4LCuEley+1wkmiWKy82y7K5Fns584UUuv4Nd/4n0bL333/f2xhh97dz506/PYXtJe1sT0miHqXMY2oelkwMplJ8OZCYQrHWfPDk+TWhbDPz19ctmf4uci6NbIsYm0lO75DUyI8xxTiXnqn9UZHZFC/UN9FhdBydxmDJkzmFkKGfMv1AlJGG8XRdPQRsG1YS0zuNo+TGR2ZbXRAvP/vsM3fp0iUvaeLy4f777y/kdhSmovhyxlcOLl2YCsitSyknCC1X+o033nBMwXDaFvpOajmDX7dzHT9+3OEID2LauGLFCk3l2gExGjc5Xle9nEJTCLkdrl7/hi3qdnoXjhWkcNkzheh2fp3ZFK/zKuabkulndDd5Uaak+SJTndK7md5pNTjdcZDaKh5H3STxF5X4sr5npYWVRvPXjKOwVatW1Z18kXWdVF6yCAwNDfkM21m9wxMAh83ee++97sKFC45DaE+cOCFVQLJd41KToFCEJ/GXLn9uP3dZALePWdFTtDO9Q3rWjoTsejQ1BpVdE/IpSXuo8sE96VLbmd6xEg0z48MrPVPSPRGfnxhUPC4thcbpp1pKqEiFQcD0i808akT1TDA1UTYIpKaDSnoqWsT8TD81MjLivQyin+KILMwpROVAgLPkOMoszrQAPRPmB6ZnwmwAPROHd4gyQiAbPtgbpTAFMMthpgDNvsq9gUg5W2l6JpvOIWVp5TafvpQEleCHgHPWjh075g30zpw542bPnu2/wNH9hwkWqawSRgAf3qzSIg0vXbrUr96yiqt9cwkD3Wp2WfNFDNj4ItmWEn6r+IWydqJQ5UuMUr0Z2crQVPFsZbRZXnrWPgLomWxMIgVLz9Q+hmmkyFyC+utf/+q3FDz22GP+68S2ErYYHD58uFWeWop4nFDDlxf9FCfZmH4qeghiKRpT4Uoi3ZqeCakXPRNSsPRMBen0NLheozxtwzCbhI1CLwJV3h4QLlEjMUZJElQUkfTvwTzUM1V5/KWPZjolXJcln2TzLXTo0CG3f/9+P6+345UJv3bt2qQzubKsX5ploZ86e/asO3XqlJszZ07Dojh2mpUlfBZBSJrLli1rGP+bb75x4+PjXt8V6kniwpEWKP/cuXM+vzvvvNPn3WsboVllffXVV2tnKL799tuyAG84wnJ+kA7fi881lJaQoljlCsPiU/VGqElQpmMKf8HKVpEs3FAxvUnU11A0HOnAVhjJwyQHrpHueoHkbrd8vZypDoq9TngyhJCi8Cr47rvv+jD2uol+QaC/v997XRweHvbuXsAKyacbOnDggJcYBgYGvMSFNIe+BXrkkUccNj9VJdMzsarK6dOmZ0KqFRUcgax5Kl+x8OvNFzxOJ5N1vfIuzyQo3LqEBF5gZHo7rvkzikpKjcItXVTPYgdIVFWKCt2gyGWOjY7y/GaqgzJezarW+fPn7dav4nFj/slrD3rw4oknnqhrtVk4I0UdPHiw7lmrNyYdIb3u3r27LpmtKl69erUuvOw3UaeD0jOVs0czneIxaJjWQWNjY376YrBhaoBit9dp+vTpiUOAEr0RoSDHY+jMmTMbRSlVOMwYb6hsT7ly5YrDlQqMvdcWAkrVaU0qm6kE9c4773jJ6eWXX/ardazk4UvHpKnPP/88dk9Uk/pX7tG3335b9zJ1yrS///77GjYmhYEzuqdwtY8XmtXTGTNm1OKX8QI9k9ztlrHnmtc5UwmKjZYh2WZbC7vhhhvssmd/33rrrZrCmpcOkwOI44riaO7cuT4YxmYE02FKGBK+1aFQ2U7+GM4ibcCkykp2rBO+wJEGkc51rFNZezNS7yzVZWZSwK8Ryl8UuCyB9zKZktyU2Swc2GICvyjLIXtuWJnxK3FQCHNvmBLXzA/M7xFhPKc8ixf2h+Vbht+oGxRraxnqrjq2hsBvy0Gtxe8qFitIvCC8TLwwvFD2wnHdy2QMipUmYxzgRLjZQIGP4RViZYzfnpHeVufClzZ8oYlLPNKG+Yf5FvWacWTtM8Zc1LqqXt0hkOmxUwhvKMoRyS9fvuxluV61Zo4IspNumaYxBQ71RZMiBQFM18yWDIWw6Zaw/YnmQVz+2C9YJqLOTFHZ1whh07Vy5cpJ7StTm1TX5ghkzqCaV0dPhUA8ArhBeemll/yCCnomW2iJj63QqiCQqZK8KqCpHdkhgMS9YcMGb+0+a9Ysh3X9nj17Sif9ZYdYtUoSg6pWf1amNUxRzQ0Kpihyt1uZrm2rIZnaQbVVM0XuSQRMz4TFO3Zb7Etct26d9Ew9ORqckwTVox1fxGbL3W4ReyXfOolB5Yu/Sv91ZZftKXhVgEzPZBbwAql3EdAUr3f7PveWM53D1TP7MNnIjJ5pxYoVms7l3jPFqYAYVHH6oqdqgh+wUM+0evVqrcz11AhorbGa4rWGk2IlhADudjnc1I514lAJ3OyUzWg0ITiUzRQIiEFNAZAeJ4MAXhnQMy1YsMBniBsU7JnkBiUZfKuai6Z4Ve3ZgrQr1DNRJemZCtIxJamGJKiSdFQZq2luUFCC4y5GblDK2Iv51lkMKl/8K1k621PQMy1fvtwfWoqeadu2bdIzVbK3022UGFS6+PZc7uYsz85A3LRpk/RMPTcKkmuwGFRyWCon57yUhPIbJTi2TSjFUY7DuERCoF0E5G6lXcQUv2UEbF+d/De1DJkiRhCQBBUBRLfJIYCjPHyDoxxHSY7P8CVLlniHhcmVopyqjIAYVJV7tyBtwwgTJTnKcs5ERHmOEh1lukgINENADKoZOnqWKAIYZXJGHfopzqzjNBnppxKFuHKZSQdVuS4tR4PQT+kcu3L0VZ61lASVJ/o9XDb6qTVr1nj9FD7GUaSjn8InlEgIGAJiUIaEfnNBAP0UZgnop/A5jk8ofJBLP5VLdxSuUDGownVJb1YI/RQnT58+fdrhgxz91K5du2Q/1ZvDodZq6aBqUOiiKAhIP1WUnsi/HpKg8u8D1SCCgOmnOIjU9FOrVq2SfiqCUy/cikH1Qi+XtI34JEc/hY9yCP0UZgnST5W0QzuothhUB6ApSbYIzJ8/3+un8CV15swZr5/izDzt78u2H/IoTTqoPFBXmR0jEDrAYzMyR6DroIWO4Sx8QklQhe8iVTBEAP0UPszRTy1dutTbT6Gfwte5qHoIiEFVr097okWmn2LbDGRuXfB9LqoOAmJQ1enLnmzJ4sWL3bFjx7yvc/RTs2fPduinmAqKyo+AdFDl70O14FcEUJofPXq0dhAo+incvYjKi4AkqPL2nWoeQYBtM+in2DZj+incukg/FQGqRLdiUCXqLFW1NQTYNmNuh3HrYvopmSW0hl+RYmmKV6TeUF0SRwBd1KlTp/xqH5kPDAy4lStXOlYDRcVHQBJU8ftINewCARiR3A53AWDOScWgcu4AFZ8NAnI7nA3OSZciBpU0osqv0AjI7XChu2dS5aSDmgSJAnoFAbl1KX5PS4Iqfh+phikhYG5dOBbL3LrI7XBKYHeYrRhUh8ApWXUQkNvh4valGFRx+0Y1yxgBuR3OGPAWipMOqgWQFKX3EJB+qhh9LgmqGP2gWuSEAIwozkOn6afkdjinjvm1WDGofPFX6TkhgFsWTo2ZPn2699A5bdo0d+TIkUm1Mbcucjs8CZpMAjTFywRmFVIkBNiT9/jjj7vz589PqhZuhZt5QHj33Xfd7t27fdr+/n63evVqh5JdlA4CkqDSwVW5FhiB9957zzMY9uXxh+tgozgpyp7xC/M6e/asgzlt3rzZMzqYFlNFUfIIiEElj6lyLDgCv//9771LFo5e5w+/UUZ4P5iK0E/J7fBUKCXzXAwqGRyVS4kQWLZsmcOkwGju3Ll26fAf1SqZfkpuh1tFrP14YlDtY6YUFUPg4sWLtRY99NBDtetWL+R2uFWk2o8nBtU+ZkpRMQTwFwX19fW5P//5zx21zty6/Otf/6rpp9g2g35K1DkCYlCdY6eUFUAAG6hDhw55RTmHLcBouiG5He4GvclpxaAmY6KQHkGAlbdnn33Wt/btt9926JSSIrkdTgZJMahkcFQuJURgx44d3twAJbcpzZGokpyWoZ/CLAH7qr1797rbbrvNG4TKLKG1ASNDzdZwUqyKIQATeuaZZ9z69ev90ek//fSTQ1nO2XpIU8awkmw2BqIHDhxw27dv91PK119/3bGiKGqMgBhUY2z0pKIIfPTRR+6RRx5p2LqJiYmGz5J4gJSGNIXuC8U8J9CkwRCTqGveeWiKl3cPqPxMEUCKeemllxqWiUSVNsGMDh486JhaYhh67733uq1btzodizUZeUlQkzFRiBDIDAF0UcePH3dr1671ZaKrWrFiRderiZk1IOWCJEGlDLCyFwLNEDC3LnI7HI+SGFQ8LgqtCAK4UUnqL01I5HY4Hl0xqHhcFCoEckEA/dSJEyfc6dOn3YULF7x+Cr9Vvaqfkg4ql2GoQoXA1AgkoZ/CfQzmEy+++GJTQ1SkTCjtFcypW10fQxJUPR66EwKFQcD0U924HYY5YdIwPj5emHa1UxExqHbQUlwhkAMC5talF90Oi0HlMOBUpBDoBIH58+d7/RSmCFi8Yz/FBudW9VO2jYffpLfaUAfy5S9RmhAJASFQOgTGx8cn+vv7MXmfWLhw4cTg4OAEYVHasmWLj9PX1+d/iW9pRkZGatEt3AKi92E4eRpRppVhaajP8PCwRenqVxJUouxemQmBbBBAPxV1O7xv376GhZ88edIf7470xfYaDozAk0O3khTKd3RcHB3PFJT8oQULFrjPPvusYX1afXBdqxEVTwhUCQG2ljSim2++2W3btq3R40KFm34KpnPDDTc0rBtmC7YxmYMfNmzY4PcCfvjhh7XwhokbPIABmS8t9hNCTEOXLl3qvTa8+eabfktPg+QtBYtBtQSTIlUJAc7E46vfiDixpWyEW5dGxKk1xpwsDttpYC7ojKLPLM5Uv5cuXfJR8OMe1T3BMMmfPYfdkBhUN+gpbSkR+Prrr+vqzfQE4iVjKtTM00FdwpLcINE0osuXLzd61HI47mP4S4PEoNJAVXkWGgF0JUhJfPlDL5pMe5A2mKZUiaLSDW3D/1W71Ehfhd4pPBmn3XybxReDaoaOnlUSASSkKBNimZwpSRmnd1N1ElIh7bMTkGE05jV00aJFUyWvPcdgNKQbb7zR3+IyJjyNmfzxVgqZbipM1861VvHaQUtxK4FAlDnRqE8++cS3rWrTO+swjnp///33/TR21apVfirLs0bTP5v2GiOD6UT1dnZEF9tpcAJIHBihrey1w/ysntFfSVBRRHTfkwjgk6mK0zvrzHnz5rnly5fbrTcLwDmfSVW1B79erF692jMk3CIbgQ/KbyPS4nQPph5l7OQdSlWWpt1fbRZuFzHFrxwCfPU5zIDpHbZFVSIkm6tXr3pJ6YsvvvDX6IuiLobjNguz2vnxxx+7c+fOeR3Tk08+6cgDClcNwQ/Ldov36KOP1un2usFTDKob9JS2Eggw9UG6QHkeN/2rRCNL2gjpoEracap2cghUfXqXHFLZ5yQGlT3mKrFACDA9YfVuzZo1BaqVqmIIiEEZEvrtSQSqvnpX9k4Vgyp7D6r+XSGg6V1X8KWeWEry1CFWAUVGADufmTNn1q1KFbm+vVY3Mahe63G1VwiUCAFN8UrUWaqqEOg1BMSgeq3H1V4hUCIExKBK1FmqqhDoNQTEoHqtx9VeIVAiBMSgStRZqqoQ6DUExKB6rcfVXiFQIgT+P+n0jawQJk/aAAAAAElFTkSuQmCC">   <em><strong>(A1)(A1)(A1) (C3)</strong></em></p>
<p><strong>Note:</strong> Award<em><strong> (A1)</strong></em> for each correct pair of branches.</p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8} \times \frac{4}{7} + \frac{3}{8} \times \frac{5}{7}">
  <mfrac>
    <mn>5</mn>
    <mn>8</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>4</mn>
    <mn>7</mn>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>3</mn>
    <mn>8</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>5</mn>
    <mn>7</mn>
  </mfrac>
</math></span>      <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for <strong>their</strong> two correct products from their tree diagram. Follow through from part (a), award <em><strong>(M1)</strong></em> for adding their two products. Award <em><strong>(M0)</strong></em> if additional products or terms are added.</p>
<p> </p>
<p>= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8}">
  <mfrac>
    <mn>5</mn>
    <mn>8</mn>
  </mfrac>
</math></span>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{{35}}{{56}},\,\,0.625,\,\,62.5\,{\text{% }}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mn>35</mn>
        </mrow>
        <mrow>
          <mn>56</mn>
        </mrow>
      </mfrac>
      <mo>,</mo>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>0.625</mn>
      <mo>,</mo>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>62.5</mn>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C3)</strong></em></p>
<p><strong>Note:</strong> Follow through from their tree diagram, only if probabilities are [0,1].</p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>The following table shows the probability distribution of a discrete random variable <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> where&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo> </mo><mn>2</mn><mo>,</mo><mo> </mo><mn>3</mn><mo>,</mo><mo> </mo><mn>4</mn></math>.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p style="text-align:left;">Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math>, justifying your answer.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="color:#999;font-size:90%;font-style:italic;">* This sample question was produced by experienced DP mathematics senior examiners to aid teachers in preparing for external assessment in the new MAA course. There may be minor differences in formatting compared to formal exam papers.</p>
<p>uses&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∑</mo><mi mathvariant="normal">P</mi><mfenced><mrow><mi>X</mi><mo>=</mo><mi>x</mi></mrow></mfenced><mfenced><mrow><mo>=</mo><mn>1</mn></mrow></mfenced></math>&nbsp; &nbsp; &nbsp; &nbsp;<strong>(M1)</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>k</mi><mn>2</mn></msup><mo>+</mo><mfenced><mrow><mn>7</mn><mi>k</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>+</mo><mfenced><mrow><mo>-</mo><mn>2</mn><mi>k</mi></mrow></mfenced><mo>+</mo><mfenced><mrow><mn>3</mn><msup><mi>k</mi><mn>2</mn></msup></mrow></mfenced><mfenced><mrow><mo>=</mo><mn>1</mn></mrow></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>k</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn><mi>k</mi><mo>+</mo><mn>1</mn><mfenced><mrow><mo>=</mo><mn>0</mn></mrow></mfenced></math>&nbsp; &nbsp; &nbsp; &nbsp;<strong>A1</strong></p>
<p>&nbsp;</p>
<p><strong>EITHER</strong></p>
<p>attempts to factorize their quadratic&nbsp; &nbsp; &nbsp; &nbsp;<strong>M1</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mfenced><mrow><mn>4</mn><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></p>
<p>&nbsp;</p>
<p><strong>OR</strong></p>
<p>attempts use of the quadratic formula on their equation&nbsp; &nbsp; &nbsp; &nbsp;<strong>M1</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mn>5</mn><mo>±</mo><msqrt><msup><mn>5</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mfenced><mn>4</mn></mfenced><mfenced><mn>1</mn></mfenced></msqrt></mrow><mn>8</mn></mfrac><mo>&nbsp;</mo><mfenced><mrow><mo>=</mo><mfrac><mrow><mo>-</mo><mn>5</mn><mo>±</mo><mn>3</mn></mrow><mn>8</mn></mfrac></mrow></mfenced></math></p>
<p>&nbsp;</p>
<p><strong>THEN</strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo> </mo><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math>&nbsp; &nbsp; &nbsp; &nbsp;<strong>A1</strong></p>
<p>rejects&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mn>1</mn></math>&nbsp;as this value leads to invalid probabilities, for example,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">P</mi><mfenced><mrow><mi>X</mi><mo>=</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mo>-</mo><mn>5</mn><mo>&lt;</mo><mn>0</mn></math>&nbsp; &nbsp; &nbsp; &nbsp;<strong>R1</strong></p>
<p>so&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math>&nbsp; &nbsp; &nbsp; &nbsp;<strong>A1</strong></p>
<p>&nbsp;</p>
<p><strong>Note:</strong> Award <strong>R0A1</strong> if&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math>&nbsp;is stated without a valid reason given for rejecting&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mn>1</mn></math>.</p>
<p>&nbsp;</p>
<p><strong>[6 marks]</strong></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>Events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
  <mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span> are independent with <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cap B) = 0.2">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>A</mi>
  <mo>∩<!-- ∩ --></mo>
  <mi>B</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.2</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A' \cap B) = 0.6">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <msup>
    <mi>A</mi>
    <mo>′</mo>
  </msup>
  <mo>∩<!-- ∩ --></mo>
  <mi>B</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.6</mn>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(B)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>B</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cup B)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∪</mo> <mi>B</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>valid interpretation (may be seen on a Venn diagram)     <strong><em>(M1)</em></strong></p>
<p>eg<math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cap B) + {\text{P}}(A' \cap B),{\text{ }}0.2 + 0.6"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∩</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∩</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mn>0.2</mn> <mo>+</mo> <mn>0.6</mn> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(B) = 0.8"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0.8</mn> </math></span>     <strong><em>A1     N2</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid attempt to find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo stretchy="false">)</mo> </math></span>     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cap B) = {\text{P}}(A) \times {\text{P}}(B),{\text{ }}0.8 \times A = 0.2"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∩</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo stretchy="false">)</mo> <mo>×</mo> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mn>0.8</mn> <mo>×</mo> <mi>A</mi> <mo>=</mo> <mn>0.2</mn> </math></span></p>
<p>correct working for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo stretchy="false">)</mo> </math></span>     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.25,{\text{ }}\frac{{0.2}}{{0.8}}"> <mn>0.25</mn> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mn>0.2</mn> </mrow> <mrow> <mn>0.8</mn> </mrow> </mfrac> </math></span></p>
<p>correct working for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cup B)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∪</mo> <mi>B</mi> <mo stretchy="false">)</mo> </math></span>     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.25 + 0.8 - 0.2,{\text{ }}0.6 + 0.2 + 0.05"> <mn>0.25</mn> <mo>+</mo> <mn>0.8</mn> <mo>−</mo> <mn>0.2</mn> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mn>0.6</mn> <mo>+</mo> <mn>0.2</mn> <mo>+</mo> <mn>0.05</mn> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cup B) = 0.85"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∪</mo> <mi>B</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0.85</mn> </math></span>     <strong><em>A1     N3</em></strong></p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A scientist measures the concentration of dissolved oxygen, in milligrams per litre (<em>y</em>) , in a river. She takes 10 readings at different temperatures, measured in degrees Celsius (<em>x</em>).</p>
<p>The results are shown in the table.</p>
<p><img src="data:image/png;base64,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"></p>
<p>It is believed that the concentration of dissolved oxygen in the river varies linearly with the temperature.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find Pearson’s product-moment correlation coefficient, <em>r.</em></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find the equation of the regression line <em>y</em> on <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the equation of the regression line, estimate the concentration of dissolved oxygen in the river when the temperature is 18 °C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>−0.974    (−0.973745…)   <em><strong>(A2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for an answer of 0.974 (minus sign omitted). Award <em><strong>(A1)</strong></em> for an answer of −0.973 (incorrect rounding).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>y</em> = −0.365<em>x</em> + 17.9   (<em>y</em> = −0.365032…<em>x + </em>17.9418…)<em>  </em>  <em><strong>(A1)(A1)  (C4)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for −0.365<em>x</em>, <em><strong>(A1)</strong></em> for 17.9. Award at most <em><strong>(A1)(A0)</strong></em> if not an equation or if the values are reversed (eg <em>y</em> = 17.9<em>x</em> −0.365).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>y</em> = −0.365032… × 18 + 17.9418…     <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituting 18 into their part (a)(ii).</p>
<p>= 11.4 (11.3712…)     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>  (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(ii).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> is normally distributed with a mean of 100. The following diagram shows the normal curve for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_16.32.27.png" alt="M17/5/MATME/SP1/ENG/TZ2/03"></p>
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="R">
  <mi>R</mi>
</math></span> be the shaded region under the curve, to the right of 107. The area of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="R">
  <mi>R</mi>
</math></span> is 0.24.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; 107)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(100 &lt; X &lt; 107)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>100</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(93 &lt; X &lt; 107)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>93</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; 107) = 0.24\,\,\,\left( { = \frac{6}{{25}},{\text{ }}24\% } \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.24</mn>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mn>6</mn>
        <mrow>
          <mn>25</mn>
        </mrow>
      </mfrac>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mn>24</mn>
      <mi mathvariant="normal">%</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>A1</em></strong>     <strong><em>N1</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; 100) = 0.5,{\text{ P}}(X &gt; 100) - {\text{P}}(X &gt; 107)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>100</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.5</mn>
  <mo>,</mo>
  <mrow>
    <mtext> P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>100</mn>
  <mo stretchy="false">)</mo>
  <mo>−</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
</math></span></p>
<p>correct working     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.5 - 0.24,{\text{ }}0.76 - 0.5">
  <mn>0.5</mn>
  <mo>−</mo>
  <mn>0.24</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>0.76</mn>
  <mo>−</mo>
  <mn>0.5</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(100 &lt; X &lt; 107) = 0.26\,\,\,\left( { = \frac{{13}}{{50}},{\text{ }}26\% } \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>100</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.26</mn>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mrow>
          <mn>13</mn>
        </mrow>
        <mrow>
          <mn>50</mn>
        </mrow>
      </mfrac>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mn>26</mn>
      <mi mathvariant="normal">%</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>A1</em></strong>     <strong><em>N2</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2 \times 0.26,{\text{ }}1 - 2(0.24),{\text{ P}}(93 &lt; X &lt; 100) = {\text{P}}(100 &lt; X &lt; 107)">
  <mn>2</mn>
  <mo>×</mo>
  <mn>0.26</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>1</mn>
  <mo>−</mo>
  <mn>2</mn>
  <mo stretchy="false">(</mo>
  <mn>0.24</mn>
  <mo stretchy="false">)</mo>
  <mo>,</mo>
  <mrow>
    <mtext> P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>93</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>100</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>100</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(93 &lt; X &lt; 107) = 0.52\,\,\,\left( { = \frac{{13}}{{25}},{\text{ }}52\% } \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mn>93</mn>
  <mo>&lt;</mo>
  <mi>X</mi>
  <mo>&lt;</mo>
  <mn>107</mn>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.52</mn>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mrow>
          <mn>13</mn>
        </mrow>
        <mrow>
          <mn>25</mn>
        </mrow>
      </mfrac>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mn>52</mn>
      <mi mathvariant="normal">%</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>A1 N2</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In a class of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="30">
  <mn>30</mn>
</math></span> students, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="18">
  <mn>18</mn>
</math></span> are fluent in Spanish, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="10">
  <mn>10</mn>
</math></span> are fluent in French, and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="5">
  <mn>5</mn>
</math></span> are not fluent in either of these languages. The following Venn diagram shows the events “fluent in Spanish” and “fluent in French”.</p>
<p>The values <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
  <mi>m</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
  <mi>q</mi>
</math></span> represent numbers of students.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZkAAAEVCAYAAAAy15htAAAgAElEQVR4Ae2dy4sj2ZXG45/wQisvalu7ojez0io3tejZ9MIGa1EYatELw4AFiWkY8JheCBKMGwwNgnKvBhpBgzHYBcLDUDAkCPdAMyTamXaSYJqmSYTdFIU4wyfppCJDoXjeG/f1BSRSxuPGvb9z7vnuK0KZcCMBEiABEiABSwQyS+kyWRIgARIgARIQigydgARIgARIwBoBiow1tEyYBEiABEjAushkWSb8IwP6AH2APhCvD1RJ6SAiU5UBHiMBEiABEgiXABoPVVv10aorGx6ry0DDZHgaCZAACZCAhwTqYjxFxkOjMUskQAIkEAoBikwolmI+SYAESCBAAhSZAI3GLJMACZBAKAQ6icy71UyeFFeFPZnJ6p0WeyOr2Ti3amwss9VGDz76rMvAo5P5DwmQAAmQQFAE6mL8+TmZ7Y3ML0aSjV7I/Oa+pNBv5XbxoTx5sZDbbcnhw666DJy/kkdIgARIgAR8J1AX42tFZjRdSpnEiHwv6/lHMl9/X8mgLgOVF/MgCZAACZCA1wTqYvxZkdmu53KRPZHJ4uvyAqKn8/wjWd5XdGNEdkNq5QlwLwmQAAmQQOgEOooMeikfSJZ9cL6ncr+Uy8tzvZwjtroMHM/kNxIgARIggdAI1MX4Mz2Zb2Q5fSbZo8n+fNG3cr/8SJ7Pb6S6H8OeTJ4av5MACZBAbAS6icz9UqajTM7Px0CEXp7v5eQo1mUgdyq/kgAJkAAJBEagLsaX9mT2S5gr5mM21zJ7fpVb0nyeSl0Gzl/JIyRAAiRAAr4TqIvxJSLzTu4WLyXLzj37gqGyS3lydtXZYyR1GXh8Nv8jARIgARIIiUBdjC8Rmb2IjLJnMl1+c1pW9GLG/yqz1Xenx0r21GWg5BLuIgESIAESCIRAXYwvERkR2Xwl88lTycZTebW6O0zuv5W71UJmk2cynl1L+fP9p1TqMnB6BfeQAAmQAAmEQqAuxpeLDEq3WctyPpVx7vUyo8lMPl+uGwsMkqnLQCggmU8SIAESIIFTAnUx/rzInKbVaU9dBjolyotIgARIgAS8IFAX4ykyXpiJmSABEiCBMAlQZMK0G3NNAiRAAkEQoMgEYSZmkgRIgATCJECRCdNuzDUJkAAJBEGAIhOEmZhJEiABEgiTAEUmTLsx1yRAAiQQBAGKTBBmYiZJgARIIEwCFJkw7cZckwAJkEAQBCgyQZiJmSQBEiCBMAlQZMK0G3NNAiRAAkEQoMgEYSZmkgRIgATCJECRCdNuzDUJkAAJBEEgOZHZ3r2RK/xMAd4effGRzP7tmWQXc1lvHdhreyerz76Q1f25m+NnrB3mzwES3pIE/CLwVu6uP5HJKJMsG8nF/L/ktcM6ub27ls8Wf5H7s5D8ixmJicz3sp5/kBMVlwY5/Pjb6FKWZ0XmrCfxAAmQwBAEtjcyv3giF/Obw+9muYwZ+3uPGv7q8BB4mtwjMZEpOkjx/ybITJ1DkTFFkumQgDUC90uZjtCDoch0ZZyOyOxaJKP9MNnuh9bw89H/93g46sShgLVMiO5l/frq0IXOCr8QKiK7dJ7JdPHf8no2kdHufk9lcvVG7nYjY4ce1cMPvuWdOG/Kwr1r081fy+8kQAJ9CGzXc7l4qKOZZLtRh7+7iRkn8esDma+/LylePmZoQ3Yqi+s/yEynCUYTubrWXzQuScLwrnREZgcubwDsKPzfSGTeyu3iQxmNL2WxxsjoVjY3r2Qyei6z1Xd78+zSgVOqMfWcvJioA1QNl5Xlry5dwx7C5EggZQInMaGsTubrNWAVzhFTMWOfbvVwWf7ehxiTZTKafCLXd2/RApab+QsZZedEyryxKTL5SbwThypxmN056AV9k7NGYa6nSTrSVWTqHDqXLX4lARLoR+CkLueDuI5a1NRJYzGjq8gUBOWkTP0Q1V1NkWklMtoyKBhNBUNbB6VGLDinXlM58V+4plG6dSbncRIggcYETupc2zppMmZQZBrbLX9incrlz+3/veAgxW7tiUPhjvlr1GGwnLHs7yA+tekgXfZk+tuTKZCAZQIndTkfD5r0ZEzGDIpMJ2sHKTKVvY8mjgdUFJlODsOLSGBIAqZExkjMoMh0Mr33IqOrOvSBzZ3TFedkCoJx4phAU2gBUWQ6+QsvIoFBCZzU5UI9PjmO9iOerRkdn8czFjMoMp1s75XIqBCM/12Wh5UY68WljDE0piIj38lq9lyy/Oqy9UKm42fyYvHX/QNbZY6naT+ko91oDLFtZLOpW47YtIfUyQy8iARIoIzASV0uiIzW60FiRu7e7/4hm3+UvSkkd842H2Ny8eWkTGUFN7evLsZn5m5VnlJdBsqv6ro3bwCkUfxfRDY3spheHOZcLmT66guZn7x6pvCczGgis9dr2Wi2So1Yda/i6hRNqHBN03T1cn6SAAn0I3BS5wp1EqkPFjO2stk1aPG8X3HxkRYznz+KzI7KsCKjhuAnCZAACZDAEATqYnxkPZkhkPIeJEACJEACSoAioyT4SQIkQAIkYJwARcY4UiZIAiRAAiSgBCgySoKfJEACJEACxglQZIwjZYIkQAIkQAJKgCKjJPhJAiRAAiRgnEBCIoM15kuZPzwDg3ePXch0vpT1puyhJuOsTxM8WYN/esqjPW3Pf3SxX/+s12vB35s3b2SxWDz8/fznP5eqv9/97ncP5/7pT3/apYF0/vnPf/pVwMhyA75qM3BvY7P8uXmbBYFoV+fK3lN42PfwcLXL0uSfjXGZj/J7JyIyW9msrmT88PsuBxj6ENX4SlauhKbcLuV7AxOZb7/9dheYEGR+85vf7MQDDoe/999/f/f/r371q0cBC6Kjwaz4+eWXXz46V9P86U9/+vDCUnzXNHH+3/72t3KW3FtKADZTzuAIwVebgS3+V74qHji/aCv9v9iI0DTzNsunibSQB2+2IOocRabSX+pUrvLixgf3Rij9sZ+dExXfRdY44WFP9NzhEdDRUkUggYjAtgggEANtwdoMINraRmBDjwf3fu+993Z/+I6giODH7UgAPMBFWanNwE9tZrOXqA0R3EtthjzAbipmTm3meZ3bW5Iic/Tokm+DiMzhhXWlIlPMk4rO4s/H18sUXxuDa7Z3slrMjj/BnD2VyeyPx6G3h3TO/QRz2bvICq+rwXDeq+vDTzYfzx9Pf5sb9sv/rHOxMHb/R4BAQEcw0GCO7wgYPvUgNJ8Qu7z4+ZZPu9bapw4WKDfshLoHHuACO/pkM+QFecrbTH0LZRhsayQy+oLciXz88eHn1h/euoxh+j8ef/q4WKcPr7YaTT+X69xPuh9/yVJLWkwnH28OIjOeynw+3b9r8dGvYWoabj7rYnwkT/wffv40G8l4+qkslrn3jBW575xqP19zubyV7cPPKz89vgDz8JLM0eSV3OyG2fSdQk/kYn6Te0lmzU8lP3JgddQPZXGLn0mFjr2Wy3HLNIvlMfy/Bikd7kALOLRgraKj4ohAi1a0T0HWpNlQLpRPBRblRgAfNFj3LJD6nYoj/A89MOtleFRHzxVC3xE2kvHla7nbbmVz9/fduwy3twt5MbqQ6eJm/27DzVcynzyT8ez68K7Dg0CgkXr1Zt+g3J3zNPdSXpF9Ok9lMv9qn+4uNoxk33Bulsa53Nven4jIHHoer44qj4KPJjP5fPHnY+8DtA9OdXQC7DyIlE7y7c4pDrEVuqylzll1TuFYmeV3aWYHx9ITGlynp3b8xHAJgpIKiwYpm8MoHbPa6TLMA6DFjN4YAvEgwatTTptfpEEZ5UG5UD6UM4YNfpe3GfwSDR0r/lhaj4sUVWTKY0JxBGW7nsvFwwsuy+qvpqcvwSz8vHvx9vqi34feE04opnFy0WA70hGZB6T3sl5+IYvPc0NdD6/pVpEpOovIY8fYJ7a9W8kXu5VRnx+Hrx4JUfHtygWHeuTAh8UJ2tv6YnUcJtO8PzpfdxbS1N0GPjEWjuAEJ0FFhtBYqcgG8moqCQQvbS2jl4Yyh7Tl86+NgZDy3zav8EfYCLaCn6LMRudwDg07pH3yp3X9XEAvra8aYzQ2lNXfgkDUDvc3SKMtWIPng1vVVn206sqGx+oy0DCZjqe9lbvrT2QyUoOrA9SJzL3czF/ISAVhsZAvVv8rr6fPjl3cUgcrOMPJOW/lbvUH+Xx2GNfdpT+X5fp+X76T87G7kGZHEvnLtNeCFjCGWawPSeRv7sl3BC+0jtET0N6NrwKrgTaf1xRthjKjF6o9UiMNhNI6V3TSgijo4d21JeK0EyyNOWX1t5AeRUaJdvt0KzLIc8HIO8eoFpl9r+a5zFbf5Qpdlo46kp7W5Bw9F4Kz2E8Yaoup1OELaerlLT+LgQoV1Neg2rJovU9H70BXX/k0lAb7aFDVnmbvwkaSAPxXhwrBqLMvl9a5IqSCKOjhM7FED+8/y+pvIb3iL20+TuA0hu2OF9I4uWa4HXUxPoqeTNlQ1xExjPwvhQn7ojjkx0QPxns0/okh0LKfXC2mU3CoWgcu3Kv0/EKax4I1/qaBCpXSSOuv8Z3DOhHDMDosgx5e58DVs9h5cUF+jA4P9cybb5erzdC76SQ2pXWuWMpzAX1fN4tzMvt5X23IltXfYnr5+FO8N/5vkkbZdcPsS0Jk5OEnk6cyf7Sy7LBk+EJ/blmHy8pWhR17LrrS4+Hnljdrea1DXG16HY8ceP+zzo+WLm5vZXl5IaMXC7nFSwkena8OUuZgeqz6U1t7EBe01rk1I9A7cDW7TelZ2iCguJTiObszbzMMgzbeSutc8eqiKOhxnWfNry7b//LuQ51uKBAac3R1mRxiw/5n4ctiwLk8ad6G+0xEZAAUE/7/mVuvvl+mPJ3/XlZ3+yXDO+wHpxpPf308dzyVV6u7/dLk3Uk6l3MYb8VzNItruXl9KSPt4ZQ6Z8EZiuds1rLMrXPPSp+9qekdNfAdVDgMr7Dn0gBWxSn5wGW7B4hGAOwFu+G+3LoRUI6NG1bFOlp626qAXvV8CxIrxIRd+mXplaWzOMSupmmUZt76zoREpiHLRk7VMC3PTsMwC1bfdB468Kw8vmRHe4QQANPP2mAyW+eDbAuZLzyHyAd6M6gHYJviIokhGOs9KDJKQj8jFRmtVBAZVio1trlPnSdBhTI1X4OhMZPpmSttHCnBZvp8FFhzs0OAIlPkGpnIaEu48fBAkQf/b0UAPRm0jsG767AW0kCviENjrdB3Phl20qFI0z3RzpmK6EKKTETGLBZFey+mWtbF9Pn/eQJd2WvvhS3r82xtHEGvBvUEARG242aOAEXGHEtvUsrPvXDVmDuz5HskdS1k9DjRc0GLuu5cdyWK/87aq0FvFPWIW38CFJn+DL1KAQEKgYqVxB+zoIWMSeZzE/doCOA45gcY2NzbLd9I6zrk6b4U/uSAIuOPLXrnBEEMBuVQS2+UxhPIC0k+cdiqSoDy5/L7sAQwbMb61J85RaY/Qy9S0FUybHl5YY7STOiQGIbF8B0r/Tg8VorKm50YGWAvs585KDL9+Dm/Gl17DI0hcHEs37k5ajMAe/3iF7+QH/7wh/KjH/2Iw2O1xNyfAJuhfuEP37m1I0CRacfLq7PV+Tn/4pVZKjOjLeOf/OQnuxYyGwaVuLw5iLqG0QL2PNubhCLTnpkXV2iwguNzC4OA2kznzHQO7dyCgDBKlVYudViajYPmdqfINGflzZkarCgw3pikNiPnBOXc/toEeYIzArAZ5mkoNM1MQJFpxsmbs1Rg+MCYNyapzUidkGCxBleY1WL06oQ6m3qVWceZocg4NkCb26vAwMG5hUGgaTCibcOwZz6XTW2bvybF7xSZQKzOIBSIoXLZbBuEaOMcvEC+wsYcOqs2FkWmmo8XRzX46ISxF5liJioJqM0QhNpsGDpDpWx7XZt78FyzBCg01TwpMtV8nB/F0kksm+Qkv3NTNM5AV4HRGyBooWIiHW5hENAXotJmp/aiyJwy8WaPPgdDgfHGJLUZgc0wfIL3lfXZ2DruQ8/NtainaBDCB7gdCVBkjiy8+4bXjuApY25hEDDdKIBQMWiFYXvNJeuskjh+UmSOLLz6xgDjlTkaZcZGgLGRZqPC8KROBEw3NDplwrOLKDKeGQTZ4VCJh0apyZK+Tdn0UIkGrb7DbzXZ52GDBPDyUwyZ8lm2PVSKjEHnMpFU30ljE3lgGu0I6IowW5O+9Il29vDhbNs+4UMZm+aBItOU1ADnsdU6AGTDt4DNhmi16u/R2BIyw1iYnMjud504pya7lZJVDpFVHTRxrE7lTNwjlDQwJMKJ/lCstc8n3oCNeZMhNvrHEJTN3mNI/zCbc3Op1cV4iow51pUpaUsV47ncwiCAMfehW6pohHB+Jgz/QC6H6un6TIQi44F16IgeGKFlFjBshcqDsfchN1f3HbKMsd0r9QYkRcYDj8ZwC7rV3MIh4LJHgZVsQ/egwrGMnzlF7zPVOk6RceyTaAlj4pjDZI4N0eL2LobJitmDyPFddkUq/v6f8mgFRcahX8Lx0CLlenqHRmh5a30GYuhhsmI2ddiMq82KZPz9X4fNUO9T2igyDq2NlihXkzk0QIdbY2hzqNVkddlLeQimjo2vxzFkltq7CCkyjrwRLWLAd90idlT8IG+rQ5u+tER1CAZviOAWBoEU6z1FxpFvojWcWovGEWpjt/VxHgQCw0UAxkw8SEIYwUhpEQBFZhC3enwT31rEj3PH/8oIaDAvO+Z6n4/i55qJz/dPrQdKkXHgjWjFcGWQA/A9bonegq/DUmy09DCso0t9brSYRkKRMU20Jj0GhBpAHh4OISCw4eKh49RkyeeGS03WWx2myLTC1f9kBoP+DIdOIYRgwMbL0F7R/34hNF76l5IvyDTBsHEaDASNUXlzYkiBgA0Yb9ymcUZCaMA0LsyZE9mTOQPGxm4GARtU7aYZUhBgI8auL9hIPaRGTNfyU2S6kmt5HZ7MxutjfHnGomX2kzw9xACAlWZ8g0RY7oq4gAZCrBtFZiDL4pkYPhczEGxDt0HPM7SAHaIwGjJXsMnE/twMRWYA10TvBaD5EswBYBu6Rcg9Twzx4T1Z3MIgEHt8oMgM4IdoDaNVzC0cAiH3PNEy9uX9auFY3G1O4W+x/hgdRWYA3wpp8ngAHN7fQp/IDvUNx/p+LPacvXe1hwzqoo2HHRF9ochYNqYOu1i+DZM3SADzGqG/HRs9mdDmkwyaMMikYh3mpMhYdkd0gTnhbxmy4eRjCNAxCKVhs3qfXKzDnBQZy66H5YmhDrtYRuNl8rFMwuqQH4fMvHSz0kzpMCdsF9NGkbFoTazwQReYWzgEYuoBoAfNF7GG43vIKYZp4YMxbRQZi9bEUFmsK0YsYnOadAxDZQoQjZzQ55a0LKl8Yh4ttpWBFBmL3hvrRJ5FZE6TjmWoTCHGVh4tV8yfMS4UoshY8tgYncUSKm+SjbHlH1PPzBtHsZwRNE5jes0MRcaSw8TY7bWEyptkY3wgjn7ojXs1zkhsw+wUmcamb3ciWpCxTeC1IxDe2bG1IGEB9qjD88PYetQUGUs+CLBcPmoJroVkdfmohaSdJwnx5DJ652ZonAGdS4tlKTNFprHpm5+ICo2KzS0cAuh1xvp+Oc7LhOOHmlOsCkSPJoaNImPBihwHtwDVcpIYB4/1mRL6o2XnsZB8TP5IkbHgIJhARsXmFg4B9GJiaTkWqWOlEnvWRSp+/x9Tz5oiY8HX0NWNaQmiBUTeJYmKEMsYeBnc2MtXVuaQ92GOEK+kimGjyFiwYh1UC7dkkj0IpLACiw2fHg7i6FLEkRgWD9XFw8w237oM2L6/6fQ5NGGaqP30YhqaOEeL7zE7R8bf/RjCjWFEpC7GU2Ra+mAKAaslEu9Px4R/rJP+Ch/lg9BwC4dALJP/FBnDPpdCwDKMzHlyKSzxRYs41iXazh3IUgZiaRhQZAw7SAoByzAy58nFMixRBTKFeaeq8od4LJaGAUXGsPelELAMI3OeHCpBDBOsdSDrKnvd9Tw+LIFYHuqu8zvOybT0K/4SZktgHpxeVwk8yKKRLNA3jWAcNJEYfLOuDBSZli5VB7RlcjzdMoGUhpHYy7bsTBaSRzwJ/fmtuphIkWnpOHVAWybH0y0TiGXcuwkmikwTSn6dE8PzTXUxkSLTwucQsOAU3MIhkJLI8FmZcPxScxpDw4Aio9Y08JlSwDKAy4skUnp5JJfXe+FyrTJBkWmFq/zkOpUrv8rPvRQZP+1SlauUAm9KZa2yeUjHYngkoi7Gc7ishUfGIzLv5G7xUuAcWfZMpsu/y2a9kOl4JNnoQ1ncvhXZrOX1bCKjbCQX8xvZtuDk06mDBt67hUx2TA/MtneyejWVMfaNr2S1sUtx0LJaNvK71Uye7Fhm8mT2Rr5efbb3zyyT0eQTub57azkHwyQfg80oMgZ9JR6RAZSt3C8vZTSayuJ/Xsn0o9fy9TUq9lhm1zey/OgjmX/1WmZPMhlNl3JvkOOQSQ1eie+XMh1BuNeymn0o08VXsoagjy5leU+RaWX7nWiPZDx5KdOrN3K33cpmdSXjwBs+eQaD+2f+5oa+U2QMgUQycAi8byiO7RtZTp9JNv6xvJh+Jjebt/vezehn8umn/yFXq+9EdgGTPZnm9j4Id/Zj+Xj2M3m5+Kts5cD5Yi5ruxojeK8ehl/i2JTlSMaza9looXY+id7NSt7pvoA/KTIGjFencgZuMVgSMTjEA6ztjcwvRpJlH8h8/b2IBsNMK7VWcj3+cGVQX4a12UZWs/FuGPKh97fj/GSQIce4etoHloUe4HY9lwv2ZLyqg3UxnnMyLcw1bMBqkbEOp+4ra24o7NBCPM4dDNcC75D9xpcMajMVbp3XwqDkLihi+OybxnnuemJUInNg+SDWOyjfyWr2/Dhv2BWUR9cN6p+Wyk2RMQg2nuWwp72UkxZiaSU3CHOgpAatxCfDi4cFFoXWuK2io6zRvO5/Nx+TF+etbG5eyWT0VF7shiFtURw23UH901LRKDIGwcbTUjz0Up7MZLUb2P5e1vMPckNnuRb44vcyn6+OY+IGeQ6R1HCV+FS4H4YgJ7+VxfxTWVpeETVcWW1bTlmqoLyVu+tPZDIayfjytdxZntuyXbp8+jHYjCKTt2jP79GIzEkv5XRobL+EdCTj6ULWlpfe9jRL5eXDVeKDUD8IN8bKDvNeoxcyv7G/Pm+4slYiN3DwOLeFALb7G09lvlwH29g5ByUGm1Fkzlm3w/5oRKZD2UO9BJU4nhWB1VaIIWDtSnjSCKoud8hH8cT/l19+GXIRdo2AqgJw4r+KTuEYRaYAJIB/UYFRkVPYohGZ3dxWfj4mXuvxtTIGbFvXlTJwi8GSSOm18YNBtXyjlBoGMbyiROSt3C4+lFH2UhZ3MTwJU+3gFJlqPo2OxiQyKHBs5WlkxIBPSklkgg9Y71a7N0ygju3/4u/NvP/++4LGa8hbXUzkcFlL69YBbZkcT7dMAD8IlYrNYvhtEsvu4F3yMfhmXRkoMi3djhW5JTAPTq+rBB5k0UgWUM7Qf2XRCIhAEomlAVRXvygyLR0y+CGJluWN4fQYhiSa2KGusjdJg+cMRwBDuTH8CGKd31FkWvoUlsNiFQ+3cAik0DCIJWCF41X9c4oXmsI3Q98oMoYtmNJzF4bROUsuhZ8ljiVgOXMSBzeOZck5Rcaw86S0WskwOmfJoTJH806vMxRjCVhnihfl7jiWnNevuOVwWUv3/fbbb+W9995reRVPd0kghYYBhl3Qm+EWDoFYFhGxJ2PB5wAVYsMtDAKwVV1FCKMk53OJxQ0QU27hEIjFJ+vKwZ5MB59EqzH09w11KHbQl6D3GfpDb+cMEMtS2HPli3E/GgRoGMSwUWQsWJErzCxAtZxkzMNJCFgxLIW17AJeJR/Pb1NxTsaKY6X00kUrAB0kGvPkP8qWypumHbiOlVvGMukPOOzJWHCRFMb4LWBzmmRMwxNFkDH30opljeX/mB4QpshY8kpOtFoCazFZVIYYF2zEWi6LruA0afhgTCtUKTKW3CmFB/wsoXOWbIwt/ph7aM4cxfKNY5qPASqKjCWHwTMJnGy1BNdSsjHOy2AuhvMxlhzGUrIxzccAEUXGkqPoslG+9dYSYAvJxvijc2jocDm9BWexmCSGymIatqXIWHSWGIdfLOLyIumYJly5AMULl2qVCTQIYnk+RgtOkVESFj5jG1u1gMi7JDGXFsvwEv3PO/eqzVBM/qeFpcgoCQuf2pLkkJkFuJaSjKkliaEyvq/MkqNYSjbGN09QZCw5iybLiq4kwvmMoaKzgROOv2lOY2rgaJnwSZHJ07DwHUMWmJvhFg4BDFngL+QNK+WwSolbOARiHCoDfYqMZR/UVWYxrRaxjMx58jGsMsPkMVeVOXelxhmIOU5QZBq7QfcT0aJEy5JbOAQQpEOdz8ADmDE9MR6O13TPaczP1VFkuvtF4ytjHWttDCDAE0Me5ox12CVAN2qc5Zjnbikyjd2g34kht4z7lTzMqzF8EeICAJ3w5/BsOH6nPc9YV6FSZAbyxZBbxgMh8u42IS4A4IS/d25Um6HYe54UmVoXMHOCtozRauEWBoHQegX0sTD8Kp/L0Hwsn/em3ykyTUkZOA9PknNZqQGQAyYR0qIN9pYHdAxDtwqxt9y26BSZtsR6nJ9Cq6UHHi8vDWm8nPN+XrrQ2UylEg8oMmddwM6BFFoudsi5SxUP0/q+BB1LYCEy3MIhkEosoMgM7JPaesEDf9zCIOB7b0bnYkJ9ricMLzCbS40D+Ix9o8g4sDDmZviqGQfge9wS9vL17czoZdGfehjXwaWp9GKAliLjwMG05cmVZg7gd7ylry1P+lJHgzq8DKMYCLwp9GKAmSLjyNnQ+uQYuiP4HW+L1qdvqwORJ/ZiOhrU0WU+94ptIKHI2KDaME2IDJadcguDgG+9htRaxGF4SXUu8YopvEkCvpTKRpFxaGnfJ5QdohIX6jwAAAqjSURBVPH21mgUoHHgQ5BAi9j3VW/eGtJBxuAz8J3UFmhQZBw4W/6WGH7xbQgmnz9+PyWAlxm6Du4+id0pIe4pI5Dqgh+KTJk3DLhPh2D42x8DQu95Kx2mcrUMHRPGGHLhwpGehhzwctgKwdaVzwxY1JNbUWROkAy/A63S1MZph6ds9o7oyaBH42LDMBl7vy7Id7unDpO57v12y33/qygy/RkaSYGBwwjGQRNxMWzGBsmgJjZyMwyTuWqQGClAz0QoMj0Bmrpch81SmxQ0xc9FOjpsNtSwFe7HYTIXlu5+T13ck+IwmVKjyCgJDz51eWPKDumBGVplYagJeDRC0Br29a0DraAlcrI2HOEjKW8UGc+sr11rOCi3MAgMsUIQD12mPOQShic8ziWHwPc8KDKP/cKL/xBMEFS4hUEADQI8/2BrYhdDqBgmS+U1JGFYvTqXbCwe+VBkjiy8+cZutjemaJwRnS8xvRQd6aKSDjXv07jAPPEsAW0UcNh7j4gic9ZV3B7Q4GI6aLktVdx3Nx1c9HmY1Mf0Q/IaW42NkBgU80qRKRLx6H/TQcujokWbFQyTmHjmCb1ZDpuG5SZsFJTbiyJTzsWbvRjn53i8N+ZolBGdpO+zeAMCg4ljbmEQYKPgvJ0oMufZeHPERNDypjCJZAQigb8uQkN7h+UkKjB8C0O53Sgy5Vy828vA451JKjOkgQd2a7PRzm1ouT9X7dy1QeG+BPZzQJGxz9jYHfq0jo1lggk1JqABqKnQ4DwT8zmNM8gTexFQ+1JgqjFSZKr5eHWUTu2VORplRm1WJzQqMFz22gir85PUrhSYelNQZOoZeXUGnBsTwnRur8xSmRkNSBizx/fiBoHBw5wUmCIZP/9Xe7IONrMPRaYZJ+/OQmCCk/MpcO9MU5qhssCEfWrHMvEpTYg7nRIos6PTDAVwc4pMAEY6l0UOsZwj4+d+BCjthd7e3u4aCWwN+2mrslyhpwl7od6xUVBGqHwfRaacSzB79TkavhkgGJPJL3/5S/nBD34g0+mUwSoQs+mT/BAYbu0IUGTa8fLybLwZAIbk60e8NM+jTOnvi6BFjJVksB03vwmwfvWzD0WmHz9vrs63tNiV98YsjzKCRgAqnAqL/n4QfyPmESav/tEhaY4UdDcLRaY7O++uzE9KcqWSP+aBXbCyDD2Xol3wP3o1mKth48Afm2FBDeyCv6LN/MllGDmhyIRhp1a51Jc0cvisFTYrJ2N4DMuTq0QkL0JsMVsxQ6tEtYfJCf5W2M6eTJE5iybsA1pRzj2bEXbpwsg9FmWggjUVewyjobeDRgJ7NcPbGMx1eEyHNIfPRXx3pMjEZ9OHErGF/IBi0C86BNZlqEWHadD74Q+VDWe2fI+Tz56Z5U6RMcvTy9TyvRpWIHsmgqhr7wWffTZdms5eTR+K9dfmey9Ne5z1qfKMPAGKTJ5GxN/zvZq+ATBiTJ2LBiFH76NL7+XcTdEgwFwOlzqfI9RvP0QFbMGYja9+LKuupshU0YnwmA4LICAiMHLrRwBDYyoEtlrCKmC4D4fQ+tkLV4MhGgOsA/1ZNkmBItOEUoTn5FtxDFztDYyWLyaJUYGGGNLSoTi0vLGYgy3vbjbTBgF682DKzT4Biox9xt7eIR+42EpuZqa8uEBkhg72ru/fjJJfZxWZUVyGtQ9FZljeXt6NYlNvlmKgGlpcijks5ocPDBYJ7YfFtLfpokFwmqM091Bk0rR7aanzYoMxaz4rsA9UGJ5CRfExUKnY6AQ259lk57c6LIahTNcNgtLKltBOikxCxm5aVIgNBAYTowheqVVUlB9zVlp+jN/7Hqi0gYA84y+EPDf1xybnwT4os5Yf9gMTbu4JUGTc28DrHGBRgA45oHeDyut7wO0CVIVVey1oCYfak0NvRsuBT5QjxoCrNoOtEMhQVvbkuni/3WsoMnb5RpO6VmgNXjEIToxlyjscyodGAWylQRiCE3IjAXlHGfJ+GKuI5m0Z8neKTMjWc5T3YnDGEAWG1NCKxDGfN/TMMKyigTcGsWzCG8EZgqOtfpQbNgth+Tr8CnlVm0FgYu1RN7FlaOdQZEKzmIf5LQYBDWBoYbpc9YTAirxBVDS4QhAx/Jdy6xcNAXABB/BAEAAfBHLXNoO/IA95UVF/Qp59b8R4WD2dZ4ki49wEcWUAQUB7CwhcGsQQKNACRcBHEME5JgQIQoK0VEwQOFVQdMUVAhaO41xupwRUdFSMwU2Fp2gzEwzVZvAD3BP3KNoM+ykqp7YKcQ9FJkSrBZZnFR4MceSDigYzOKEKAoJN3Z8KF67TYIhrkDb+IDomgmFgmI1mt2gztUneZrCD7q/7zNssb2vYC34Bm+Ge3OIjQJGJz6ZBlgi9GgSapn9BFjKyTDe1Fc4z0WuNDF8yxaHIJGNqFpQESIAEhidAkRmeOe9IAiRAAskQoMgkY2oWlARIgASGJ0CRGZ4570gCJEACyRCgyCRjahaUBEiABIYnQJEZnjnvSAIkQALJEKDIJGNqFpQESIAEhidAkRmeOe9IAiRAAskQoMgkY2oWlARIgASGJ0CRGZ4570gCJEACyRCgyCRjahaUBEiABIYnQJEZnjnvSAIkQALJEKDIJGNqFpQESIAEhidAkRmeOe9IAiRAAskQoMgkY2oWlARIgASGJ0CRGZ4570gCJEACyRCIXGTeyt3qM5mOR5JlT+XF57+XTy9GMpou5T4ZE7OgJEACJOCOQMQicy838xcyyp7KZP6VbOQ7Wc2eS5Y9kcnia3fEeWcSIAESSIhApCKzlc3qSsbZSMaza9nsDPpO7hYvJcs+kPn6+4RMzKKSAAmQgDsCcYrM5lpmGCIbX8lqsz3Q/UaW02eSPZnJ6p074LwzCZAACaREIEqRebeayZNsJBfzG1GJkfulTEcZ52NS8m6WlQRIwDmBCEVGh8XGMlvtB8qE8zHOHY0ZIAESSJNAhCKzlfvl5W7C/8Xir7Ld3sn1r2cy+3giI87HpOnlLDUJkIAzAhGKjIhsvpL55KmgcKPJlbxe38pqNpbsYi7rh/EzZ8x5YxIgARJIhkCcIlM03/ZG5nw+pkiF/5MACZCAdQJpiMzdQibZM5kuv7EOlDcgARIgARI4EohfZLa3sry8kCx7KYs7rl0+mp7fSIAESMA+gYhFRhcAZLu5GRSUQmPfoXgHEiABEsgTiFhk8sXkdxIgARIgARcEKDIuqPOeJEACJJAIAYpMIoZmMUmABEjABQGKjAvqvCcJkAAJJEKAIpOIoVlMEiABEnBBgCLjgjrvSQIkQAKJEKDIJGJoFpMESIAEXBCgyLigznuSAAmQQCIEKDKJGJrFJAESIAEXBCgyLqjzniRAAiSQCAGKTCKGZjFJgARIwAUBiowL6rwnCZAACSRCgCKTiKFZTBIgARJwQYAi44I670kCJEACiRCgyCRiaBaTBEiABFwQoMi4oM57kgAJkEAiBCgyiRiaxSQBEiABFwQoMi6o854kQAIkkAgBikwihmYxSYAESMAFAYqMC+q8JwmQAAkkQoAik4ihWUwSIAEScEHAC5FBJvhHBvQB+gB9IE4fqBK3rOogj5EACZAACZBAHwIUmT70eC0JkAAJkEAlAYpMJR4eJAESIAES6EPg/wEcgaoDAFUxeQAAAABJRU5ErkJggg=="></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q"> <mi>q</mi> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n"> <mi>n</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m"> <mi>m</mi> </math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q = 5"> <mi>q</mi> <mo>=</mo> <mn>5</mn> </math></span>           <em><strong>A1  N1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {18 + 10 + 5} \right) - 30"> <mrow> <mo>(</mo> <mrow> <mn>18</mn> <mo>+</mo> <mn>10</mn> <mo>+</mo> <mn>5</mn> </mrow> <mo>)</mo> </mrow> <mo>−</mo> <mn>30</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="28 - 25"> <mn>28</mn> <mo>−</mo> <mn>25</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="18 + 10 - n = 25"> <mn>18</mn> <mo>+</mo> <mn>10</mn> <mo>−</mo> <mi>n</mi> <mo>=</mo> <mn>25</mn> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n = 3"> <mi>n</mi> <mo>=</mo> <mn>3</mn> </math></span>          <em><strong>A1  N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach for finding <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m"> <mi>m</mi> </math></span> or <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span> (may be seen in part (b))      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="18 - 3"> <mn>18</mn> <mo>−</mo> <mn>3</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3 + p = 10"> <mn>3</mn> <mo>+</mo> <mi>p</mi> <mo>=</mo> <mn>10</mn> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m = 15"> <mi>m</mi> <mo>=</mo> <mn>15</mn> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p = 7"> <mi>p</mi> <mo>=</mo> <mn>7</mn> </math></span>         <em><strong>A1A1  N3</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 20 students travelled to a gymnastics tournament together. Their ages, in years, are given in the following table.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_17.17.22.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01"></p>
</div>

<div class="specification">
<p>The lower quartile of the ages is 16 and the upper quartile is 18.5.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group find the mean age;</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group write down the median age.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a box-and-whisker diagram, for these students’ ages, on the following grid.</p>
<p><img src="images/Schermafbeelding_2018-02-12_om_18.53.31.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01.b"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14 + 2 \times 15 + 7 \times 16 + 17 + 4 \times 18 + 19 + 20 + 3 \times 22}}{{20}}">
  <mfrac>
    <mrow>
      <mn>14</mn>
      <mo>+</mo>
      <mn>2</mn>
      <mo>×</mo>
      <mn>15</mn>
      <mo>+</mo>
      <mn>7</mn>
      <mo>×</mo>
      <mn>16</mn>
      <mo>+</mo>
      <mn>17</mn>
      <mo>+</mo>
      <mn>4</mn>
      <mo>×</mo>
      <mn>18</mn>
      <mo>+</mo>
      <mn>19</mn>
      <mo>+</mo>
      <mn>20</mn>
      <mo>+</mo>
      <mn>3</mn>
      <mo>×</mo>
      <mn>22</mn>
    </mrow>
    <mrow>
      <mn>20</mn>
    </mrow>
  </mfrac>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for correct substitutions into mean formula.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="( = ){\text{ }}17.5">
  <mo stretchy="false">(</mo>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>17.5</mn>
</math></span>     <strong><em>(A1)     (C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>16.5     <strong><em>(A1)     (C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2018-02-12_om_18.54.55.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01.b/M">     <strong><em>(A1)(A1)(A1)</em>(ft)</strong><em>     <strong>(C3)</strong></em></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(A1) </em></strong>for correct endpoints, <strong><em>(A1) </em></strong>for correct quartiles, <strong><em>(A1)</em>(ft) </strong>for their median. Follow through from part (a)(ii), but only if median is between 16 and 18.5. If a horizontal line goes through the box, award at most <strong><em>(A1)(A1)(A0)</em></strong>. Award at most <strong><em>(A0)(A1)(A1) </em></strong>if a ruler has not been used.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>In a high school, 160 students completed a questionnaire which asked for the number of&nbsp;people they are following on a social media website. The results were recorded in the&nbsp;following box-and-whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The following incomplete table shows the distribution of the responses from these 160 students.</p>
<p><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for the 100 &lt; <em>x</em> ≤ 150 group.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the table, calculate an estimate for the mean number of people being followed on the social media website by these 160 students.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>180   <em><strong>(A1) (C1)</strong></em><br><strong>[1 mark]</strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>36, 24     <em><strong>(A1)(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A0)(A1)</strong></em> for two incorrect values that add up to 60.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>125 (accept 125.5)    <em><strong> (A1)</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{4 \times 25 + 36 \times 75 + 34 \times 125 + 46 \times 175 + 24 \times 225 + 16 \times 275}}{{160}}">
  <mfrac>
    <mrow>
      <mn>4</mn>
      <mo>×</mo>
      <mn>25</mn>
      <mo>+</mo>
      <mn>36</mn>
      <mo>×</mo>
      <mn>75</mn>
      <mo>+</mo>
      <mn>34</mn>
      <mo>×</mo>
      <mn>125</mn>
      <mo>+</mo>
      <mn>46</mn>
      <mo>×</mo>
      <mn>175</mn>
      <mo>+</mo>
      <mn>24</mn>
      <mo>×</mo>
      <mn>225</mn>
      <mo>+</mo>
      <mn>16</mn>
      <mo>×</mo>
      <mn>275</mn>
    </mrow>
    <mrow>
      <mn>160</mn>
    </mrow>
  </mfrac>
</math></span>     <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution of their mid-interval values, multiplied by their frequencies, into mean formula.</p>
<p>=156 (155.625)     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C3)</strong></em></p>
<p><strong>Note:</strong> Follow through from parts (b) and (c)(i).</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The histogram shows the time, <em>t</em>, in minutes, that it takes the customers of a restaurant to eat their lunch on one particular day. Each customer took less than 25 minutes.</p>
<p>The histogram is incomplete, and only shows data for 0 ≤ <em>t</em> &lt; 20.</p>
<p><img 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"></p>
</div>

<div class="specification">
<p>The mean time it took <strong>all</strong> customers to eat their lunch was estimated to be 12 minutes.</p>
<p>It was found that <em>k</em> customers took between 20 and 25 minutes to eat their lunch.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for 10 ≤ <em>t</em> &lt; 15.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the total number of customers in terms of<em> k</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the value of <em>k</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, complete the histogram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>12.5     <em><strong>(A1) (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>33 + <em>k</em>  <strong>OR</strong>  10 + 8 + 5 + 10 + <em>k</em>    <em><strong> (A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for “number of customers = 33 + <em>k</em>”.</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2.5 \times 10 + 7.5 \times 8 +  \ldots  + 22.5 \times k}}{{33 + k}} = 12">
  <mfrac>
    <mrow>
      <mn>2.5</mn>
      <mo>×</mo>
      <mn>10</mn>
      <mo>+</mo>
      <mn>7.5</mn>
      <mo>×</mo>
      <mn>8</mn>
      <mo>+</mo>
      <mo>…</mo>
      <mo>+</mo>
      <mn>22.5</mn>
      <mo>×</mo>
      <mi>k</mi>
    </mrow>
    <mrow>
      <mn>33</mn>
      <mo>+</mo>
      <mi>k</mi>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>12</mn>
</math></span>     <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the mean formula and equating to 12, <strong><em>(A1)</em>(ft)</strong> for their correct substitutions.</p>
<p>(<em>k</em> =) 7     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C4)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (b)(i) and their mid-interval values, consistent with part (a). Do not award final <strong><em>(A1)</em></strong> if answer is not an integer.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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"><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C1)</strong></em></p>
<p><strong>Note:</strong> Follow through from their part (b)(ii) but only if the value is between 1 and 10, inclusive.</p>
<p><em><strong>[1 mark]</strong></em></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 10 girls recorded the number of hours they spent watching television during a particular week. Their results are summarized in the box-and-whisker plot below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The group of girls watched a total of 180 hours of television.</p>
</div>

<div class="specification">
<p>A group of 20 boys also recorded the number of hours they spent watching television that same week. Their results are summarized in the table below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The following week, the group of boys had exams. During this exam week, the boys spent half as much time watching television compared to the previous week.</p>
<p>For this exam week, find</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The range of the data is 16. Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that the girls in this group spent watching television that week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the total number of hours the group of boys spent watching television that week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that <strong>all 30</strong> girls and boys spent watching television that week.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the mean number of hours that the group of boys spent watching television.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>valid approach       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    16 + 8,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span> − 8</p>
<p>24 (hours)       <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    20 − 15,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{Q_3} - {Q_1}"> <mrow> <msub> <mi>Q</mi> <mn>3</mn> </msub> </mrow> <mo>−</mo> <mrow> <msub> <mi>Q</mi> <mn>1</mn> </msub> </mrow> </math></span>,  15 − 20</p>
<p>IQR = 5       <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct working      <em><strong>(A1)</strong></em></p>
<p><em>eg</em>    <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{180}}{{10}}"> <mfrac> <mrow> <mn>180</mn> </mrow> <mrow> <mn>10</mn> </mrow> </mfrac> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{180}}{n}"> <mfrac> <mrow> <mn>180</mn> </mrow> <mi>n</mi> </mfrac> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\sum x }}{{10}}"> <mfrac> <mrow> <mo>∑</mo> <mi>x</mi> </mrow> <mrow> <mn>10</mn> </mrow> </mfrac> </math></span></p>
<p>mean = 18 (hours)      <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to find total hours for group B     <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\bar x \times n"> <mrow> <mover> <mi>x</mi> <mo stretchy="false">¯</mo> </mover> </mrow> <mo>×</mo> <mi>n</mi> </math></span></p>
<p>group B total hours = 420  (seen anywhere)     <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to find sum for combined group (may be seen in working)      <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    180 + 420,  600</p>
<p>correct working        <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{180 + 420}}{{30}}"> <mfrac> <mrow> <mn>180</mn> <mo>+</mo> <mn>420</mn> </mrow> <mrow> <mn>30</mn> </mrow> </mfrac> </math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{600}}{{30}}"> <mfrac> <mrow> <mn>600</mn> </mrow> <mrow> <mn>30</mn> </mrow> </mfrac> </math></span></p>
<p>mean = 20 (hours)    <em><strong>A1 N2</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach to find the new mean     <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2}\mu "> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>μ</mi> </math></span>,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2} \times 21"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>×</mo> <mn>21</mn> </math></span> </p>
<p>mean <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = \frac{{21}}{2}"> <mo>=</mo> <mfrac> <mrow> <mn>21</mn> </mrow> <mn>2</mn> </mfrac> </math></span> (= 10.5) hours    <em><strong>A1 N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.i.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<br><hr><br><div class="specification">
<p>In a group of 20 girls, 13 take history and 8 take economics. Three girls take both history and economics, as shown in the following Venn diagram. The values <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
  <mi>q</mi>
</math></span> represent numbers of girls.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_08.39.12.png" alt="M17/5/MATME/SP1/ENG/TZ1/01"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
  <mi>p</mi>
</math></span>;</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
  <mi>q</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A girl is selected at random. Find the probability that she takes economics but not history.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <em><strong>(M1)</strong></em></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p + 3 = 13,{\text{ }}13 - 3">
  <mi>p</mi>
  <mo>+</mo>
  <mn>3</mn>
  <mo>=</mo>
  <mn>13</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>13</mn>
  <mo>−</mo>
  <mn>3</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p = 10">
  <mi>p</mi>
  <mo>=</mo>
  <mn>10</mn>
</math></span>     <em><strong>A1</strong></em>     <em><strong>N2</strong></em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <em><strong>(M1)</strong></em></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p + 3 + 5 + q = 20,{\text{ }}10 - 10 - 8">
  <mi>p</mi>
  <mo>+</mo>
  <mn>3</mn>
  <mo>+</mo>
  <mn>5</mn>
  <mo>+</mo>
  <mi>q</mi>
  <mo>=</mo>
  <mn>20</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>10</mn>
  <mo>−</mo>
  <mn>10</mn>
  <mo>−</mo>
  <mn>8</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q = 2">
  <mi>q</mi>
  <mo>=</mo>
  <mn>2</mn>
</math></span>     <em><strong>A1</strong></em>     <em><strong>N2</strong></em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <em><strong>(M1)</strong></em></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="20 - p - q - 3,{\text{ }}1 - \frac{{15}}{{20}},{\text{ }}n(E \cap H') = 5">
  <mn>20</mn>
  <mo>−</mo>
  <mi>p</mi>
  <mo>−</mo>
  <mi>q</mi>
  <mo>−</mo>
  <mn>3</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>1</mn>
  <mo>−</mo>
  <mfrac>
    <mrow>
      <mn>15</mn>
    </mrow>
    <mrow>
      <mn>20</mn>
    </mrow>
  </mfrac>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mi>n</mi>
  <mo stretchy="false">(</mo>
  <mi>E</mi>
  <mo>∩</mo>
  <msup>
    <mi>H</mi>
    <mo>′</mo>
  </msup>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>5</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{{20}}\,\,\,\left( {\frac{1}{4}} \right)">
  <mfrac>
    <mn>5</mn>
    <mrow>
      <mn>20</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>4</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <em><strong>A1</strong></em>     <em><strong>N2</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A set of data comprises of five numbers&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{x_{1\,}}{\text{,}}\,\,{x_2}{\text{,}}\,\,{x_3}{\text{,}}\,\,{x_4}{\text{,}}\,\,{x_5}">
  <mrow>
    <msub>
      <mi>x</mi>
      <mrow>
        <mn>1</mn>
        <mspace width="thinmathspace"></mspace>
      </mrow>
    </msub>
  </mrow>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>3</mn>
    </msub>
  </mrow>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>4</mn>
    </msub>
  </mrow>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>5</mn>
    </msub>
  </mrow>
</math></span>&nbsp;which have been placed in ascending order.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Recalling definitions, such as the Lower Quartile is the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{n + 1}}{4}th">
  <mfrac>
    <mrow>
      <mi>n</mi>
      <mo>+</mo>
      <mn>1</mn>
    </mrow>
    <mn>4</mn>
  </mfrac>
  <mi>t</mi>
  <mi>h</mi>
</math></span> piece of data with the data placed in order, find an expression for the Interquartile Range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, show that a data set with only 5 numbers in it cannot have any outliers.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Give an example of a set of data with 7 numbers in it that does have an outlier, justify this fact by stating the Interquartile Range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: 10.5pt;font-family: 'Verdana',sans-serif;color: black;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="LQ = \frac{{{x_1} + {x_2}}}{2}{\text{,}}\,\,UQ = \frac{{{x_4} + {x_5}}}{2}{\text{,}}\,\,IQR = \frac{{{x_4} + {x_5} - {x_1} - {x_2}}}{2}">
  <mi>L</mi>
  <mi>Q</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>1</mn>
        </msub>
      </mrow>
      <mo>+</mo>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>2</mn>
        </msub>
      </mrow>
    </mrow>
    <mn>2</mn>
  </mfrac>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mi>U</mi>
  <mi>Q</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>4</mn>
        </msub>
      </mrow>
      <mo>+</mo>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>5</mn>
        </msub>
      </mrow>
    </mrow>
    <mn>2</mn>
  </mfrac>
  <mrow>
    <mtext>,</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mi>I</mi>
  <mi>Q</mi>
  <mi>R</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>4</mn>
        </msub>
      </mrow>
      <mo>+</mo>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>5</mn>
        </msub>
      </mrow>
      <mo>−</mo>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>1</mn>
        </msub>
      </mrow>
      <mo>−</mo>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>2</mn>
        </msub>
      </mrow>
    </mrow>
    <mn>2</mn>
  </mfrac>
</math></span>       <strong><em><span style="font-family: 'Verdana',sans-serif;">M1A1</span></em></strong></span></p>
<p style="text-align: start;"><strong><em><span style="font-size: 10.5pt;font-family: 'Verdana',sans-serif;color: black;">[2 marks]</span></em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="UQ + 1.5IQR = 1.25{x_4} + 1.25{x_5} - 0.75{x_1} - 0.75{x_2} \geqslant {x_5}">
  <mi>U</mi>
  <mi>Q</mi>
  <mo>+</mo>
  <mn>1.5</mn>
  <mi>I</mi>
  <mi>Q</mi>
  <mi>R</mi>
  <mo>=</mo>
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>4</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>5</mn>
    </msub>
  </mrow>
  <mo>−</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo>−</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mo>⩾</mo>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>5</mn>
    </msub>
  </mrow>
</math></span>      <strong><em>M1A1</em></strong></p>
<p>Since <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1.25{x_4} + 0.25{x_5} \geqslant 0.75{x_1} + 0.75{x_2}">
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>4</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>0.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>5</mn>
    </msub>
  </mrow>
  <mo>⩾</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
  </mrow>
</math></span> due to the ascending order. <strong>     <em>R1</em></strong></p>
<p>Similarly <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="LQ - 1.5IQR = 1.25{x_1} + 1.25{x_2} - 0.75{x_4} - 0.75{x_5} \leqslant {x_1}">
  <mi>L</mi>
  <mi>Q</mi>
  <mo>−</mo>
  <mn>1.5</mn>
  <mi>I</mi>
  <mi>Q</mi>
  <mi>R</mi>
  <mo>=</mo>
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mo>−</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>4</mn>
    </msub>
  </mrow>
  <mo>−</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>5</mn>
    </msub>
  </mrow>
  <mo>⩽</mo>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>1</mn>
    </msub>
  </mrow>
</math></span>      <strong><em>M1A1</em></strong></p>
<p>Since <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.25{x_1} + 1.25{x_2} \leqslant 0.75{x_3} + 0.75{x_4}">
  <mn>0.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>1</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>1.25</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
  </mrow>
  <mo>⩽</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>3</mn>
    </msub>
  </mrow>
  <mo>+</mo>
  <mn>0.75</mn>
  <mrow>
    <msub>
      <mi>x</mi>
      <mn>4</mn>
    </msub>
  </mrow>
</math></span> due to the ascending order.</p>
<p>So there are no outliers for a data set of 5 numbers.      <strong><em>AG</em></strong></p>
<p><strong><em>[5 marks]</em></strong></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For example 1, 2, 3, 4, 5, 6, 100 where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="IQR = 4">
  <mi>I</mi>
  <mi>Q</mi>
  <mi>R</mi>
  <mo>=</mo>
  <mn>4</mn>
</math></span>     <strong><em>A1A1</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>For a study, a researcher collected 200 leaves from oak trees. After measuring the lengths of the leaves, in cm, she produced the following cumulative frequency graph.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.29.13.png" alt="M17/5/MATSD/SP1/ENG/TZ2/06"></p>
</div>

<div class="specification">
<p>The researcher finds that 10% of the leaves have a length greater than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> cm.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median length of these leaves.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of leaves with a length less than or equal to 8 cm.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the graph to find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Before measuring, the researcher estimated <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> to be approximately 9.5 cm. Find the percentage error in her estimate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>9 (cm)     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>40 (leaves)     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(200 \times 0.90 = ){\text{ }}180">
  <mo stretchy="false">(</mo>
  <mn>200</mn>
  <mo>×</mo>
  <mn>0.90</mn>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>180</mn>
</math></span> or equivalent     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for a horizontal line drawn through the cumulative frequency value of 180 and meeting the curve (or the corresponding vertical line from 10.5 cm).</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(k = ){\text{ }}10.5{\text{ (cm)}}">
  <mo stretchy="false">(</mo>
  <mi>k</mi>
  <mo>=</mo>
  <mo stretchy="false">)</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>10.5</mn>
  <mrow>
    <mtext> (cm)</mtext>
  </mrow>
</math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Accept an error of ±0.1.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left| {\frac{{9.5 - 10.5}}{{10.5}}} \right| \times 100\% ">
  <mrow>
    <mo>|</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mn>9.5</mn>
          <mo>−</mo>
          <mn>10.5</mn>
        </mrow>
        <mrow>
          <mn>10.5</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>|</mo>
  </mrow>
  <mo>×</mo>
  <mn>100</mn>
  <mi mathvariant="normal">%</mi>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Notes:</strong>     Award <strong><em>(M1) </em></strong>for their correct substitution into the percentage error formula.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{9.52 (% ) }}\left( {{\text{9.52380}} \ldots {\text{ (% )}}} \right)">
  <mrow>
    <mtext>9.52 (% ) </mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mtext>9.52380</mtext>
      </mrow>
      <mo>…</mo>
      <mrow>
        <mtext> (% )</mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em>(ft)</strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Notes:</strong>     Follow through from their answer to part (c)(i).</p>
<p>Award <strong><em>(A1)(A0) </em></strong>for an answer of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - 9.52">
  <mo>−</mo>
  <mn>9.52</mn>
</math></span> with or without working.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Applicants for a job had to complete a mathematics test. The time they took to complete the test is normally distributed with a mean of 53 minutes and a standard deviation of 16.3. One of the applicants is chosen at random.</p>
</div>

<div class="specification">
<p>For 11% of the applicants it took longer than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> minutes to complete the test.</p>
</div>

<div class="specification">
<p>There were 400 applicants for the job.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that this applicant took at least 40 minutes to complete the test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the number of applicants who completed the test in less than 25 minutes.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>0.787 (0.787433…, 78.7%)     <strong><em>(M1)(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for a correct probability statement, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; 40)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mn>40</mn>
  <mo stretchy="false">)</mo>
</math></span>, or a correctly shaded normal distribution graph.</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-02-13_om_13.12.51.png" alt="N17/5/MATSD/SP1/ENG/TZ0/13.a/M"></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>73.0 (minutes) (72.9924…)     <strong><em>(M1)(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for a correct probability statement, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X &gt; k) = 0.11">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mo stretchy="false">(</mo>
  <mi>X</mi>
  <mo>&gt;</mo>
  <mi>k</mi>
  <mo stretchy="false">)</mo>
  <mo>=</mo>
  <mn>0.11</mn>
</math></span>, or a correctly shaded normal distribution graph.</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-02-13_om_13.16.45.png" alt="N17/5/MATSD/SP1/ENG/TZ0/13.b/M"></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.0423433 \ldots  \times 400">
  <mn>0.0423433</mn>
  <mo>…</mo>
  <mo>×</mo>
  <mn>400</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Award <strong><em>(M1) </em></strong>for multiplying a probability by 400. Do not award <strong><em>(M1) </em></strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.11 \times 400">
  <mn>0.11</mn>
  <mo>×</mo>
  <mn>400</mn>
</math></span>.</p>
<p>Use of a lower bound less than zero gives a probability of 0.0429172….</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 16">
  <mo>=</mo>
  <mn>16</mn>
</math></span>     <strong><em>(A1)     (C2)</em></strong></p>
<p> </p>
<p><strong>Notes:     </strong>Accept a final answer of 17. Do not accept a final answer of 18. Accept a non-integer final answer either 16.9 (16.9373…) from use of lower bound zero or 17.2 (17.1669…) from use of the default lower bound of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="-{10^{99}}">
  <mo>−</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mn>99</mn>
      </mrow>
    </msup>
  </mrow>
</math></span>.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A large company surveyed 160 of its employees to find out how much time they spend&nbsp;traveling to work on a given day. The results of the survey are shown in the following&nbsp;cumulative frequency diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtMAAAL+CAYAAABvxpjZAAAgAElEQVR4AezdC3hUxfn48TeIFDTeIrYNYquIQVtFBBKs0Kpog9gLNNZLsUKr2NoiWqhcAlT/Wi4iFKuBVitQiT+1iEForQgF1DZ4CVdFkaR4aYOhrRIVI2CEnP8zKwlLdpN5s5ndPWf3u89D2ZyZ877vfM5RJ9uzMxme53nCCwEEEEAAAQQQQAABBFos0KbFZ3ACAggggAACCCCAAAIIhASYTHMjIIAAAggggAACCCAQowCT6RjhOA0BBBBAAAEEEEAAASbTB+6BPXv2SEZGhuTl5Yl5zwsBBBBAAAEEEEAAAZsAk+kDQsuWLWuwWrRoUcN73iCAAAIIIIAAAggg0JRABqt5iFRXV8vxxx8fMiotLZV+/frJzp07JSsrqyk3jiOAAAIIIIAAAgggIEymRWTs2LFSUVEhS5cuFbNS4PXXXy/HHXec3HXXXdwiCCCAAAIIIIAAAgg0KZD2k2kzie7WrZuUl5eH/jaT6fpjGzdulB49ejSJRwMCCCCAAAIIIIBAeguk/WR68ODBoS8dTpgwIfQFxPo9bKZOnSplZWWyZMmS9L5DGD0CCCCAAAIIIIBAkwJp/QXEFStWhB7tuOGGGyKAzLGqqipZvHhxRBsHEEAAAQQQQAABBBAwAmk7mTbL302aNElKSkqiftHQfPlw/Pjxcuedd7JUHv+sIIAAAggggAACCEQVaBv1aJocHDp0qAwcOLDJ0Zq2mpqaJttpQAABBBBAAAEEEEhvgbR/Zjr88ptNW+qfmQ4/znsEEEAAAQQQQAABBKIJpO1jHtEwOIYAAggggAACCCCAQEsEmEy3RIu+CCCAAAIIIIAAAgiECTCZDsPgLQIIIIAAAggggAACLRFI8mS6TmoqnpXFj8+UYV0nyOpddc3WXrdjvSw1fTtlSEanQ/vX7SiTBeMGhNaK7jRsjpTtqG02Fo0IIIAAAggggAACCLRWIKmT6bqKB+Wq2/8oJTeNkeLdzQ2lVnaUzZEf9/qRLH77JBn27IfiVU2V/kcfKL+mTGYNuUPKB8yX/d4nsn7YezJuyBxZX9P85Ly5jLQhgAACCCCAAAIIIGAT8MFqHnulYv5Q6Tapq6zaOvngBLmh8jqpWX+PfOc7m+S7S+6Um/OyGy2O/dn5F5TfIFun95ejQ+e9J6vHDZLp3ebJsmtPb9S/IXDEG1bziCDhAAIIIIAAAggggEAzAkn9ZLqZug421ayT+255WLrMviPKRFpE6t6W0oUb5KxunSSz4aws6T3gfNm88HnZxofTDSq8QQABBBBAAAEEEHAr4PPJ9F6peGymjJGLpG/dIvmxeVY64ywZNnO5VBx4hKNu2/OycMWx0uPkjpGfQK94Wkq37XUrRjQEEEAAAQQQQAABBA4I+HsyfeBT5wvyzpSz+94kC6r2y0ev3yIy68fy0/vWSY3USc32bbJZuki3zgc/l+bqIoAAAggggAACCCCQCAF/T6ZrqqR887GSN2Cg9MpuJyJtJPP0K2Xi5H7y7JiZ8lgFnzon4iYhBwIIIIAAAggggEB0gbbRD/vjaN1/3pZNO0R6HFJOe+na7xLJl99J+fbdktm5q5wlK6R8e41ITvtDekb7oU+fPtEONxyztTd05A0CCCCAAAIIIIBAiwXq6upk9+7dsmvXLvniF78oa9eubXEMX53gJf21xyufd7kn2YXeqg/3H1rNh6u8sdnZXv68173wlv3l87x8udybV77H8/a/7s3LP88bu+rdsHMPxMyf55WHnxjWI9pbEYl2+JBjTzzxxCE/R/vB1sfWbmJq+uTl5UVL33BME8NFH00MW62aMWvyuOjjotZEjsdWrwsTV+Ox1eoqj23MO3fu9NasWWPSNflyUasmj61WU6Cmj61eTQwXfTQxbLUat7KysiavjdbEVosmj61WV7XYatXmsdVry8M9G/22s7lqro/5d86uXbuiJzhw1HZ9NHlc1KrJE0utGzdu9IqKirzc3FzPzLmmTJni9ezZs1mTIDT6+zGPo7vLgGs6yeY1W2RHw6ocB56Tzr9E+nVtL9LmZOl35Yny0PJXZFfDryk1sr38Hcm/8jzp6u8RNlTMGwQQQACBgwKffvrpwR/i+C5ReeI4BEIHSCAd77fq6mopLi6WwYMHyznnnCMvv/yy3H333aFPpidMmCBt2/r6IQnV3eXzqWZHueCmCTJw2W0y4cFXpcashLfjBZm34F8yemqB5ISqby85V9wio8tmyZ2r35E6qZUdq+fIr8u+L1OvyIlc4UPFQicEEEAAAQQQQACBWAT27Nkja9askQULFsjxxx8vixcvlqFDh8rOnTvlgQcekL59+0qHDh1iCe3Lc5I7md61WsZ16iDdrlsksmOaXHRMZxkwf6s0fAhtvnJ44mC559mZctZzP5CjMjLksCF/lqybZsroXsceBM3Mk9GPFMoJCy6RwzJOliHLu8jMR0ZIr8zkDu9ggbxDAAEEEEAAAQRSW2D79u0ye/ZsOf/886Vfv35ywgknyMaNG2XJkiVSUFAgWVlZKQmQ3Nnm0f1lepVnHlQ+8KdKlkfsWNhGMnMGyC0LNn/W55npMqxX410QRdpk95VRoT5V8sz0aw6s/pGS14xBIYAAAggggAACvhCo/xT6+uuvl5NOOin0GMfkyZNDj3Fceuml0qPHoctI+KJox0UE/0EVxyCEQwABBBBAAAEEEGhewDyyYT6FNs9Dm5d5jKOyslI6d+7c/Ikp2MpkOgUvKkNCAAEEEEAAAQTiIWCehX7wwQdl7ty5Mnz48NCXCXv27JlSz0C31C25j3m0tFr6I4AAAggggAACCCRUoH5Fjry8vNCz0GeffbbMmTMnJb9MGAtshlm/L5YTU/GcjIwMeeKJJwIztGnTpklhYWEg6qXW+F0mbONjGyRXIxCkeqk1Pvcs9wGuru+Bqqoqef755+Xhhx8WM5G+8MILxXwK3a6d2ZXazcv8++Cll15yEyxZUYKwGHaiamTTlujStoXZbe0mqotF5DV5XPRxUasZs60WW7smhsbWVR5bHFu7plbNmDV5bH00G1O4uA80eWy1akw0tq7y2OLY2jW1JspNk8fFfaC5hho3TR9bvbYYGhNbDM14NfeBqzy2OLZ2Ta2aMZtNW4xvcy9NLbY+tntAU2tpaWnov9tmXjRmzBjP/Nz4ZatDk8f00dTbOLfffuYxj2T9FkNeBBBAAAEEEEDAJwJmVQ6zHnT4oxzmC4V33XVXaF1on5TpyzKYTPvyslAUAggggAACCCAQfwHzPLRZleOII46QO++8U8aPH9+wrF06rswRiziT6VjUOAcBBBBAAAEEEAiwQEVFhYwdOza0Q+HKlSultLRUysrKQpurpNLuhIm4REymE6FMDgQQQAABBBBAwAcC9dt8d+vWLVRN/Q6FZotvXrEJMJmOzY2zEEAAAQQQQACBwAiYSfTgwYMbtvkuLy8PPQ+dDjsUxvsiMZmOtzDxEUAAAQQQQACBJAmET6IvvvhiMTsXmm2+c3JyklRR6qVlMp1615QRIYAAAggggEAaCzRemaN+En3jjTdKVlZWGsvEZ+hs2hLmyqYtYRiO37JJg2PQsHDYhmE4fBskVzPsINVLrQ5v1EahsG0E4ujHoLjW1tbKpEmTpH4/vssuu8z5JiuOSBvCGFs2bfHbytmtqIdNW6Lj2RZmt7WbqJpF2W1xbO0mj4s+LmrV1OKiVo2tqzy2OLZ2Ta2JctNsTOHiPtDk0bhp+tjq1cRw0UcTw1Zrotw0eWy1au5ZTR+Nm6aPrV5bDI2JLYZmvKZPa2vV5rHVa2vX1KqpJZ6btuzevdsrKSnxcnNzvSOPPDL03hxr6qUZs62PrV1jYvrY7oOmxuCn420bfjXgDQIIIIAAAggggEBgBMzjHMuWLQutD22KNmtEm096CwoKAjOGVCiUyXQqXEXGgAACCCCAAAJpJWC+WDhjxgypqqoKTaIHDhwoZn3o6dOnp5WDHwbLZNoPV4EaEEAAAQQQQAABhcDWrVtDS9wtXbpUFixYIJdffnloEq04lS5xEmA1jzjBEhYBBBBAAAEEEHAlsGnTptAkurCwUOpX5xg6dCgTaVfArYjDZLoVeJyKAAIIIIAAAgjEU6B+2+9zzjknNIkuLi4WlriLp3jLYzOZbrkZZyCAAAIIIIAAAnEVqK6ulqlTp0r9tt9mx0IziT7qqKPimpfgLRdgnekwM9aZDsNw/DYoa3SaYQep1qDVGyTbINXKfeD4X1hh4bgPwjAcvw2SbSJrNWtFr1y5Uh544AHJy8uTYcOGSadOndT6iaxVXVQzHU29rDPtp4X+WlkL60xHB7StJWlrN1E160ja4tjaTR4XfVzUqqnFRa0aW1d5bHFs7ZpaE+WmWUvXxX2gyaNx0/Sx1auJ4aKPJoat1kS5afLYatXcs5o+GjdNH1u9thgaE1sMzXhNn9bWqs1jq9fWrqlVU4tmnelx48aF1ooeNGiQV1paasJGvGz12lxNQFsMTR8XMUweTb0RCD47wGoezfy2RBMCCCCAAAIIIBBvgfpl7l577bXQ0nb1y9zFOy/x3QjwzLQbR6IggAACCCCAAAItEti+fbuMHTtW+vXrF/py4a233hracMWsF80rOAJMpoNzragUAQQQQAABBFJAwOxcOHv2bDnppJNCo+HLhcG+qDzmEezrR/UIIIAAAgggECCBFStWyKRJk0IVl5aWSt++fQNUPaVGE2AyHU2FYwgggAACCCCAgEOByspKue++++Shhx6SkpIS4bloh7hJDsVjHkm+AKRHAAEEEEAAgdQVqH+k46qrrpJjjz1Wdu7cyXPRKXa5+WQ6xS4ow0EAAQQQQAABfwjUP9Jh1ol+8MEH5Tvf+Y5kZWX5oziqcCbApi1hlGzaEobh+G2QFpEPUq3mMgWpXmp1/A9WWDhswzAcvg2Sqxl2kOpN5VrNp89PPvmkLFmyRG666abQc9Ht2rVzeGc2HSpIrvX3LJu2+Gzh7NaUw6Yt0fVsC7Pb2k1UzaLstji2dpPHRR8XtWpqcVGrxtZVHlscW7um1kS5aTamcHEfaPJo3DR9bPVqYrjoo4lhqzVRbpo8tlo196ymj8ZN08dWry2GxsQWQzNe06e1tWrz2Oq1tWtqra9l9+7dXklJiWfmE2PGjPEqKytNU+il2bRFU4utj83VFGOLoenjIobJo6k3BOjj/+Exj6Z/uaMFAQQQQAABBBBQCVRVVckPfvADMX8vX75c8vPzVefRKfgCfAEx+NeQESCAAAIIIIBAkgTqv2A4YsQIycvLk6effpqJdJKuRbLS8sl0suTJiwACCCCAAAKBFti0aZP85Cc/CY1h1qxZMmrUqECPh+JjE+CT6djcOAsBBBBAAAEE0lTAfBo9depUOeecc2To0KHy3HPPySmnnJKmGgybT6a5BxBAAAEEEEAAAaVA/afRZrk7sw14Tk6O8ky6paoAn0yn6pVlXAgggAACCCDgTCD80+gbb7xRHn30USbSznSDHYhPpoN9/ageAQQQQAABBOIssHv3bjn//POFT6PjDB3Q8Gm3aUufPn2avFRlZWWhb+I22YEGBBBAAAEEEEgbgbq6OvnPf/4j27dvly9/+ctywgknSJs2/J/6rm8ANm3x8SLaLS2NTVuii9kWZre1m6iaRdltcWztJo+LPi5q1dTiolaNras8tji2dk2tiXLTbEzh4j7Q5NG4afrY6tXEcNFHE8NWa6LcNHlstWruWU0fjZumj61eWwyNiS2GZrymT2tr1eax1dtUe3l5uTdo0CAvNzfXO/PMM026Zl9Nxak/iU1b6iUO/dt2Hxza258/8euV61+viIcAAggggAACgRYoLi6Wbt26hf7farNSxxFHHBHo8VB8fAV4Zjq+vkRHAAEEEEAAgYAImMc5br/9dnn55ZfZxTAg18wPZfLJtB+uAjUggAACCCCAQFIFVqxYIQUFBaEa2MUwqZcicMmZTAfuklEwAggggAACCLgSqK2tDW3AMmDAADFL3j3wwAOSlZXlKjxx0kCAxzzS4CIzRAQQQAABBBCIFDCPdfzmN78Rz/PYgCWShyNKAT6ZVkLRDQEEEEAAAQRSR2Dx4sVy0kknhdaONl8yZCfD1Lm2iR5J2q0z3RxwRkZG6LfTJUuWNNfNN23Tpk2TwsJC39TTXCHU2pxO69qwbZ1fU2cHydWMIUj1UmtTd13rj2NrNzSPdZjdC81/62+77Tbp0aOH9SRcrUQxdzC2rDPtzyX/YqqKdaajs9nWzrS1m6iadSRtcWztJo+LPi5q1dTiolaNras8tji2dk2tiXLTrKXr4j7Q5NG4afrY6tXEcNFHE8NWa6LcNHlstWruWU0fjZumj61eWwyNiS2GZrymT2tr1eYJr7eysjK0brRZP9q818aw1aqJwzrTIe6I/9HYRpzkswM85hHz71KciAACCCCAAAJBETCrdZjHOgYPHhz6ZLpz585BKZ06fS7AZNrnF4jyEEAAAQQQQCB2gfDVOkpKSmTChAnSoUOH2ANyJgKNBFjNoxEIPyKAAAIIIIBAagiY1TrMUncffvghq3WkxiX15Sj4ZNqXl4WiEEAAAQQQQKA1AmvWrGnYhIXVOlojybk2AT6ZtgnRjgACCCCAAAKBEiguLpZhw4ZJUVGRmGejeawjUJcvcMXyyXTgLhkFI4AAAggggEA0gT179sjYsWNDE+nS0tLQjobR+nEMAZcCfDLtUpNYCCCAAAIIIJAUAfN8tNkOvKqqSiorK0OfSCelEJKmnQCbtoRdcjZtCcNw/JYF7x2DhoXDNgzD4dsguZphB6leanV4ozYKla62b731lvzud7+Tk08+Wa6//npp165dI5nW/Ziurq1T051tbNm0xWcLZ7emHDZtia4XvuB9tB62dnOOZlF2Wxxbu8njoo+LWjW1uKhVY+sqjy2OrV1Ta6LcNBtTuLgPNHk0bpo+tno1MVz00cSw1ZooN00eW62ae1bTR+Om6WOr1xZDY2KLoRmv6dPaWuvzLF++3DP//S4qKjKHIl62em3tJqCtVtPHFodNWyIuTeiAxjb6mf45ymMeul+c6IUAAggggAACPhN46qmnQkvfLV++XPLz831WHeWkiwCT6XS50owTAQQQQACBFBEwXzS86aab5Nlnn5WNGzdKjx49UmRkDCOIAkymg3jVqBkBBBBAAIE0Faj/oqEZ/vjx45lIp+l94KdhszSen64GtSCAAAIIIIBAkwIVFRWhjVhOOOEEefTRR+X4449vsi8NCCRKgMl0oqTJgwACCCCAAAIxC5gdDbt16yZDhw6Ve++9l41YYpbkRNcCTKZdixIPAQQQQAABBJwKLF68WPr16xfa0dCsJc2Ohk55CdZKAZ6ZbiUgpyOAAAIIIIBA/ARmz54tI0eOFLOjYd++feOXiMgIxCjApi1hcGzaEobh+C0L3jsGDQuHbRiGw7dBcjXDDlK91OrwRm0UKpVsa2tr5c9//nNoQ4/rrrtOTj/99EajTdyPqeSaODVdJmPLpi3+WTO71ZWwaUt0QttC9LZ2E1WzKLstjq3d5HHRx0Wtmlpc1KqxdZXHFsfWrqk1UW6ajSlc3AeaPBo3TR9bvZoYLvpoYthqTZSbJo+tVs09q+mjcdP0sdVri6ExscXQjNf0aa7W3bt3exdffLGXm5vrVVZWmu5RXy5q0cRortb6wmxx2LSlXurQvzW2h57hv594zEP3ixO9EEAAAQQQQCABAtXV1TJu3Dh5++235ZlnnpHOnTsnICspEIhdgC8gxm7HmQgggAACCCDgUMCsIX3JJZeEIk6ZMoWJtENbQsVPgMl0/GyJjAACCCCAAAJKATORLigokLPPPju09F27du2UZ9INgeQKMJlOrj/ZEUAAAQQQSHuB+on04MGDWUM67e+G4AEwmQ7eNaNiBBBAAAEEUkbAbMZy0kknhTZjmTBhAmtIp8yVTZ+BMJlOn2vNSBFAAAEEEPCVgJlIh2/G4qviKAYBpQDrTIdBsc50GIbjt6zR6Rg0LBy2YRgO3wbJ1Qw7SPVSq8MbtVGoINlOnDhRtmzZItdff71ceumljUbirx+D5BqkWs1VNvWyzrT/lvuLuSLWmY5OZ1s709ZuomrWkbTFsbWbPC76uKhVU4uLWjW2rvLY4tjaNbUmyk2zlq6L+0CTR+Om6WOrVxPDRR9NDFutiXLT5LHVqrlnNX00bpo+tnptMTQmthia8ZaWlnrmv7lFRUWme9SXizwmsC2Ord3EsLlq8rDOdNTLrLKNfqZ/jib5MY86qal4VhY/PlOGdZ0gq3fVWX4VrZV3Ft8onQbMl4pGXet2lMmCcQPEfLrcadgcKdtRa4lFMwIIIIAAAggkWqD+0Y6vfOUrcuONNyY6PfkQcC6Q1Ml0XcWDctXtf5SSm8ZI8W772OreeVJuvXGO7GjctaZMZg25Q8oHzJf93ieyfth7Mm7IHFlf02jG3fg8fkYAAQQQQACBhAnUT6RLS0slMzMzYXlJhEA8BZI6mW6Tc608+fD9ctvky+1jNBPmCX+Xjt88s1HfvVLx2EyZlTdaxvc/UdpIO8nuP0J+lfe4THisQphON+LiRwQQQAABBJIgED6R7tu3bxIqICUC8RFI6mRaP6QPZP19j4jc9HMZ8MXPHXpa3dtSunCDnNWtkxz8HTdLeg84XzYvfF62MZs+1IufEEAAAQQQSLAAE+kEg5MuoQIBmEzXSc36YrlXhsgNvbIicOq2PS8LVxwrPU7uKBGDWfG0lG7bG3EOBxBAAAEEEEAgMQJMpBPjTJbkCUTMP5NXShOZa9bJffeK3HRD77BPnuv71knN9m2yWbpIt84HP5eub+VvBBBAAAEEEEieABPp5NmTOXECPp9MfyDrH1gtXabeIL0yfV5q4q4ZmRBAAAEEEPC9ABNp318iCnQk4INNW/ZKxfyh0m1SV1m1dbL0P7p+0mwe7/iDTP3XQJlc8OUDj3C8J6vHXSIXbfq5lC+7VnLaiNRVzJeB3X4nPVY9LdP7dzzAUie7Vk+S0y/aJpPLi+XanPYNXH369Gl43/hNWVmZ5OXlNT7MzwgggAACCCDQAoGamprQhixm+TtW7WgBXJp2ZdOWVq+Zvccrn3e5J9mF3qoP94dFe9dbNbZXaFF3s7B75J9sL3/e697+/a978/LP88auejfs3AMx8+d55eEhw3pEe8umLdFU/LPgvWZhfRd9XCzObyRttdjaNTFMH1u9rvLY4tjaNbVqxqzJY+uj2ZjC5qqpVZPHVqsmj8bWVR5bHFu7ptZEuWnyuLgPNNdQ46bpY6vXFkNjYotRvyFLSUmJGXqTr9bWagLbatH00cSw1arJw6Yt0W8FjW30M/1ztP5jYB/+LtRR+k9fJ57nhf15V1aN7SWSP0/K91fJ8mtPlzZtTpZ+V54oDy1/RXY1jKJGtpe/I/lXniddfTzChnJ5gwACCCCAQAoI1D/aYbYILygoSIERMQQE7AIpMNVsLzlX3CKjy2bJnavfkTqplR2r58ivy74vU6/IiVzhw25CDwQQQAABBBBooUD9RLqoqEguvfTSFp5NdwSCK5DcyfSu1TKuUwfpdt0ikR3T5KJjOsuA+VtbvtFKZp6MfqRQTlhwiRyWcbIMWd5FZj4ygi8tBve+pHIEEEAAgQAJbN++XUaNGiVmIs0W4QG6cJTqRKCtkyixBjm6v0yv8mS6+vwDj35E6d8mu6+MWrBZRi2I0sghBBBAAAEEEIiLgJlIm0c6hg4dykQ6LsIE9btAcj+Z9rsO9SGAAAIIIIBAkwL1E+mzzz6biXSTSjSkugCT6VS/wowPAQQQQACBOAjs2bMnNIE2E+l77703DhkIiUAwBHywzrR/oDIyMuSJJ57wT0GWSqZNmyaFhYWWXv5optb4XQds42MbJFcjEKR6qTU+92wi74Pa2lp54IEHQgMxK3e0a9euxYPiPmgxmeqEILmaAZl6WWfaP8v8tboS1pmOTmhbg9PWbqJq1pG0xbG1mzwu+rioVVOLi1o1tq7y2OLY2jW1JspNs5aui/tAk0fjpuljq1cTw0UfTQxbrYly0+Sx1aq5ZzV9NG6aPrZ6bTE0JgsXLvSGDx/u5ebmeqZ/tJctjzmntbVqXDV9XNSqycM600Yp8mW7DyLP8N8RHvNQ/Z5HJwQQQAABBBAwAitXrpSXX35ZFi9eLFlZWaAgkPYCyV3NI+35AUAAAQQQQCA4ArNnzw493lFZWSmdO3cOTuFUikAcBfhkOo64hEYAAQQQQCBVBMymLCNHjgw948pEOlWuKuNwIcAn0y4UiYEAAggggEAKC9Tvbrh8+XLZvXt3Co+UoSHQcgE+mW65GWcggAACCCCQNgLhuxvm5+enzbgZKAJaASbTWin6IYAAAgggkGYC9ZuyDB48mE1Z0uzaM1y9AJNpvRU9EUAAAQQQSBsBsynL7bffLmZTllGjRqXNuBkoAi0VYNOWMDE2bQnDcPw2SIvIB6lWc5mCVC+1Ov4HKywctmEYDt8GydUM22W9CxYskFdffVWmTJkS06YstsvgslZbrta2U2trBZs+39iyaYv/1s6OuSI2bYlOZ1vQ3tZuomoWZbfFsbWbPC76uKhVU4uLWjW2rvLY4tjaNbUmyk2zMYWL+0CTR+Om6WOrVxPDRR9NDFutiXLT5LHVqrlnNX00bpo+tnptMepNioqKQpuyVFZWmvIPedlimM6aPq2tVZvHVout3eSx1aqphU1bjFLkS2MbeZa/jrCaR9O/LNGCAAIIIIBA2gls3rw5tAReaWkpa0mn3dVnwLEI8Mx0LGqcgwACCCCAQAoKvPHGG3LDDTdISUmJ9O3bNwVHyJAQcC/AZNq9KRERQAABBBAInIBZueOnP/2pjB49WgoKCgJXPwUjkCwBJtPJkicvAggggAACPhGoX7njzDPPlG9/+9s+qYoyEAiGAM9MB+M6USUCCCCAAAJxE7j77h18VVIAACAASURBVLvl5ZdflkcffVT++9//xi0PgRFIRQEm06l4VRkTAggggAACSoHFixfLxIkTpbKyUo444ggm00o3uiFQL8BjHvUS/I0AAggggECaCWzatEkuu+wyYeWONLvwDNepAJu2hHGyaUsYhuO3LHjvGDQsHLZhGA7fBsnVDDtI9VKrwxu1UaiW2O7cuVPuvPNOufDCC+XSSy9tFCn+P7ak1vhX03wGam3epzWtxpZNW/y1bnarqmHTluh8tgXtbe0mqmZRdlscW7vJ46KPi1o1tbioVWPrKo8tjq1dU2ui3Oo3pjD5mnq5uA80eTRumj62ejUxXPTRxLDVmig3TR5breb+0YzZ1sfWrs1jq7c+z+7du73hw4eH/pj39S+NSX2M+nOi/a3po601Wvz6Y5o8tj62dpPLVqvpY4vDpi31V+3QvzW2h57hv594Zro1v05xLgIIIIAAAgEUmDdvXugLh08//bR06NAhgCOgZAT8I8Bk2j/XgkoQQAABBBCIu8CKFStCOxyWl5dLVlZW3PORAIFUF+ALiKl+hRkfAggggAACBwTMc9IDBgwI7XCYk5ODCwIIOBBgMu0AkRAIIIAAAgj4XcBszPKHP/xBxowZww6Hfr9Y1BcoASbTgbpcFIsAAggggEBsArfddlvoxNtvvz22AJyFAAJRBXhmOioLBxFAAAEEEEgdAbMxy4wZM2Tu3Ll84TB1Lisj8YkA60yHXQjWmQ7DcPyWNTodg4aFwzYMw+HbILmaYQepXmp1eKM2ChXNtqqqSkaMGCHmk+kePXo0OiN5P0arNXnVNJ+ZWpv3aU2rsWWdaf8t9xdzRawzHZ3Otnamrd1E1awjaYtjazd5XPRxUaumFhe1amxd5bHFsbVrak2Um2YtXRf3gSaPxk3Tx1avJoaLPpoYtloT5abJY6tVc89q+mjcNH0a12vWkB40aJA3ZcoUU4b135EaE00dmj6Naw0VGPY/mhgu+mhi2GrV2LLOdNjFDXursQ3r7su3PDPdml+nOBcBBBBAAAEfC9x9991iPpkeNWqUj6ukNASCLcAz08G+flSPAAIIIIBAVAGznvTEiRPFrCfNxixRiTiIgBMBPpl2wkgQBBBAAAEE/COwfft21pP2z+WgkhQXYDKd4heY4SGAAAIIpJeAWU/aLH/HetLpdd0ZbfIEeMwjefZkRgABBBBAwLnAokWL5OWXX5ann37aeWwCIoBApACT6UgTjiCAAAIIIBBIgd27d8uwYcNk48aNkpWVFcgxUDQCQRPgMY+gXTHqRQABBBBAIIqAebzjrbfekqKiIl+tJx2lVA4hkFICabdpS58+fZq8gGVlZZKXl9dkOw0IIIAAAgj4VcAsgffxxx/LqaeeKm3a8FmZX68TdUUKsGmLL5fPjq0oNm2J7mZb0N7WbqJqFmW3xbG1mzwu+rioVVOLi1o1tq7y2OLY2jW1JspNszGFi/tAk0fjpuljq1cTw0UfTQxbrYly0+Sx1aq5ZzV9NG7N9Vm+fLln/hvWvXt3k67JV3MxzEkaE1sME0fTx2arieGijyaGrVbNmNm0JfptqbGNfqZ/jvKra+QvSBxBAAEEEEAgMALV1dUyadIkKSkpkfbt2wembgpFIFUEmEynypVkHAgggAACaSlw5513ytlnny0FBQVpOX4GjUCyBVjNI9lXgPwIIIAAAgjEKLB48WKZMWOGVFZWxhiB0xBAoLUCfDLdWkHORwABBBBAIAkCZpfDyy67LPR4R+fOnZNQASkRQMAIMJnmPkAAAQQQQCCAAmaXw+HDh/N4RwCvHSWnlgCPeaTW9WQ0CCCAAAJpIGAe75g7dy6Pd6TBtWaI/hfgk2n/XyMqRAABBBBAoEGg/vGO5cuXC493NLDwBoGkCaTdpi3NSWdkZMgTTzzRXBdftU2bNk0KCwt9VVNTxVBrUzKtP45t6w2jRQiSq6k/SPVSa7Q7Tn9szpw5kpmZGdo2vPFZ2DYWcfMzrm4co0Uxtmza4p81s1tdCZu2RCe0LWhvazdRNYuy2+LY2k0eF31c1KqpxUWtGltXeWxxbO2aWhPlptmYwsV9oMmjcdP0sdWrieGijyaGrdZEuWny2GrV3LOaPho306ekpCS0OUtlZaUJG/Gy1WvLozGxxTBFafq0tlZtHlsttnaTx1arphY2bTFKkS+NbeRZ/jrCM9PRfk3iGAIIIIAAAj4T+Oijj6SoqIjVO3x2XSgHAZ6Z5h5AAAEEEEAgAALmS4dszhKAC0WJaSfAJ9Npd8kZMAIIIIBA0ARWrFghS5YsYfWOoF046k0LAT6ZTovLzCARQAABBIIqsGfPHpk0aZLcdNNNrN4R1ItI3SktwGQ6pS8vg0MAAQQQCLrA3XffLZ06dZK+ffsGfSjUj0BKCvCYR0peVgaFAAIIIJAKAps2bZKJEydKeXm5bNmyJRWGxBgQSDkB1pkOu6SsMx2G4fgta3Q6Bg0Lh20YhsO3QXI1ww5SvdSqu1Fra2vlN7/5jZx22mny/e9/X3UStiqmFnfCtcVk6hOMLetM+2upv1ZVwzrT0flsa3Da2k1UzTqStji2dpPHRR8XtWpqcVGrxtZVHlscW7um1kS5adbSdXEfaPJo3DR9bPVqYrjoo4lhqzVRbpo8tlo196ymTzQ3s6Z0bm6ut3v3bhNC9e83W73R8oSCH/gfjYktRqJq1eax1WtrN3lsrppaWGfaKEW+NLaRZ/nrCI95qH93oiMCCCCAAAKJEQjfMrxDhw6JSUoWBBCISYAvIMbExkkIIIAAAgjET+Dee++VMWPGSH5+fvySEBkBBJwI8Mm0E0aCIIAAAggg4EZgzZo1MmPGDNaUdsNJFATiLsAn03EnJgECCCCAAAI6AbOm9KhRo2TBggWsKa0joxcCSRdgMp30S0ABCCCAAAIIfCawaNGi0JvLL78cEgQQCIgAj3kE5EJRJgIIIIBAaguYLx0OGzZMSktLhS8dpva1ZnSpJcAn06l1PRkNAggggEBABeq/dMhOhwG9gJSdtgJs2hJ26dm0JQzD8VsWvHcMGhYO2zAMh2+D5GqGHaR6qTXyRt26dasUFhbK3Llz5fjjj4/soDyCrRKqhd1wbSFYC7obWzZt8de62a2qhk1bovPZFrS3tZuomkXZbXFs7SaPiz4uatXU4qJWja2rPLY4tnZNrYly02xM4eI+0OTRuGn62OrVxHDRRxPDVmui3DR5bLVq7llbH7MpS9euXb2ioiLTtcmXC1tbDI2JLYYZgKaPzVYTw0UfTQxbrZoxs2lL9FtbYxv9TP8c5TGPFvz2RFcEEEAAAQRcCyxbtiwU8rrrrnMdmngIIJAAASbTCUAmBQIIIIAAAtEEqqur5bLLLpOrr76aLx1GA+IYAgEQYDIdgItEiQgggAACqSlw3333yaBBg6RHjx6pOUBGhUAaCLA0XhpcZIaIAAIIIOA/gYqKCpk4caKUl5fLli1b/FcgFSGAgEqAT6ZVTHRCAAEEEEDArYDZMnzMmDGSk5PjNjDREEAgoQJ8Mp1QbpIhgAACCCAgsmbNmtAyeDt37oQDAQQCLsAn0wG/gJSPAAIIIBAsgT179sioUaNkwYIFkpWVFaziqRYBBCIE2LQljIRNW8IwHL9lwXvHoGHhsA3DcPg2SK5m2EGqN91rffHFF6WkpESmTJki7dq1c3jXch84xQwLlu73bBiF87fGlk1bWrVm9n7vo/JnvJJFM7yhpxZ6qz7cHxnto3JvxYyhXraIJ5LtXTC22FtX9UlEv/1VL3kPjs33zMYr2UNney9F6RNxUqMDbNrSCOTAj7YF7W3tJoxmUXZbHFu7yeOij4taNbW4qFVj6yqPLY6tXVNrotw0G1O4uA80eTRumj62ejUxXPTRxLDVmig3TR5brZp7NryPyZmbm+uVlJSYww0vjZumj61eWwyNiS2GGZSmT2tr1eax1WJrN3lstWpqYdMWoxT50thGnuWvI0l9zKOu4kG56vY/SslNY6R4d5Rfdur+JUsfWC3y3SKp8jzZX7VIvvufu6T3kDmyvqbu4Ak1ZTJryB1SPmC+7Pc+kfXD3pNxjfsc7M07BBBAAAEEkiLwyCOPSKdOnaSgoCAp+UmKAALuBZI6mW6Tc608+fD9ctvky6OOrO6t7XLMFdfKN3OODrW3ye4rN08cJfnPPiyPlVUfOGevVDw2U2bljZbx/U+UNtJOsvuPkF/lPS4THquQsCl31BwcRAABBBBAIBECZoOWkSNHhlbwSEQ+ciCAQGIEkjqZtg2xzal95YITD32erM0XT5Ye2WFn1r0tpQs3yFndOklmw+Es6T3gfNm88HnZxmy6QYU3CCCAAALJE7jzzjtl+PDh0rdv3+QVQWYEEHAu4OvJdJOjPeJc6dPts0+r67Y9LwtXHCs9Tu4oEYNZ8bSUbtvbZBgaEEAAAQQQSIRAVVWV1K8rnYh85EAAgcQJRMw/E5c6lkx1smvds7LphqGSH/rEuk5qtm+TzdJFunU++Ll0LJE5BwEEEEAAgXgJ/O1vf2ODlnjhEheBJAsEa9OWmnXyhwUdZeqc3mGPdCRZkPQIIIAAAgg0I7Bp0yZZsmRJaNvwZrrRhAACARXwwTrTe6Vi/lDpNqmrrNo6Wfof3dSH5R/I+rvvkZcHjpJrT//sEQ9jXlcxXwZ2+530WPW0TO/f8cBlqJNdqyfJ6Rdtk8nlxXJtTvuGy9OnT5+G943flJWVSV5eXuPD/IwAAggggEDMAv/85z/l6KOPli984Qsxx+BEBFJZgHWmW73U3x6vfN7lnmQ3sc50KP4n3vYlv/cefP3DyGz7X/fm5Z/njV31bljbgZj587zyKEtXh3U85C3rTB/C0fCDbQ1OW7sJpFlH0hbH1m7yuOjjolZNLS5q1di6ymOLY2vX1JooN81aui7uA00ejZumj61eTQwXfTQxbLUmyk2Tx1ar7Z4tLS0N7X9QXFxsujb50rhp+tjqtcXQmNhimEFq+rS2Vm0eWy22dpPHVqumFtaZNkqRL41t5Fn+OtLUx8A++gWoVnasni+PHfUduabhE+ldsnXBQ/LsrjqRNidLvytPlIeWvyK7Gqquke3l70j+ledJ1wCMsKFs3iCAAAIIpJSA+dJhUVGRHHXUUSk1LgaDAAIHBXw+1dwlFYv/nwy56Gcy+qLOclhGhpgtvzMyjpEzHvlUOmWa8ttLzhW3yOiyWXLn6nekTszke478uuz7MvWKnMgVPg6OnXcIIIAAAgjETWDNmjWydOlSGTJkSNxyEBgBBJIvkNzJ9K7VMq5TB+l23SKRHdPkomM6y4D5Ww9stFIr7yyeIBdcNk2ejXDKPvRT58w8Gf1IoZyw4BI5LONkGbK8i8x8ZIT0Ck22I07mAAIIIIAAAnEXqP9UOisrK+65SIAAAskTSO5qHkf3l+lVnkyPOv52cmLBbKnyZkdtbXzQ7I44asFmGbWgcQs/I4AAAgggkFiBxYsXi1lb+rrrrktsYrIhgEDCBZL7yXTCh0tCBBBAAAEE4iuwZ88eMbsdjh8/Xjp06BDfZERHAIGkCzCZTvoloAAEEEAAgVQSWLZsWWg4AwcOTKVhMRYEEGhCgMl0EzAcRgABBBBAoKUCfCrdUjH6IxB8AR9s2uIfRLNSiOd5oZ2q/FNV05VMmzZNCgsLm+7goxZqjd/FwDY+tkFyNQJBqjeVa33xxRelpKREpkyZIu3atYvPzdlM1FS2bWbYcW/CNX7ExpZNW/y1bnarqmHTluh8tgXtbe0mqmZRdlscW7vJ46KPi1o1tbioVWPrKo8tjq1dU2ui3DQbU7i4DzR5NG6aPrZ6NTFc9NHEsNWaKDdNHlut4ffs7t27vdzcXK+kpMQcPuRlc7G1m2CaPrZ6bTE0JrYYiapVm8dWr63d5LG5amph0xajFPnS2Eae5a8jPOYRv1+2iIwAAgggkEYCPCudRheboSIQJsBkOgyDtwgggAACCMQiwLPSsahxDgKpIcBkOjWuI6NAAAEEEEiiAJ9KJxGf1AgkWYDJdJIvAOkRQAABBIIvUFxczLrSwb+MjACBmASYTMfExkkIIIAAAgh8JrB161ZZunSpsK40dwQC6SnAZDo9rzujRgABBBBwJPDEE09IUVERux068iQMAkETaBu0gqkXAQQQQAABvwisWbNGysrKpP6Zab/URR0IIJA4ATZtCbNm05YwDMdvWfDeMWhYOGzDMBy+DZKrGXaQ6k2lWs1Yzj77bLn00ksd3n2xh0ol29gV3J+Jq3vT+ojGlk1b/LVudquqYdOW6Hy2Be1t7SaqZlF2Wxxbu8njoo+LWjW1uKhVY+sqjy2OrV1Ta6LcNBtTuLgPNHk0bpo+tno1MVz00cSw1ZooN02e5motLS31zH83iouLza3b7MvmYms3wTV9mqtXE0NjoqlD06e1tWrGo+njolZNHjZtMUqRL9t9EHmG/47wzHT9r0b8jQACCCCAQAsEzJcOzbPSRx11VAvOoisCCKSaAJPpVLuijAcBBBBAIO4CFRUVMmPGDMnPz497LhIggIC/BZhM+/v6UB0CCCCAgA8F5s6dK2PGjJGcnBwfVkdJCCCQSAFW80ikNrkQQAABBAIvsH379tCn0uXl5YEfCwNAAIHWC/DJdOsNiYAAAgggkEYCS5YskeHDh/OpdBpdc4aKQHMCfDLdnA5tCCCAAAIIhAlUV1fLyJEjpbS0NOwobxFAIJ0FWGc67OqzznQYhuO3rNHpGDQsHLZhGA7fBsnVDDtI9Qa51meeeUZefPFFKSwsdHi3uQsVZFt3Cu4j4eretD6isWWdaf8t9xdzRawzHZ3Otganrd1E1awjaYtjazd5XPRxUaumFhe1amxd5bHFsbVrak2Um2YtXRf3gSaPxk3Tx1avJoaLPpoYtloT5abJE17r7t27vdzcXG/58uXmVm14acZs62NrN8k0fcLrbSgw7I0thsbEFiNRtWrz2Oq1tZs8NldNLawzbZQiXxrbyLP8dYRnput/NeJvBBBAAAEEmhGo3zL861//ejO9aEIAgXQTYDKdblec8SKAAAIIxCRQXFwsN954o3To0CGm8zkJAQRSU4DJdGpeV0aFAAIIIOBQYM2aNWJ2PPz2t7/tMCqhEEAgFQSYTKfCVWQMCCCAAAJxFXjwwQdDW4dnZWXFNQ/BEUAgeAIsjRe8a0bFCCCAAAIJFDBbh5sdD9mkJYHopEIgQAJ8Mh2gi0WpCCCAAAKJF1ixYgVbhyeenYwIBEaAT6YDc6koFAEEEEAg0QL79u1jk5ZEo5MPgYAJsGlL2AVj05YwDMdvWfDeMWhYOGzDMBy+DZKrGXaQ6g1Srb/85S+lY8eOvt2kpfEtHyRbam189dz8HCTX+n93sWmLv9bNblU1bNoSnc+2oL2t3UTVLMpui2NrN3lc9HFRq6YWF7VqbF3lscWxtWtqTZSbZmMKF/eBJo/GTdPHVq8mhos+mhi2WhPlZstjNmk58sgjvZKSEnNrNvnSjNnWx9Zukmv62GxtMWwm2jpseUyc1tbqqhYXtWpqYdMWoxT5st0HkWf47wjPTLv5RZAoCCCAAAIpJrBhwwb5+OOPZeDAgSk2MoaDAAIuBZhMu9QkFgIIIIBAygjMmDFDvvzlL7NJS8pcUQaCQHwEmEzHx5WoCCCAAAIBFjDL4ZlNWo477rgAj4LSEUAgEQJMphOhTA4EEEAAgUAJ1C+H165du0DVTbEIIJB4ASbTiTcnIwIIIICAjwWqq6tDy+ENGjTIx1VSGgII+EWAybRfrgR1IIAAAgj4QuDZZ5+V3Nxc6du3ry/qoQgEEPC3AJNpf18fqkMAAQQQSLBAcXGxjB8/PsFZSYcAAkEVSLtNW/r06dPktSorK5O8vLwm22lAAAEEEEhtgZqaGtmyZYv07NlT2rZlk+DUvtqMzi8CbNriv7WzY66ITVui09kWtLe1m6iaRdltcWztJo+LPi5q1dTiolaNras8tji2dk2tiXLTbEzh4j7Q5NG4afrY6tXEcNFHE8NWa6LcouUZM2aMN2XKFHMrhl62Wk0nzZhtfWzt2jy2em15opl8JnHwf20xElWrNo+tXlu7yWNz1dTCpi1GKfKlsY08y19H+LXbL7+WUQcCCCCAQFIFzBcPzdrSGzduTGodJEcAgWAJ8Mx0sK4X1SKAAAIIxEngySefFLOCR48ePeKUgbAIIJCKAkymU/GqMiYEEEAAgRYLzJ49W4YOHdri8zgBAQTSW4DJdHpff0aPAAIIICAia9askbVr18rAgQPxQAABBFokwGS6RVx0RgABBBBIRQGzdXhRUZF06NAhFYfHmBBAII4CfAExjriERgABBBDwvwBfPPT/NaJCBPwskHbrTDd3MTIyMsTzPFmyZElz3XzTNm3aNCksLPRNPc0VQq3N6bSuDdvW+TV1dpBczRiCVK/fan3mmWfkxRdfjPrvU7/V2tT9Wn88SPVSa/1Vc/t3kFzNyE29rDPtr6X+WlUN60xH57OtwWlrN1E160ja4tjaTR4XfVzUqqnFRa0aW1d5bHFs7ZpaE+WmWUvXxX2gyaNx0/Sx1auJ4aKPJoat1kS51efJzc31SkpKzO0X8bLVak7QjNnWx9auzWOr15an3iQCIuyALUaiatXmsdVrazd5bK6aWlhn2ihFvjS2kWf56wjPTLv9hZBoCCCAAAIBEti8eXPoi4cXXHBBgKqmVAQQ8JMAk2k/XQ1qQQABBBBIqIDZoGXKlCmSlZWV0LwkQwCB1BHgC4ipcy0ZCQIIIIBACwTef/99uf/++9nxsAVmdEUAgUgBPpmONOEIAggggEAaCJi1pc844wx2PEyDa80QEYinAJPpeOoSGwEEEEDAtwILFy6Uyy67zLf1URgCCARDgMl0MK4TVSKAAAIIOBSoqKiQp556Svr27eswKqEQQCAdBZhMp+NVZ8wIIIBAmgusWLFCrrnmGjn66KPTXILhI4BAawXYtCVMkE1bwjAcvw3SIvJBqtVcpiDVS62O/8EKC4dtGIblbW1trUycOFGuu+46Of3005vtHSRXM5Ag1Uutzd56MTcGybX+nmXTFn+tm92qati0JTqfbUF7W7uJqlmU3RbH1m7yuOjjolZNLS5q1di6ymOLY2vX1JooN83GFC7uA00ejZumj61eTQwXfTQxbLXG2620tNQz/75/5513PLORRnMvW62ae1bTR+Om6WOr1xYj3vbh1q2tVeOq6WMzMTFstWrysGmLUYp8aWwjz/LXER7ziPl3P05EAAEEEAiiwNKlS6WoqEjat28fxPKpGQEEfCbAOtM+uyCUgwACCCAQP4Hq6mqZMWMGa0vHj5jICKSdAJ9Mp90lZ8AIIIBA+go8++yzkpuby9rS6XsLMHIEnAswmXZOSkAEEEAAAb8KFBcXy4033ujX8qgLAQQCKMBkOoAXjZIRQAABBFousH37djHPS/fv37/lJ3MGAggg0IQAk+kmYDiMAAIIIJBaAkuWLJHhw4dL586dU2tgjAYBBJIqwGQ6qfwkRwABBBBIlIB5xOPyyy9PVDryIIBAmgiwaUvYhWbTljAMx2+DtIh8kGo1lylI9VKr43+wwsJhG4YR5e1bb70lo0ePFjOhPuqoo6L0iH4oSK5mBEGql1qj33OtPRok1/p7lk1b/LVudquqYdOW6Hy2Be1t7SaqZlF2Wxxbu8njoo+LWjW1uKhVY+sqjy2OrV1Ta6LcNBtTuLgPNHk0bpo+tno1MVz00cSw1RoPt6KiIm/MmDHmFmt4afLYajXBNGO29bG1a/PY6rXl0ZjYYiSqVm0eW722dpPH5qqphU1bjFLkS2MbeZa/jrDOdGt/BeR8BBBAAAFfC+zZs0dGjhwppaWlvq6T4hBAIJgCPDMdzOtG1QgggAACSoENGzaEevbs2VN5Bt0QQAABvQCTab0VPRFAAAEEAijw3HPPyZQpU6RDhw4BrJ6SEUDA7wI85uH3K0R9CCCAAAIxC5hHPCZOnMj24TELciICCNgE+GTaJkQ7AggggEBgBf7xj3+wfXhgrx6FIxAMASbTwbhOVIkAAgggEIPAokWLZOjQoTGcySkIIICAToB1psOcWGc6DMPx2yCtexmkWs1lClK91Or4H6ywcNiGYRx4+9FHH4Um0rNmzZJTTjklsoPiSJBczXCCVC+1Km7AGLoEybX+nmWdaX8t9deqalhnOjqfbQ1OW7uJqllH0hbH1m7yuOjjolZNLS5q1di6ymOLY2vX1JooN81aui7uA00ejZumj61eTQwXfTQxbLW6crvtttu83Nxcc1tFfWny2Go1gTVjtvWxtWvz2Oq15dGY2GIkqlZtHlu9tnaTx+aqqYV1po1S5EtjG3mWv44k+TGPOqmpeFYWPz5ThnWdIKt31UX9HaxuR5ksGDdAzCfHnYbNkbIdtRH9NH0iTuIAAggggEDKCqxZs4ZHPFL26jIwBPwjkNTJdF3Fg3LV7X+UkpvGSPHuJlBqymTWkDukfMB82e99IuuHvSfjhsyR9TVhE29NnybCcxgBBBBAIPUEqqurZeXKlZKfn596g2NECCDgK4GkTqbb5FwrTz58v9w2+fImUPZKxWMzZVbeaBnf/0RpI+0ku/8I+VXe4zLhsQr5bDqt6dNEeA4jgAACCKSkwLp16yQvL09ycnJScnwMCgEE/COQ1Mm0laHubSlduEHO6tZJMhs6Z0nvAefL5oXPyzYzm9b0aTiXNwgggAAC6SBgVvE499xz02GojBEBBJIs4OvJdN2252XhimOlx8kdJaLQFU9L6ba9oumTZGPSI4AAAggkUMA84jF37lzp3r17ArOSCgEE0lUgYo7qH4g6qdm+TTZLF+nW+eDn0ofWp+lz6Bn8hAACCCCQ2gLmEY9BgwbJ8ccfn9oDZXQIIOALAR9Ppn3hQxEIIIAAAgETMI94FBQUBKxqykUAgaAK+GDTlr1SMX+odJvUVVZtnSz9jOSEygAAIABJREFUjz44v6+rmC8Du/1Oeqx6Wqb373jAuE52rZ4kp1+0TSaXF8uP5BFrn2tz2jdcnz59+jS8b/ymrKws9IWVxsf5GQEEEEAgGAL79u2TDRs2SI8ePaRdu3bBKJoqEUhzATZtafW62Xu88nmXe5Jd6K36cP+h0fa/7s3LP88bu+rdsOMH+ufP88pNd02fsLObe8umLdF1bAva29pNVM2i7LY4tnaTx0UfF7VqanFRq8bWVR5bHFu7ptZEuWk2pnBxH2jyaNw0fWz1amK46KOJYau1NW7Lly/3Bg0aZG4l678PNHlstWryaPpo3DR9bPXaYmhMbDE04zV9WlurNo+tXlu7plZNLWzaYpQiX7b7IPIM/x05+DGwH38ranOy9LvyRHlo+Suyq6G+Gtle/o7kX3medDXVa/o0nMsbBBBAAIFUFuARj1S+uowNAX8K+HsyLe0l54pbZHTZLLlz9TtSJ7WyY/Uc+XXZ92XqFTkHVvjQ9PEnPlUhgAACCLgTqF/Fo3///u6CEgkBBBCwCCR3Mr1rtYzr1EG6XbdIZMc0ueiYzjJg/tYDm7EcqDwzT0Y/UignLLhEDss4WYYs7yIzHxkhvTLDStf0sUDQjAACCCAQbAGzikdubq507tw52AOhegQQCJRA26RWe3R/mV7lyXRLEW2y+8qoBZtl1IKmO2r6NH02LQgggAACQRcwj3gMHTo06MOgfgQQCJhAcifTAcOiXAQQQAABfwrUP+KxceNGfxZIVQggkLICYc9KpOwYGRgCCCCAQIoL1D/iYZbE44UAAggkUoDJdCK1yYUAAgggEBeBlStX8ohHXGQJigACNgEfbNpiKzFx7RkZGfLEE08kLmErM02bNk0KCwtbGSUxp1Nr/JyxjY9tkFyNQJDqdV1rbW2tXHnllTJr1iw55ZRTnN4Qrmt1WlyUYEGql1qjXEAHh4LkaoZr6mXTFv+tnR1zRWzaEp3OtqC9rd1E1SzKbotjazd5XPRxUaumFhe1amxd5bHFsbVrak2Um2ZjChf3gSaPxk3Tx1avJoaLPpoYtlpb6lZaWurl5uaa2+eQl60WTR5brSahLY+mj4sYJo+tXlsejYkthma8LmrV5rHVa2vX1KqphU1bjFLky3bPRp7hvyM85uHgt0BCIIAAAggkT+C5556TwYMHJ68AMiOAQFoLsJpHWl9+Bo8AAggEW2DPnj0yceJEKS0tDfZAqB4BBAIrENsn03v/LVve/jiwg6ZwBBBAAIHUECgvLw8NpGfPnqkxIEaBAAKBE4htMv3+Opl580wpeeEN+WCfF7hBUzACCCCAQGoImE+kp0yZIh06dEiNATEKBBAInEBsk2lpK52/3lNO2PGU3HnjSLn1/r/K+n/vkn2BGz4FI4AAAggEWaC4uFh69+4d5CFQOwIIBFwgtmemv3iJTBjZVtp/ro1843t75b3XX5JVSybL7C3HyIUF35YLz/uqnJQZW+iAe1I+AggggECCBCoqKmTt2rVMphPkTRoEEIguENsn0xntQhPpUMiM9tIx5xz52nnnylc/eUpGDOghX+rxLfnZzEdl9Ss7ZC9PgUSX5ygCCCCAQKsEXnzxRRk+fLhkZWW1Kg4nI4AAAq0RiG3TlvdfksWvdZHv9fbk9eeflAWzZshdf90qknme/Oi20fKTgq/L6YfvkLV/e0weXdtJfnzrcPlG9udaU2dCzmXTlvgxB2kR+SDVaq5YkOqlVv4Zc3nPmvvpwgsvlHPPPTdusEG6Z13axg00LHCQbKk17MI5fmts03PTlqoS70e98r2BvbLN586enDrIGztvufdy1cde3SFrae/13iy+2su88C7v+ep9h7T48Qc2bYl+VWwL2tvaTVTNouy2OLZ2k8dFHxe1ampxUavG1lUeWxxbu6bWRLlpNqZwcR9o8mjcNH1s9WpiuOijiWGrVeM2d+7c0H9/KisrzW0T9WWrRZPHVqtJbMuj6eMihsljq9eWR2Nii6EZr4tatXls9draNbVqamHTFqMU+bLds5Fn+O9IbI95iEjd+hXyjzYDZcbjz8sb6xbJ9GvzpXv2EZJxyG8sH0jF+lel5pn5smDNfw9p4QcEEEAAAQRiFaisrJRBgwZJ586dYw3BeQgggIATgRi/JdhGjrx5kWya/D05NfOwZgo5Uk7pda6cfmFnubzX8c30owkBBBBAAAG9wJo1a0KTaf0Z9EQAAQTiIxDbJ9MnfEN+NT5Pap5fLet3fPJZZZ++Kcvn/EEW/uNNqWn40mGm5Fxzn7y+epJcFIBnpuNDTFQEEEAAAZcCZtfDlStXSr9+/VyGJRYCCCAQk0Bsk+nDauWf990g/Qbky5UPv/rZ+tKHd5EBP/2OZP9jrBTc/qy82zChjqkuTkIAAQQQQCCqwIYNG0LHe/ToEbWdgwgggEAiBWKaTHtv/03ufuoE+cVvH5X/u/pMaXhWpG22fP0Hg+SI238lRaU7EzkOciGAAAIIpInAc889J1dffXWajJZhIoCA3wVimkzvr66WY395u9xx81VybtTHNzbJkxu3y36/j576EEAAAQQCJ7BkyRI588wzA1c3BSOAQGoKxLTOtLdjidzy4BfktvFfk6PDl+/Y956s+93P5cKbS+W8eatl2bWnS0yz9SRZs850/OBZoxNbI8B9wH3Q2vvgrbfektGjR4vZRvyoo46KH+iByEG6Z1trG3fMRgmCZEutjS6ewx+NbXquM133rvf8lB943x17n/eXv7/krVv3vLeq5AHv10PP8zLNutOnjfL+UlXrv4UALRWxznR0INsanLZ2E1WzjqQtjq3d5HHRx0Wtmlpc1KqxdZXHFsfWrqk1UW6atXRd3AeaPBo3TR9bvZoYLvpoYthqbc5twYIF3vDhw538s95cHnMvmpetVtNHM2ZbH1u7No+tXlsejYktRqJq1eax1WtrN3lsrppaWGfaKEW+NLaRZ/nrSMPjzi36JSOjo3xt7F1y812/kJ984wZ5I+zkzNyRUvzH2+Rb2YeHHeUtAggggAACrRdYvHixDB06tPWBiIAAAgg4EohtMm2St+0s/Sc8Kut+8IpseK1SPqg9XI498VQ54+wcyf7cPtn7SZ20/1yQHvJwJEoYBBBAAIG4CFRXV8vSpUtl9uzZsm7durjkICgCCCDQUoHYJ9OhTIfLsaf0kv6n9ArL68m+ikUy7dVvyO0FJ4Ud5y0CCCCAAAKxC5gJdG5ubmjXQybTsTtyJgIIuBWI8aPjT2THi8Vy67D+0jUjQ8wX9w7+aSOHd7tN3nZbJ9EQQAABBNJcwEygecQjzW8Cho+ADwVi+mTaq/qrTLx0mPzx/dPkgst/KH07hM/J62TPv8t9OFRKQgABBBAIqoDZ9XDixIlSWloa1CFQNwIIpKhATJPp/TvelL+/P1ju3bRAbjz7aAlfHc84eTuektkbDktRMoaFAAIIIJBogfLyzz6k6dmzZ6JTkw8BBBBoViD8I+VmO4Y3tj2jv9z0zSPlyA7tIibSpl/GFy+W6y/+YvgpvEcAAQQQQCBmAfOJ9PDhw6VDhw4xx+BEBBBAIB4CMW3aIrJfal57WG59/EQpvPUiOeGQj6bNFxAfkV8H8AuIbNoSj1vss5gseI+tEeA+4D6I9T4w986FF14o5557bvwQo0QO0j0bq22UYSfkUJBsqTV+t4SxTctNW/aXz/PyzeYsTf451Rta8m9/raitqIZNW6Ij2Ra0t7WbqJpF2W1xbO0mj4s+LmrV1OKiVo2tqzy2OLZ2Ta2JctNsTOHiPtDk0bhp+tjq1cRw0UcTw1ZrY7fKysrQf2/M3/UvTR5bn8Z56mOH/22r1fS15dH0cRHD5LHVa8ujMbHF0IzXRa3aPLZ6be2aWjW1sGmLUYp82e7ZyDP8dySmZ6bbnHKuXDnoVHnjwx7S90tHNvp1ZZ/sfO2VRsf4EQEEEEAAgdgEtmzZ0rAkXmwROAsBBBCIn0BMk2k5/DQZeP2v5As9r5ZvZUeG4AuI8btgREYAAQTSTYAl8dLtijNeBIIlENMXEEUOl+wBA6XzS7+X8T+7R/7x/n4Rb6esm/8bKXryVfnghIEy8ludgiVBtQgggAACvhQwS+Kdc845vqyNohBAAIHYJtPee/LCXddKv+/dJNPve13e3euJZBwvvX88XC5852656tcrZcc+84gbLwQQQAABBGIX2LRpU+hklsSL3ZAzEUAgvgIxTaa9ylVS9NAxMv7RJTLv5mMOVphxjHz10nw57o475PcvVB88zjsEEEAAAQRiEHjllVdYEi8GN05BAIHECcQ0md7/bpXsvrlQxl51kZzd+XOHVruvVvZKqTzy0tuy79AWfkIAAQQQQKBFAosXL5aBAwe26Bw6I4AAAokUiGkyfdgJJ0nXQ9aWPlCyVy0vPfp/slSy5dSsIyWm4IkcPbkQQAABBHwrUF1dLUuXLpUzzzzTtzVSGAIIIBDbpi1elSyfOEvKzx8snUsXywff/5mcu3ebvPDo3fKLe/4mNaeNkr88N12+nX2474T79OnTZE1lZWWSl5fXZDsNCCCAAAKJE6ipqZF//etf8tWvfjVxScmEAAIJF0jLTVvMctl1H232/vSLb3qZjTZuycwd6RW/+oFX5781ta0VsWlLdCLbgva2dhNVsyi7LY6t3eRx0cdFrZpaXNSqsXWVxxbH1q6pNVFumo0pXNwHmjwaN00fW72aGC76aGLYaq13mzJlimf+RHtp8tj61OeJFr/+mK1W08+WR9PHRQyTx1avLY/GxBZDM14XtWrz2Oq1tWtq1dTCpi1GKfJlu2cjz/DfkchFopW/j2RknilXzvqzXPTz1+SV8kr5oDZDjvz8adK9d1c5TtpItKdAlKHphgACCCCAgCxZskQmT56MBAIIIOBrgZgn06FRZbSXjqf1kv6n9To4yE9flft/+Yp887dDpAsPTR904R0CCCCAgFrgf//7n6xdu1Z69+6tPoeOCCCAQDIEYpvuvvuk3HBUhmRkRPnT7iy5oeghWbzxw2SMh5wIIIAAAikg8Prrr8ugQYMkKysrBUbDEBBAIJUFYvtkel+t7PnCBXJ5wZekwyE6H8u/17wm0vOLsuNf70ldr2NY0eMQH35AAAEEENAIvPbaa3LxxRdrutIHAQQQSKpAbJPptpnSe+YCuXHwlxo9G71fal6eJ2OfOEVu+W4XJtJJvbQkRwABBIIpsHfvXnn44YfllltuCeYAqBoBBNJKILbHPE7Il5ERE2njdphkdu8vX9s0Te75+7vChuJpdS8xWAQQQMCJwD//+c9QnG7dujmJRxAEEEAgngKxrTPdZEV1svd/z8lvBl8mfyz4m2y9pZfE9tF3kwni2mCeAfc8L/QN8rgmchR82rRpUlhY6ChafMNQa/x8sY2PbZBcjUCQ6rXV+swzz8iWLVtkxIgR8bm4LYhqq7UFoRLSNUj1Umt8bokguRoBU296rjP9v794P80MffBsPnyO8uc8b9yq/wZurWnWmY6+dqNtDU5bu4mqWUfSFsfWbvK46OOiVk0tLmrV2LrKY4tja9fUmig3zVq6Lu4DTR6Nm6aPrV5NDBd9NDFstV5zzTXe1KlTze3Q5EuTx9ZHc31stZoCbXk0fVzEMHls9dryaExsMTTjdVGrNo+tXlu7plZNLawzbZQiX7Z7NvIM/x2J7YPjJr+A2EY6fPGr0veS78n3Lvh8o+ep4/MbGFERQAABBFJHwGwh/tBDD8mf/vSn1BkUI0EAgZQWiG0y3eQXEJuw8mplb21baf+52B7RbiIqhxFAAAEEUkzALIlnXieddFKKjYzhIIBAqgrENrtt8guI0Zg82ffPRTLtr+9Ea+QYAggggAACDQIbN26USZMmNfzMGwQQQMDvAjFNpusq5suAaBu2RD3WRg7vdpu87XcJ6kMAAQQQSLrAypUrpUePHkmvgwIQQAABrUBMj3m0+XJ3+ebZx8kbx/WXvl86MizXPtn52mvycZez5Esd6ufpdbLn3+VhfXiLAAIIIIBApMD27dtl6dKlMnnyZNm1a1dkB44ggAACPhSIaTK9/4318uyAR+X5Kfny+bYZYcPyZN+bj8pPphwmk+67Qroc/lmbt+Mpmb3hsLB+vEUAAQQQQOBQAbMcXm5urnTq1InJ9KE0/IQAAj4WqP/4uEUlens+kc59vtJoIm1CZEjbL3WTrzz3/2TyXyobNm3JyL5URn6rU4ty0BkBBBBAIL0E1q1bJ4MHD06vQTNaBBAIvEBsm7ZUL5df3rpHRv92kJx4yCfT+2XXi7+RS742Tv43Yx2btsT59gjSwuzUGr+bAdv42AbJ1QgEqd6mah0zZoxcffXVvnpmuqla43PXtT5qkOql1tZf72gRguRq6jf1puemLd5HXnnxCO+bP5rmFS/7u7d23Tpv3QsrvZLfj/W+dWqmJ5mDvXs2fei/VbUtFbFpS3Qg24L2tnYTVbMouy2Ord3kcdHHRa2aWlzUqrF1lccWx9auqTVRbpqNKVzcB5o8GjdNH1u9mhgu+mhiRKu1srIytAGYMUuUmyZPtFrNfRr+0ozZ1sfWbvJp+tjqtcXQmNhiJKpWbR5bvbZ2k8fmqqmFTVuMUuRLYxt5lr+OxPTMtEim5Pxwitwtv5IfX/4NWVsT9rtR5iUybsE0ubb70WEHeYsAAggggEDTAuZ56UGDBklWVpaYjVt4IYAAAkERiHEybR6PPka+es1v5e8Db5LXXimXf33wqbQ79iTp1v2r0rVje3Y/DModQJ0IIICADwTM89IXX3yxDyqhBAQQQKBlArFPpkN52kj7jl2lV/+u0qtleemNAAIIIIBAg8DEiROltLS04WfeIIAAAkERiGk1j9Dg9v1PXl5SJON/do/84/39It5OWTf/N1L05Kvy/j7z6BsvBBBAAAEE7AIVFRWhTmeccYa9Mz0QQAABnwnENpn23pMX7rpW+n3vJpl+3+vy7l5PJON46f3j4XLhO3fLVb9eKTuYUPvsUlMOAggg4E+BV199teF5aX9WSFUIIIBA0wIxTaa9ylVS9NAxMv7RJTLv5mMORjfPUV+aL8fdcYf8/gW+QHIQhncIIIAAAk0JvPjiizwv3RQOxxFAwPcCMU2m979bJbtvLpSxV10kZ3f+3KGD3Fcre6VUHnnpbdl3aAs/IYAAAgggECEwY8YMOeeccyKOcwABBBAIgkBMm7Z4/35cxiw7Xab99GR5ZeZd8q+rb5WC7LYiXrW8OO0H8rWJmyV/3mpZdu3pEtNsPUlyGRkZ4nmeLFmyJEkVtCxtkBZmp9aWXduW9Ma2JVr6vkFyNaMKUr3htVZVVcmIESOkuLhYjjrqKP0FSlDP8FoTlLJVaYJUL7W26lI3eXKQXM0gTL3puWlL3Tve04W/9O55+h9eyaRR3rxNFd5rLz7lzb35m16miCenjfL+UlXrrxW1FdWwaUt0JNuC9rZ2E1WzKLstjq3d5HHRx0Wtmlpc1KqxdZXHFsfWrqk1UW6ajSlc3AeaPBo3TR9bvZoYLvpoYoTXWlJS4g0aNMhc+oZXotw0ecJrbSiw0RvNmG19bO0mpaaPrV5bDI2JLUaiatXmsdVrazd5bK6aWti0xShFvjS2kWf560hsS+NldJL8CT+SD341Wob99m9SM/nuht+QMnNHSvEfb5NvZR/ecIw3CCCAAAIIRBMwz0sXFBREa+IYAgggEAiB2CbT8ql8+G6GnDX2UXnz52/L5vJK+aA2Q478/GnSvffpkt0+SA93BOI6USQCCCCQkgLmeemNGzem5NgYFAIIpIdATJPpun8vlhG9rpJHcudJ+bJrpf9pbNmSHrcLo0QAAQTcCdSvL92tWzd3QYmEAAIIJFggto+Q99XK7k9Plx9de750iRZh779ly9sfJ3gopEMAAQQQCJKAWV96+PDh0qFDhyCVTa0IIIDAIQLRpsKHdIj2Q5suV8jvlg6XDtu2yJsffNqoy6dSvXaRzN3AOtONYPgRAQQQQCBMwDwv/fWvfz3sCG8RQACB4AkoJ9Oe7Kuplg/21oVGWFfxsPzoolvk95O+K92OaydmSbmDf9rJ8d/4vewMngUVI4AAAggkUMA8L929e/cEZiQVAggg4F5Atc60936pTLvsGnmo3wJ56Y5vyNGfbpH5l39Xpn7YQ/p+6chGVdXJnn+XS4eRJbKg4KRGbf7+kXWm43d9grTuZZBqNVcsSPVSK/+M1d+zw4YNC60vvXDhQmnXrl38YFoZOUj3bL1tYWFhK0edmNODZEut8bsnjG0arDO913uj+Ide5mlXezOf/49XZ5b2q/vIK/+/33oL39wbdaG/uqq/evc++U7UtpYf/NArXzHLG5otnlkHWrKHejNWlHsfNQq0v+ol78Gx+aE+2UNney9VfdKoh/1H1pmObmRbg9PWbqJq1pG0xbG1mzwu+rioVVOLi1o1tq7y2OLY2jW1JspNs5aui/tAk0fjpuljq1cTw0UfTQxTa7T1pc31N69EuWny2FxNvZox2/rY2rV5bPXa8mhMbDESVas2j61eW7vJY3PV1MI600Yp8qWxjTzLX0cUj3l8Ku//91iZseR++eXXviAZ5peT/6yQWTv6ScEpjbYSP/CLS0b74+XEY1ysM10r7yyeIBcMe1XOX/1haHfC/et/KNVTfyy/Xv3ewV+Taspk1pA7pHzAfNnvfSLrh70n44bMkfU1nz2WcrAj7xBAAAEE/CBgnpe++OKL/VAKNSCAAAKtElBMpo+Q0/p8RT6o/K/U7DMf/Npe+2TXm5tk7f/22jra2+velOX3Lxa55mr5/ulHh/q3yf66/OiaE+Wh5a/IrtCRvVLx2EyZlTdaxvc/UdpIO8nuP0J+lfe4THisQphO25npgQACCCRawDwvfc455yQ6LfkQQAAB5wKKyXQbOfpr35Hc52+U7MPbfPZFw06Xyf1jesvhh3zxsP5LiIfLMb1nSJWLUtt0lJN7dJIdZS/LPxs+Za6R7eW75ZoB3SU0va57W0oXbpCzunWSzIacWdJ7wPmyeeHzso3ZdIMKbxBAAAE/COzd+9mHLWeccYYfyqEGBBBAoFUCuk1b2naWi371oJTmPSV/+/tLsvmtrfLCm0dKn68eL5Gz8Y/l32teaVVRB0/OkrwrrpYL7hot3xmRJavnXCnHlD0oy79YKL+4oGOoW92252XhimOlx7iOkbWseFpKtw2RnJz2B0PyDgEEEEAgqQJ79uyRQYMGSVZWVlLrIDkCCCDgQkA3mTaZ2n5ezv7Wj0J/ZMdiueHhL8vsW3pJZABPPt3yR7l1q4vy2khmrxHyyEvtZPzgH8kZRxVK/rzVsmzU6QcmznVSs32bbJYucmXng59Lu8hMDAQQQACB+AjU1NTwvHR8aImKAAJJEIj8YFlTxHE95cf5X5LDovbNkMO7XCzX9HT1iUNbOerYznLW6Gky9gKRFdfdLJNWv8Oz0FHtOYgAAgj4X2DHjh08L+3/y0SFCCCgFIhtMt3+ZOnT/YTPVvaIlqj9l+QrJzdefzpaR9uxOqnZ+pDcPGu//GD0eJm+aq2sKhSZdtFPZdb6D0SkjWR27ipnyZtSvr3GFox2BBBAAIEkC2zfvj1UAc9LJ/lCkB4BBJwJqDZtcZatpYHqtsr8gd+WhVc+KcuurX+04wNZP/OH0vtvBVK+7FrJEdPnOikft1Sm9//sOWqRvVIxf6h0W3jJZ33CfmXo06dPk1WUlZVJXl5ek+00IIAAAgi0TuD999+X9957T0477bTWBeJsBBBIGYE02LQliQtjf7jKG5ud7eXPe93b31DGfu/DVYVedv48rzx0cI9XPu9yL3vsKu/Dhj7veqvGntfovIbGJt+waUt0GtuC9rZ2E1WzKLstjq3d5HHRx0Wtmlpc1KqxdZXHFsfWrqk1UW6ajSlc3AeaPBo3TR9bvZoYLvrYYgwfPtzr0qWLudRNvhLlpsljczWDsI1Z08dFDJPHVq8tj8bEFkMzXhe1avPY6rW1a2rV1MKmLUYp8mW7ZyPP8N+RsM9sffgLztE95YrRPWXFpBny4NbPVpWWmi3y+IIXZOBPL5KuoerbS84Vt8josllyZ+hZ6lrZsXqO/Lrs+zL1ipzIFT58OExKQgABBNJBwKziMXfuXDniiCPSYbiMEQEE0kTA35NpOVZ6jX5A1k3rKA+dccxna1znzJDqH94v9xR8+eBEOTNPRj9SKCcsuEQOyzhZhizvIjMfGSG9Mn0+vDS5yRgmAgggYAQ2bNgQgmAyzf2AAAKpJBD7bHPf/+TlJUUy/mf3yD/e3y/i7ZR1838jRU++Ku+rdkpUMrbJll7DpssznhfaTtyrWiC3fDMnbIOWz+K0ye4roxZsFs+rkmemXyO9stspE9ANAQQQQCARAhs3bpQpU6YkIhU5EEAAgYQJxDaZ9t6TF+66Vvp97yaZft/r8u5eTyTjeOn94+Fy4Tt3y1W/Xik7XE6oE8ZBIgQQQACBeAkUFxdL79694xWeuAgggEBSBGKaTHuVq6TooWNk/KNLZN7NxxwsPOMY+eql+XLcHXfI71+oPnicdwgggAACaS1glsRbu3Ytk+m0vgsYPAKpKRDTZHr/u1Wy++ZCGXvVRXJ2588dKrOvVvZKqTzy0tuy79AWfkIAAQQQSFMBs/QoW4in6cVn2AikuEBMk+nDTjhJumZEkfGq5aVH/0+WSracmnXkwS8IRunKIQQQQACB9BFYtmyZFBQUpM+AGSkCCKSNQGybtnhVsnziLCk/f7B0Ll0sH3z/Z3Lu3m3ywqN3yy/u+ZvUnDZK/vLcdPl29uGBgszIyJAnnngiMDVPmzZNCgsLA1EvtcbvMmEbH9sguRoBP9dbW1srV155pcyaNUtOOeUUX9fa+G7ys2vjWv1+HzSuN0i21Nr46rn72dim7aYtdR9t9v70i296mSKe2eyk/k9m7kiv+NUPvDr/raltrYhNW6IT2Ra0t7VNpGdsAAAgAElEQVSbqJpF2W1xbO0mj4s+LmrV1OKiVo2tqzy2OLZ2Ta2JctNsTOHiPtDk0bhp+tjq1cRw0SdajNLS0tB/I8z1NS9brYly0+Sx1WrGE23Mn4304P/a+tjatXls9dryaExsMRJVqzaPrV5bu8ljc9XUwqYtRinypbGNPMtfR9rG+rtFRuaZcuWsP8tFP39NXimvlA9qM+TIz58m3XufLtntY3p6JNZSOA8BBBBAwMcCLInn44tDaQgg0GqB2CbT7y6XmStOkV9cnSMdT+sl/U/r1epCCIAAAgggkJoCZkm8yZMnp+bgGBUCCKS9QGwfIe/7WDb/cJAMHlUki194Qz5gTem0v5EAQAABBKIJsCReNBWOIYBAKgnENpluf6IM+sez8vjY8yXzn3+S8UNvlpl/ek62vLc39PB0KgExFgQQQACB2AVYEi92O85EAIFgCMT2mMdxfaSgnxngFyR/aHfJH/K+vLn2Gfnr1J/L9CPPlSsGf0su6nmitI+2fF4wXKgSAQQQQMCBAEviOUAkBAII+Fogtk+mvVrZ+0ndgYF5sq+mWv5b9ZZs2VQqxZN/Kt/ufYlc99gbUt/D1wIUhwACCCAQF4Hq6mqZO3eudO/ePS7xCYoAAgj4QSC2daZ3/FluW/oFue4be+X5vxbLrDvmy9oaETn1u/KLm4fJFd+6UHK7HCexfeydPBbWmY6fPWt0YmsEuA/S6z7YunVraC38xuv3cx+k133Q1Gi5D5qSad3xILmakZp603Od6aoSb2jD2tKZ3qnf+v/s3Qt4VNW5N/B/giJ4ADVgNQFbRBqwilAggQoeI9IgtRXkopa2SQv0lHLzyEeAgNZ64SaIpwLWVsIheKRFSIRzPEpQAmhQieEmnkIiKkpMbEHKJQWkJPt71pBJdmYmWW8mayZ7z/zneZTJXmu/612/tYlrtnvWesh69pVC67PT/3TWwn+NzIbrTAcG063BqStXUSXrSOri6MpVOybqmMhVkouJXCW2ptrRxdGVS3INl5tkLV0T14GkHYmbpI4uX0kME3XsMebOnWupf3xfulzD5SZpR5er5JqV1LG7+Xp5f5bU0eWriyEx0cWQ9FfVaWqu0nZ0+erKJblKcuE600rJ/6W7DvzPcN6RJtw87o67Z/w7fn3fUNze8zq0uYQPSDftsyTPpgAFKBBZAhs2bOCSeJE1pOwNBSgQQCDIyXQLJPx+HVZMuBnu2jA8gAAPUYACFKCAcYGSkhK8//776Nu3r/HYDEgBClDASQLBfQHx2qF49BffqX8i/fedyC046qR+MhcKUIACFAijwHvvvYfx48cjLi4ujK2yKQpQgALhFxDcmbZwrmQj5j/3F/ScOBUjEtugqrQAWWt342zAfC2cO1SAj1OXYUTAch6kAAUoQIFIF3j77bdx2223RXo32T8KUIACkgU3zuKT/FV4/HdvYWD3ezAs8Wa0uOIS/DXrMTxxUC3hEeh1A9JSAx3nMQpQgAIUiHQB75J4GRkZkd5V9o8CFKCAZDJ9OW786RK8ff1f0XHAjWih0Nr1xshfj0e7707BT7q29mP856H1eI5Pefi58AAFKECBaBA4cOAAkpKSkJiYGA3dZR8pQIEoFxA85gHEtOmCgUO62Kja4JaxmbgG7XFtG8/0urrMwoUTx/GPpJ/gwX/8i60+31KAAhSgQLQIbN++HcOHD4+W7rKfFKBAlAsEt2nL0f/FjD93wvwpPS/eqa5BtHCh7DU8Mu8r/HTBT3BTnYl2TSXHvuGmLaEbGjctIu+mXNWIuSlf5hodf8fU4x3jxo1D9+7dA3aY10FAFiMHaWuE0S8IXf1IjB1QtlG7acuvFhVZgbZoqTq7z3r+nput4atLrErnravdYEbctCUwj25Be125iipZlF0XR1eu2jFRx0SuklxM5CqxNdWOLo6uXJJruNwkG1OYuA4k7UjcJHV0+UpimKizZMkSS/0uVX2v76XLNVxuknZ0uUquWUkdE/aqHV2+unYkJroYkv6ayFXaji5fXbkkV0ku3LRFKfm/dNes/xnOO9KIpfHO4NNXH8UPu7ZFTMJI/CGjLy6NiYG6m2v/J7Z1T0z47/q+mGjsgwwDUYACFKCAAwUOHz7MJfEcOC5MiQIUCJ2A6Jnpi81fjut/+Fts6PcDZM34NabvT8Dwm9rDfzZ+OeL7/ghj7+0SoCx0HWFkClCAAhRofgG1vvSkSZOaPxFmQAEKUCBMAo2YTKuMYnDJ1ckY99gs7F13A5b+vz4+y4FYuHDsc5RekoDOLnteOkzebIYCFKBAxAqoJfEKCwuRk5MTsX1kxyhAAQr4CvjfWPat4fdzDC755gg8M6mnz0RaVYxBi5Zl+NOkp/HW0Qt+Z/IABShAAQpErkBRURG6du2KTp06RW4n2TMKUIACPgJBTKZVhEr8/Z3f4YG+CXWel1bPTsdecStmr3kKc3IOotKnMf5IAQpQgAKRK6Am03fccUfkdpA9owAFKBBAoJGPeVRHOL4NC0f9FkU9hyBt9Fd495N/QT/P89NVOPv5fnxy9XBM+dfr+Mx0AHAeogAFKBCJAmfPnsWcOXM8SzVGYv/YJwpQgAL1CQS1zvSFXU/jB3m3Yn3m99Du7LuYP+uvSP/dcCTEWLjw+XpMfaIK05+7D10ujamvXUce5zrToRsWrtFJWyXA6yByr4NPP/0U06ZNw9q1a9GyZcsGO8rroEGeJhXStkl89Z5M13ppmlygbKNynekLe5+zfvXnT60qz1J/p629z860fv/h6eqF/z63ctK+Z/0i57PqcuetB1hfRlxnOrCMbg1OXbmKKllHUhdHV67aMVHHRK6SXEzkKrE11Y4ujq5ckmu43CRr6Zq4DiTtSNwkdXT5SmI0pc7SpUutjIwM0d9BXa7hcpO0o8tVcs1K6jTFXsX3vnT56tqRmOhiqFwkdZqaq7QdXS66ctWOLldJLlxnWin5vyS2/mc560hQj3m0uP4mfGPiLMz6vB+6fGcofjxyAF6YOB9/nvYjJJT9N5blvovPexxFJb4Z4EuKTf4QwwAUoAAFKOAwgTfffBMTJ07EmTNnHJYZ06EABSgQWoHgvoDYrh9+/URvHPzDbzB92Tv48prvY0baP/Cb27+H2388H1sxHFO//21OpEM7doxOAQpQwBECpaWl2LhxI77zne84Ih8mQQEKUCCcAkHdmQYuQ/ygDOTsHY+KS67ElS1igRELsWPvD7Hj0yrE974Vyd9sE85+sC0KUIACFGgmAbW29LBhwzxL4qkVPfiiAAUoEE0Cwd2Z9gjF4JI2cbiylTfEZbi652AMH56Kfm3/D68UHI0mR/aVAhSgQNQKvP766xgxYkTU9p8dpwAFoltAcGf6axzJfxFrd58QSlk4d6gAH6cuA3+1CslYjQIUoIBLBdSSeCtWrOAW4i4dP6ZNAQo0XUAwmb4UV1z6BbIyfouD4vZuQFqquDIrUoACFKCASwV2797tybxXr14u7QHTpgAFKNA0AcFkOhbt+g3Dr3/SDt+d9wC6Xqpv8J+H1uM5PuWhh2INClCAAi4X2L59O+bOnevyXjB9ClCAAsELCDdtqcQ/TvwDl13ZTrBCxwWcqziOv399BeLbXxZ8ZiE6s1+/fvVGVl+iSU5OrrecBRSgAAUoUFfg//7v//Ctb30LbdrwS+d1ZfgTBSggFYjKTVsaXCr7/H7r+SkvWR9XNljLkYXctCXwsOgWtNeVq6iSRdl1cXTlqh0TdUzkKsnFRK4SW1Pt6OLoyiW5hstNsjGFietA0o7ETVJHl68kRmPr7Nmzx1K/N1U/vS9JDF2u4XKTtKPLVXLNSupI3CR1dPnqYkhMdDEk/VV1mpqrtB1dvrpySa6SXLhpi1Lyf+muA/8znHfEuxSH9MPDxXpHX8WEtjFQ22/7/dOyByYsfRG5e042LiZrU4ACFKCAqwQ++OADjB8/HnFxca7Km8lSgAIUMCkgeGY6QHMXzuPsNSkYPeKbaF2n+B/4fMf/Ab2vRflnx1DV5woEN1uvE5Q/UIACFKCAAwVyc3ORlpbmwMyYEgUoQIHwCQQ3mb6kDfouzsbk4d9ETJ1cK1GxLwszXrke0+/pwol0HRv+QAEKUCByBLy7Hi5btixyOsWeUIACFAhCILgbx1enYorfRFq13gJtbhmE7+2dj9+9dRTqYTq+KEABClAg8gT+8pe/1Ox6GHm9Y48oQAEKyAWCm0zXG78K544ewed/24v1u4+gst56LKAABShAATcLrFu3DoMHD3ZzF5g7BShAASMCwU2m6/0CYgu0vmYQHn73RozqfR1aGEmRQShAAQpQwEkC3l0PBw4c6KS0mAsFKECBZhEI7pnper+AGIvW196EAXfdi3tTvuHzPHWz9I+NUoACFKCAYQG162FSUhK466FhWIajAAVcKSDctMWnb0c3Y+mO7gG+gOhTz2U/qmX+XnnlFddkPX/+fGRmZroiX+YaumGibWhs3eSqBMKZ7/r16z3oo0aNCgo/nLkGlaDtJDflqtJ2U77M1XahGXzrJlfvNctNW5y3dnbQGXHTlsB0ugXtdeUqqmRRdl0cXblqx0QdE7lKcjGRq8TWVDu6OLpySa7hcpNsTGHiOpC0I3GT1NHlK4khraN+VxYUFKjh8ntJYuhyDZebpB1drgpA0mddHV25tB1dvrp2JCa6GOHKVdqOLl9duWpH5yrJhZu2KCX/l8TW/yxnHQnumWndJ6i/70RuwVFdLZZTgAIUoIDLBD799FNPxr1793ZZ5kyXAhSgQGgEgntmGhYunPgI7+RtReGR0z6ZWTh3qAAfpy7DCJ8S/kgBClCAAu4WOHDggGfXw9at627Z5e5eMXsKUIACwQsEN5k+swfP3TccD75xpJ6Wb0Baaj1FPEwBClCAAq4V2Lp1K5YvX+7a/Jk4BShAAdMCQU2mLxzIx7NvdMKD/5WDBwd1QiufrP55aD2e41MePir8kQIUoIC7BdSuh4cOHULfvn3d3RFmTwEKUMCgQFCT6RbXdcf3r+qO7/1rL1wff6l/Olf/BA+e/Bf/4zxCAQpQgAKuFcjPz0dycjLi4uJc2wcmTgEKUMC0QFBfQIz5xvfxm3Xdsf21AzgXICPr6HtY/95XAUp4iAIUoAAF3CqQm5uL/v37uzV95k0BClAgJALBrTONSlSUbMSTk5/Bh9d0Qfs6U/IqnP28GK2n5CB7xHUhSTpUQbnOdKhkufZp6GRpGypbN67VGsp150+fPo20tDSsWLEC7du3bxK7m2zdlKsaFDfly1yb9Neo3pPd5Oq9ZqNynemqv71u/fu321hqrdHA/9xgpeV87qxFAAXZcJ3pwEi6NTh15SqqZB1JXRxduWrHRB0TuUpyMZGrxNZUO7o4unJJruFyk6yla+I6kLQjcZPU0eUridFQnby8PCspKUn7d6yhGGp81UuXa7jcJO3oclX9kfRZV0dXLm1Hl6+uHYmJLka4cpW2o8tXV67a0blKcuE600rJ/yWx9T/LWUfq3FOu92OOT0Hl5x/ifz76Hn6T9xnOVlmwLPs/Vfhn8WPo7HMOf6QABShAAfcKrFu3znNn2r09YOYUoAAFQiMQ1GT6khtvx4TvxaPrt69BqxjfxGJwybeH4aE7430L+DMFKEABCrhQ4Pjx457HOwYOHOjC7JkyBShAgdAKBDWZxuW9MeGFO7E3dzdOqQc96rwsXPhoI57ZUl7nKH+gAAUoQAF3CqiNWpKSktCrVy93doBZU4ACFAihQFCT6aqSbIy8OR1Lpt+KK2JjoL64V/tPLC7t9igOhzBphqYABShAgfAJbN++nY94hI+bLVGAAi4TCGqd6djr++P+YTfg45O9MOCbvutJX1zNw2UOTJcCFKAABQIInD17FnPmzEFBQUGAUh6iAAUoQIGgJtO49NsY+stHcE3vn+DueN8QF3Duk1fxwoEW1KUABShAAZcL7N6929OD3r17u7wnTJ8CFKBAaASCeswDuBTxd6cHmEgD+OdBZP/HGdw9NCE0GTMqBShAAQqETUA94jF37ly0bt06bG2yIQpQgAJuEghu05ajr2JClx/hDxX1dfUuLCr6M6b3uaK+Co48zk1bQjcsblpE3k25qhFzU77M1X1/xzIyMjBu3Dh0797dWPK8DoxR+gWirR+JkQN0NcIYMIiyjcpNW6yyHCvthhRrdFqalVbnn5FWyg3drZTRP7em5RyyKp21prY2G27aEphIt6C9rlxFlSzKroujK1ftmKhjIldJLiZyldiaakcXR1cuyTVcbpKNKUxcB5J2JG6SOrp8JTF86+zZs8ezMdeZM2fU0HhevnW8x71/6spVPV2u4XKTtKPLVfVH0mddHV25tB1dvrp2JCa6GOHKVdqOLl9duWpH5yrJhZu2KCX/l8TW/yxnHfF94Dngpwa/g5e0Qd/F2Zg8/Juou8x0JSr2ZWHGK9dj+j1dEOQzJH7N8QAFKEABCoRfQH3pUN2Z5iMe4bdnixSggHsEgpvvXp2KKX4TadXpFmhzyyB8b+98/O6to569xt1DwUwpQAEKUMAusHr1agwePNh+iO8pQAEKUMBHILjJtE+Q2h+rcO7oEXz+t71Yv/sIKmsL+I4CFKAABVwksHfvXrz//vvo27evi7JmqhSgAAXCLxDcZFp9AbGtfaMW7/sWaH3NIDz87o0Y1fs6cHG88A8oW6QABShgQkA94jF+/HjExcWZCMcYFKAABSJWILhnpi+cx9lrUjB6xDdRd7GkWLS+9iYMuOte3JvyDZ/nqSPWkB2jAAUoEHEC6hGPJ598MuL6xQ5RgAIUMC0Q3GS63i8gmk6P8ShAAQpQINwCfMQj3OJsjwIUcLNAcI95qC8g/rAVPtj8BnaVf32x///8BHnL/4i1b3+CCrWYEl8UoAAFKOBKgQ8++ICPeLhy5Jg0BSjQHALBbdpifYm3HhuLux97HdcsKsLB6X3gucV9oRxvPTUFT56fjJceTcHVddfNa47+NapNbtrSKK5GVeaC943ialRl2jaKS1zZTa6qUybzVbGGDh2KXr16ib0aU9Fkro1pN5i6bspV9c9N+TLXYK5I/TlucvVes1G5aUvVJ6ut4Ulp1sP/8Sfr3bJzdVbOVmXDMNB65K1jdY6b+KGyrMjasG6RlRYPC/GZ1paTtdvCVJbttFbNSPVsMBCftszaWfZ1o5vkpi2ByXQL2uvKVVTJouy6OLpy1Y6JOiZyleRiIleJral2dHF05ZJcw+Um2ZjCxHUgaUfiJqmjy1cSQ9U5cuSI5/eoyj3QSxdHVy65DsLlJmlH5yq5ZiV1JG6SOrp8dTEkJroYkv5KrgNT7eji6MoluUr6zE1blJL/S3fN+p/hvCNBPeZRefw4rvx/j+HxBx9A//jLAnxM2otX95QaXBrvPMoLl+MXfX6O3MPXIX3bSVhl8zCoXXX6FYVYMuZxFA9ZiUrra+xKP4aZY5ZjV0VVgNx4iAIUoAAF6hPIz8/nIx714fA4BShAgQACQU2mWyR8C3GflOO077PRF45h1//8D7agLa5uc5mh1TyqULFrOcYML0SvDZvxn9Pvx6DEdraunEPJy4uxJHkaZg3qiFi0RPygSXgkeT1mv1wCTqdtVHxLAQpQQCOQm5uL0aNHa2qxmAIUoAAFvAJBTaZjrh2IUdZS/GzWH/Dq24XYtetd5OeuwJPjhuGOB9eh4tsPYMrQG8xsJ15RhOenv4Quyx7Hg8nx/jGrDqNg7W706JaANt5eIQ59h9yO/WvfwSHOpmtU+IYCFKBAQwJfffUVNm7cyI1aGkJiGQUoQAEfgaAm04jpgO/NeAoPXvEG/v1f+6Fv31tx58hf4pHV7wBJU7D6lUdxd/ylPk0F8+PFu84ZuBMDqtbhFwlqc5geSF+ch5LqRziqDr2DtZuvRK/OHfwn2ps3oeDQuWAa5jkUoAAFok6Aq3hE3ZCzwxSggAGB4CbTquFLOmHQ7D+h6JMibPmfV5CT8yq2vHcAJW/9B3520xVmHvGovuucknwzeg6YiuyySpw+MB1Y8gv86vkiVKAKFaWHsB9d0K1T7X1pAy4MQQEKUCDqBN577z0+4hF1o84OU4ACTRUIbtOWmlYvxZXX98Gg6/vUHDH6pqIMxfuvRPLMoegT39ITuk33+zHnyf9Ft3GL8fI9qzDKaIMMRgEKUCA6BUpLS1FYWMhHPKJz+NlrClCgCQLBrTPdhAYbc2pVyUoM7fYcem3ZhIWDOtScaj8+v9N/B6hThVP5D6P7nYfwZPFqjE1sVXNuv379at77vlH/IUlOTvY9zJ8pQAEKRLzAsWPHcPr0aVx//fUR31d2kAIUcJZAVK4zHbYV/k5usWbEx1upWQes2hWlLauyOMtKxWgrq/isZVUesLJSb7VmbDlqS+usVZw12kJqllVsP9FWI9BbrjMdSEW/dnO41uiUtGOijmTNSxPtmIihRkyXr6l2dHF05ZJcVR1dHF25JIZkLV2dq6l2TPRHYqtrJykpyXr00UdVqAZfuji6chVcZysZH0k7ujqSdnS5qv7o2pHUMRFDYqtrR2KiiyHpr4lcpe3o8tWVS3KV5MJ1ppWS/0vyd8z/LGcdCf6Z6XB8qGl3C4b8LAH7d/wF5TWrclQ/J516FwZ2bQXEdsbA+zvixbwPcKompwqUFn+B1PtvRVdn97AmY76hAAUo0FwCe/fuxfvvv48bbrihuVJguxSgAAVcK+DwqWYHpEydjaGvP4rZqz5EBYCq8neRlf0Zps0bgURP9q2QeN90TCtcggX5X6AK51GevxxPFI7CvPsS/Vf4cO1QMXEKUIACoREoKCjwbNTStm3b0DTAqBSgAAUiWMDhk2kgtuNw/G7bYvTY/mO0jYlBizH/jbipizGtz5W1w9ImGdPWZOLq7LvQIqYzxuR1weI1k9CnjeO7V9sHvqMABSjQTAKrV6/mKh7NZM9mKUAB9ws0cTWPcADEok3iEEzPVv/U315s/AA8lL0fDzVQp/6zWUIBClAgOgW8j3j07dsXb731VnQisNcUoAAFmiDAW7dNwOOpFKAABdwu4H3EIy4uzu1dYf4UoAAFmkWAk+lmYWejFKAABZwhwEc8nDEOzIICFHCvACfT7h07Zk4BClCgSQLeRzxuu+22JsXhyRSgAAWiWcDRm7aEe2BiYmJgWRY2bNgQ7qaDam/+/PnIzMwM6txwn8RcQydO29DYuslVCQST7/r16z14o0aFdy/ZYHINzSjro7op12CvA71CaGq4yZa5huYa8F6z3LTFWetmNykbbtoSmE+3oL2uXEWVLMqui6MrV+2YqGMiV0kuJnKV2JpqRxdHVy7JNVxuko0pTFwHknYkbpI6unx9Y5w5c8ZSv/MKCgoUu+flW8d73P6nro6uXMXS5RouN0k7ulxVfyR91tXRlUvb0eWra0dioosRrlyl7ejy1ZWrdnSukly4aYtS8n9JbP3PctYRPuYRug9bjEwBClDAsQK7d+/25Na7d2/H5sjEKEABCrhBgJNpN4wSc6QABShgWGD79u1YunQpWrdubTgyw1GAAhSILgEXrDMdXQPC3lKAAhQItcDx48cxZ84c7NmzJ9RNMT4FKECBiBfgnemIH2J2kAIUoEBdgaKiIiQlJaFXr151C/gTBShAAQo0WoCT6UaT8QQKUIAC7hZYt24d0tLS3N0JZk8BClDAIQJ8zMMhA8E0KEABCoRDQD3isWLFChQXF4ejObZBAQpQIOIFeGc64oeYHaQABShQK/Dqq69i2LBhSExMrD3IdxSgAAUoELQAN22x0XHTFhuG4bdc8N4wqC0cbW0YBt+6yVV1W5qvqte/f3/ccccdBrUaF0qaa+Oihqa2m3JVAm7Kl7nymvVes9y0xVnrZjcpG27aEphPt6C9rlxFlSzKroujK1ftmKhjIldJLiZyldiaakcXR1cuyTVcbpKNKUxcB5J2JG6SOrp8VYzi4mLPRi0qr0AvSTu6OrpyyXUQLjdJOzpXyTUrqSNxk9TR5auLITHRxZD0V3IdmGpHF0dXLslV0mdu2qKU/F+6a9b/DOcd4WMeoflgyKgUoAAFHCewefNmjB8/HnFxcY7LjQlRgAIUcKsAJ9NuHTnmTQEKUKCRAqtXr8bo0aMbeRarU4ACFKBAQwKcTDekwzIKUIACESJw8OBBvP/++7jtttsipEfsBgUoQAFnCHAy7YxxYBYUoAAFQirw4YcfYu7cudw+PKTKDE4BCkSjANeZjsZRZ58pQIGoElBrS7/00kvcPjyqRp2dpQAFwiXAO9PhkmY7FKAABZpJQG0f3rVrV24f3kz+bJYCFIhsAa4zbRtfrjNtwzD8luuJGga1haOtDcPgWze5qm43lK8qa+61pe1D01Cu9npOeO+mXHXXgRM87Tm4yZa52kfO7Htly3WmnbfcX9AZcZ3pwHS6NTh15SqqZB1JXRxduWrHRB0TuUpyMZGrxNZUO7o4unJJruFyk6yla+I6kLQjcZPUqS/fI0eOeNaWXrFiheJt8CVpR1dHV64SqC9Xb3LhcpO0o8tV5Szps66Orlzaji5fXTsSE12McOUqbUeXr65ctaNzleTCdaaVkv9LYut/lrOO8DEPsx+wGI0CFKCAowQ2bNjgWVu6ffv2jsqLyVCAAhSIFAFOpiNlJNkPClCAAgEEuLZ0ABQeogAFKGBQgJNpg5gMRQEKUMBJAjt27ODa0k4aEOZCAQpEpAAn0xE5rOwUBShAAWDjxo1cW5oXAgUoQIEQC3Cd6RADMzwFKECB5hBQa0svWrSIa0s3Bz7bpAAFokqAd6ajarjZWQpQIFoEtm3bhmHDhnFt6WgZcPaTAhRoNgFOppuNng1TgAIUCJ2A+uJhWlpa6BpgZApQgAIU8Ahw0xbbhcBNW2wYht9ywXvDoLZwtLVhGHzrJlfVbXu+n376KaZNmwY1oW7btq1BFTOh7LmaiRi6KG7KVSm4KV/mGprr1uu98uQAACAASURBVE2u3muWm7Y4a93sJmXDTVsC8+kWtNeVq6iSRdl1cXTlqh0TdUzkKsnFRK4SW1Pt6OLoyiW5hstNsjGFietA0o7ETVLHnu/cuXOtjIwMxVnzksQwUUcSw55rTYK2N+Fyk7Sjy1WlLemzro6uXNqOLl9dOxITXYxw5SptR5evrly1o3OV5MJNW5SS/0ti63+Ws47wC4ih+WDIqBSgAAWaRUB98XDOnDkoKCholvbZKAUoQIFoE+Az09E24uwvBSgQ0QLqi4dJSUkYMGBARPeTnaMABSjgFAFOpp0yEsyDAhSggAEB9Zz05MmTDURiCApQgAIUkAhwMi1RYh0KUIACLhAoKSnxbNTywx/+0AXZMkUKUIACkSHAyXRkjCN7QQEKUADr169HRkYG4uLiqEEBClCAAmES4BcQwwTNZihAAQqEUuDChQv84mEogRmbAhSgQD0CvDNdDwwPU4ACFHCTwOnTp/nFQzcNGHOlAAUiRiDqNm3p169fvYNXWFiI5OTkestZQAEKUMCpAh999BGuuuoqdOjQwakpMi8KUIACAQW4aYuz1s1uUjbctCUwn25Be125iipZlF0XR1eu2jFRx0SuklxM5CqxNdWOLo6uXJJruNwkG1OYuA4k7UjcdHX27Nljqd9fqr36XroYEntJHUk7OttwuUna0eUqMZHUkbhJ6ujy1cWQmOhiSPqr6jQ1V2k7unx15ZJcJblw0xal5P/SXQf+ZzjvCB/zCPgZiQcpQAEKuEfgtddeQ3x8PL946J4hY6YUoEAECXAyHUGDya5QgALRJ+Dd8bB9+/bR13n2mAIUoIADBDiZdsAgMAUKUIACwQq8+uqrGDZsGC6//PJgQ/A8ClCAAhRoggAn003A46kUoAAFmltg2bJlSEtLa+402D4FKECBqBXgZDpqh54dpwAF3C6wY8cOvP/++xg6dKjbu8L8KUABCrhWgJNp1w4dE6cABaJdYNWqVVi6dClat24d7RTsPwUoQIFmE4i6daYbko6JiYFlWdiwYUND1RxTNn/+fGRmZjomn4YSYa4N6TStjLZN86vvbKe7lpWVYdKkSVi+fDkSEhLg9HztzszVrmH2PW3Nenqj0dUrYf5PZct1pp233F/QGXGd6cB0ujU4deUqqmQdSV0cXblqx0QdE7lKcjGRq8TWVDu6OLpySa7hcpOspWviOpC0I3ELVGfp0qXW+PHjFZnnpcs3UAzvud4/TdSRxNDlGko3b1/Vn5J2dLmqOJI+6+royqXt6PLVtSMx0cUIV67SdnT56spVOzpXSS5cZ1op+b8ktv5nOevIJeY/YzAiBShAAQqEUkAthzdlyhQUFBSEshnGpgAFKEABgQCfmRYgsQoFKEABJwls27YNSUlJGDBggJPSYi4UoAAFolKAk+moHHZ2mgIUcLPAggULMGvWLDd3gblTgAIUiBgBTqYjZijZEQpQIBoEvMvhpaSkREN32UcKUIACjhfgZNrxQ8QEKUABCtQKeJfDi4uLqz3IdxSgAAUo0GwC/AJis9GzYQpQgAKNEygpKcGKFStQXFzcuBNZmwIUoAAFQibAO9Mho2VgClCAAmYF1q9fj4yMDCQmJpoNzGgUoAAFKBC0ADdtsdFx0xYbhuG3XPDeMKgtHG1tGAbfOs319OnTSEtL82zO0r17d7+eOi1fvwRtB5irDcPwW9oaBq0OR9fQuKqoypabtjhr3ewmZcNNWwLz6Ra015WrqJJF2XVxdOWqHRN1TOQqycVErhJbU+3o4ujKJbmGy02yMYWJ60DSjsRN1VGbtAwbNkwRBXzp8pW2EzC47aAujq5chdLlatLNlrrfW0k7ulxVUEmfdXV05dJ2dPnq2pGY6GKEK1dpO7p8deWqHZ2rJBdu2qKU/F8SW/+znHWEj3mE7sMWI1OAAhQwInD+/HmsXr0aEydONBKPQShAAQpQwJwAJ9PmLBmJAhSgQEgEdu/e7Yl72223hSQ+g1KAAhSgQPACnEwHb8czKUABCoRFYOvWrZ5NWlq3bh2W9tgIBShAAQrIBTiZlluxJgUoQIGwC6hNWgoLC8FNWsJOzwYpQAEKiAQ4mRYxsRIFKECB5hFYtGgRfvnLX4KbtDSPP1ulAAUooBPgZFonxHIKUIACzSSgNmnZuHEj+Kx0Mw0Am6UABSggEOBkWoDEKhSgAAWaQ0Dtdqg2aWnbtm1zNM82KUABClBAIMBNW2xI3LTFhmH4LRe8NwxqC0dbG4bBt83tWlZWhkmTJmH58uVISEjQ9qy589UmaKvAXG0Yht/S1jBodTi6hsZVRVW23LTFWetmNykbbtoSmE+3oL2uXEWVLMqui6MrV+2YqGMiV0kuJnKV2JpqRxdHVy7JNVxuko0pTFwHknbqc5s7d66VkZGhSETXtS7f+trxNFD9LxN1JDF0uTbFrTH9kbSjy1U6PjoXXbm0HV2+unYkJroY4cpV2o4uX125akfnKsmFm7YoJf+XxNb/LGcduSR0nzUYmQIUoAAFghE4fvw45syZg4KCgmBO5zkUoAAFKBBGAT4zHUZsNkUBClBAIrBmzRoMGzYMAwYMkFRnHQpQgAIUaEYB3pluRnw2TQEKUMBXQN2VnjJlCu9K+8LwZwpQgAIOFeCdaYcODNOiAAWiU4B3paNz3NlrClDAvQK8M+3esWPmFKBAhAmcPXuWd6UjbEzZHQpQIPIFeGc68seYPaQABVwi8PrrryMpKYnPSrtkvJgmBShAASXAdaZt1wHXmbZhGH7LNToNg9rC0daGYfBtuF3Pnz/vWcFj5MiR6N+/f6N7Eu58G52g7QTmasMw/Ja2hkGrw9E1NK4qqrLlOtNhXerva6s0Z5IVn5plFVfWbbiybKe1akaqpdaKjk9bZu0s+7puBcFPXGc6MJJuDU5duYoqWUdSF0dXrtoxUcdErpJcTOQqsTXVji6OrlySa7jcJGvpmrgOJO143XJycqykpCTrzJkziqHOy1unzkGfH3T5SmKYqCOJocu1MW4+DHV+1OUiaUeXq2pQ146kjokYqh1dvrp2JCa6GJL+mshV2o4uX125JFdJLlxnWin5v3TXrP8Zzjviqsc8qr54Fb+ZvBzlvh+QKgqxZMzjKB6yEpXW19iVfgwzxyzHrooq35r8mQIUoIDjBNSz0gsWLMCsWbPQunVrx+XHhChAAQpQoH4B90ym1YR59lvo8P2bfXpzDiUvL8aS5GmYNagjYtES8YMm4ZHk9Zj9cgk4nfbh4o8UoIDjBNSz0uo1dOhQx+XGhChAAQpQoGEBl0ymT2DX82uAqRMx5NrL6vao6jAK1u5Gj24JaFNTEoe+Q27H/rXv4BBn0zUqfEMBCjhPQD0rzbvSzhsXZkQBClBAKuCCyXQVKnatxrMYgwl94vz6VXXoHazdfCV6de4Av85s3oSCQ+f8zuEBClCAAk4R2L17tycV3pV2yogwDwpQgAKNE/Cbfzbu9DDUrijC888CUyf0td159rZbhYrSQ9iPLujWqfa+tLeUf1KAAhRwsoB6VjonJ4fPSjt5kJgbBShAAY2AwyfTJ7DrhXx0mTcBfdo4PFUNNIspQAEK+ArwWWlfEf5MAQpQwH0CDp6hqsc7/oycb/0Ywzu2rEc2Fm06dUUPfILi0op66vAwBShAAecJeFfwUOtKcwUP540PM6IABSggFXDwpi3HkD/zLtz51K56+hKP1Kx8vP5zYNXQcSieuRELB3WornsOJSvT0G3tXSh+fSwSbR8Z+vXrV088oLCwEMnJyfWWs4ACFKCAKYG///3vKCsrw4033ojYWNsvKVMNMA4FKEABlwhw05awrp191Noyo4+FOpu2nLWKs0Zb8TO2WCdrclH1brVSsw5YPnu71NQI9IabtgRS0W9IEK4F7yXtmKgjWUDeRDsmYqgR0+Vrqh1dHF25JFdVRxdHVy6JIdmYQufalHbUxixqgxa1UYuJ/khsTbWji6Mrl+QqGR9JO7o6knZMXAeSa0WXqySGxFbXjsREFyNcuUrb0eWrK5e4SnLhpi1Kyf8l+Tvmf5azjkTA7ZBWSLxvOqYVLsGC/C9QhfMoz1+OJwpHYd59if4rfLjkUxrTpAAFIleAz0pH7tiyZxSgQPQJRMBkGkCbZExbk4mrs+9Ci5jOGJPXBYvXTOKXFqPvemaPKeB4gePHj3vWlX7yySf5rLTjR4sJUoACFNALXKKv4qQaHTBoYRGsACnFxg/AQ9n78VB2gEIeogAFKOAQgTVr1iAhIQGpqakOyYhpUIACFKBAUwRcNpluSld5LgUoQIHmFVB3padMmYKCgoLmTYStU4ACFKCAMYHIeMzDGAcDUYACFAidgLorPWzYMAwYMCB0jTAyBShAAQqEVYB3psPKzcYoQIFoFSgtLeVd6WgdfPabAhSIaAHemY7o4WXnKEABpwg8++yzyMjI4F1ppwwI86AABShgSMDBm7YY6mEjwsTExOCVV15pxBnNW3X+/PnIzMxs3iSErTNXIVQQ1WgbBJrgFJOuanOWSZMmYfny5Z4vHwqab3QVk/k2uvFGnsBcGwnWiOq0bQRWI6rStRFYjayqbLlpi7PWzW5SNty0JTCfbkF7XbmKKlmUXRdHV67aMVHHRK6SXEzkKrE11Y4ujq5ckmu43CQbU5i4DrztZGRkWOqfQC+Jm6SOLl9JDBN1JDF0uXrdAnl5j0na0dWRtKPLVeWja0dSx0QM1Y4uX107EhNdDEl/TeQqbUeXr65ckqskF27aopT8X7pr1v8M5x3hM9ON/ATF6hSgAAUaI7B//34sWrQIR44cacxprEsBClCAAi4R4DPTLhkopkkBCrhT4KWXXsLSpUvRqVMnd3aAWVOAAhSgQIMCvDPdIA8LKUABCgQvsHXrVrz99tvYsGFD8EF4JgUoQAEKOFqAd6YdPTxMjgIUcKvA2bNnMXfuXMybNw9xcXFu7QbzpgAFKEABjQAn0xogFlOAAhQIRuD111/3nNa/f/9gTuc5FKAABSjgEgE+5uGSgWKaFKCAewTUtuEjR47E+vXrcdlll7kncWZKAQpQgAKNFuA60zYyrjNtwzD8lmt0Gga1haOtDcPg26a4qkn0Rx99FNZ14JuSr0E2USjmKmIKqhJtg2LTnkRXLVHQFZQt15l23nJ/QWfEdaYD0+nW4NSVq6iSdSR1cXTlqh0TdUzkKsnFRK4SW1Pt6OLoyiW5hstNspZusNdBcXGxpX6XqD8l7UjcJHV0+UpimKgjiaHLNVxuknZ0uUquWUkdiZukji5fXQyJiS6GpL+qTlNzlbajy1dXLslVkgvXmVZK/i/ddeB/hvOO8JnpoD9L8UQKUIAC/gJqTWm1bXhiYqJ/IY9QgAIUoEDECfCZ6YgbUnaIAhRoLoEdO3ZgxYoV+Oqrr5orBbZLAQpQgAJhFuCd6TCDszkKUCAyBdRSeA899BCys7O5FF5kDjF7RQEKUCCgACfTAVl4kAIUoEDjBNatW+c5YfTo0Y07kbUpQAEKUMDVAnzMw9XDx+QpQAEnCKil8NLT05GXl4fWrVs7ISXmQAEKUIACYRLgnekwQbMZClAgcgUWLFiA8ePHIzU1NXI7yZ5RgAIUoEBAAd6ZDsjCgxSgAAVkAnv37oVawaO4uFh2AmtRgAIUoEBECXDTFttwctMWG4bht1zw3jCoLRxtbRgG30pcz58/j6effho9e/bED37wA4OtNz6UJN/GRw3NGcw1NK4qKm1DY0vX0Lh6r1lu2uK8tbODzoibtgSm0y1orytXUSWLsuvi6MpVOybqmMhVkouJXCW2ptrRxdGVS3INl5tkYwrJdTBz5kwrKSnJOnPmjErd7yVpR+ImqaPLVxLDRB1JDF2u4XKTtKPLVQ26pM+6OrpyaTu6fHXtSEx0McKVq7QdXb66ctWOzlWSCzdtUUr+L4mt/1nOOsLHPEL3YYuRKUCBCBZQXzpcuHAhv3QYwWPMrlGAAhSQCPALiBIl1qEABSjgI6C+dDh48GB+6dDHhT9SgAIUiDYBTqajbcTZXwpQoMkCaqdD9aXDe++9t8mxGIACFKAABdwtwMc83D1+zJ4CFAizgH2nw3bt2oW5dTZHAQpQgAJOE+CdaaeNCPOhAAUcLcCdDh09PEyOAhSgQNgFeGc67ORskAIUcKtASUmJZ6fDPXv2cKdDtw4i86YABShgWIDrTNtAuc60DcPwW67RaRjUFo62NgyDbwO5Ll++HG3atPFMqA02ZSRUoHyNBA5BEOYaAtTqkLQNjS1dQ+OqoipbrjPtrKX+mpQN15kOzKdbg1NXrqJK1pHUxdGVq3ZM1DGRqyQXE7lKbE21o4ujK5fkGi43yVq6vtdBTk6OZ01pda73peuzpB1dDImJquObrzdH75+m2tHF0ZVLcg2Xm6Qdnavqj6TPujq6cmk7unx17UhMdDHClau0HV2+unLVjs5VkgvXmVZK/i+Jrf9ZzjrCxzxC92GLkSlAgQgRUGtKjxw5Ejk5OYiLi4uQXrEbFKAABShgQoBfQDShyBgUoEBEC6g1pcePH48RI0ZEdD/ZOQpQgAIUaLwA70w33oxnUIACUSSwefNmz5rSR44ciaJes6sUoAAFKCAV4J1pqRTrUYACUSegHu94+OGHPY93dOrUKer6zw5TgAIUoIBegJNpvRFrUIACUSqgHu9ISEjg4x1ROv7sNgUoQAGJAB/zkCixDgUoEHUCJ0+e9DzeUVxcHHV9Z4cpQAEKUEAuwDvTcivWpAAFokRAPd5RWlqK7OxsJCYmRkmv2U0KUIACFAhGIOo2benXr1+9ToWFhUhOTq63nAUUoEB0CKgvG547dw433HADYmN5zyE6Rp29pAAFmkuAm7Y4a93sJmXDTVsC8+kWtNeVq6iSRdl1cXTlqh0TdUzkKsnFRK4SW1Pt6OLoyiW5hsutoY0p8vLyLPW74JZbblHpNPjS9bmhdryBdTFUPUkd3XUriWGijiSGLtdwuUna0eUqHR+di65c2o4uX107EhNdjHDlKm1Hl6+uXLWjc5Xkwk1blJL/S2Lrf5azjvCWS3N9DGO7FKCA4wTsq3e0atXKcfkxIQpQgAIUcJ4AJ9POGxNmRAEKNJOAWr2jZ8+eXL2jmfzZLAUoQAE3CnA1DzeOGnOmAAWMC+Tm5nJzFuOqDEgBClAg8gV4Zzryx5g9pAAFNAJq5Y6RI0dycxaNE4spQAEKUMBfgJNpfxMeoQAFokjg7NmzeOyxx5CRkcHHO6Jo3NlVClCAAqYE+JiHKUnGoQAFXCmwbt067Nu3D5s2bXJl/kyaAhSgAAWaV4CT6eb1Z+sUoEAzCpSUlCA9PR0FBQWIi4trxkzYNAUoQAEKuFUg6jZtaWigYmJi8MorrzRUxVFl8+fPR2ZmpqNyqi8Z5lqfTNOP0zY4w/Pnz2POnDlQGzmNGjXKL4ibXFXybsqXufpdbsYO0NYYZZ1AdK3DYfQHZctNW5y1bnaTsuGmLYH5dAva68pVVMmi7Lo4unLVjok6JnKV5GIiV4mtqXZ0cXTlklzD5aY2pvjVr35lDRs2zDpz5oxq1u9l4jrgBhh+rJ4DOttwuUna0eWqOiS59nV1dOXSdnT56tqRmOhihCtXaTu6fHXlqh2dqyQXbtqilPxfElv/s5x1hI95GP18xWAUoIAbBLZu3Yo//OEPKC4uRuvWrd2QMnOkAAUoQAGHCnA1D4cODNOiAAVCI6CWwVOPdcybNw+JiYmhaYRRKUABClAgagQ4mY6aoWZHKUABtQze5MmTMWXKFNx+++0EoQAFKEABCjRZgJPpJhMyAAUo4BaBZ555BmVlZZg1a5ZbUmaeFKAABSjgcAE+M+3wAWJ6FKCAGYEdO3Z4Vu9Qz0m3atXKTFBGoQAFKECBqBfgnemovwQIQIHIF1DPSQ8cONCzXTifk4788WYPKUABCoRTgOtM27S5zrQNw/BbrtFpGNQWjrY2jABv1XrSTz/9NBISEjwbtASoEvCQm1xVB9yUL3MNeMkZOUhbI4x+QejqR2LsgLLlOtPOWuqvSdlwnenAfLo1OHXlKqpkHUldHF25asdEHRO5SnIxkavE1lQ7uji6ckmuoXCbO3eulZSUVGc9aclauiauA0k7EjdJHV2+khgm6khi6HINl5ukHV2ukmtWUkfiJqmjy1cXQ2KiiyHpr6rT1Fyl7ejy1ZVLcpXkwnWmlZL/S3cd+J/hvCN8ZtrYZysGogAFnCawefPmmuekuZ6000aH+VCAAhSIDAE+Mx0Z48heUIACPgIlJSUYMmQI8vLyuJ60jw1/pAAFKEABcwKcTJuzZCQKUMAhAuo56Z/+9KeYO3cuUlNTHZIV06AABShAgUgU4GQ6EkeVfaJAlAu88MIL6NmzJx566KEol2D3KUABClAg1AJ8ZjrUwoxPAQqEVWDZsmU4fPgw/vM//xN8Tjqs9GyMAhSgQFQK8M50VA47O02ByBRQG7OorcInTpyITp06RWYn2SsKUIACFHCUAO9MO2o4mAwFKBCsgH1jlthY3icI1pHnUYACFKBA4wS4aYvNi5u22DAMv+WC94ZBbeFoC5w+fRqPP/44+vXrh1GjRtl0gn/rJlfVSzfly1yDvy51Z9JWJxRcOV2Dc5OcpWy5aYvz1s4OOiNu2hKYTregva5cRZUsyq6LoytX7ZioYyJXSS4mcpXYmmpHF0dXLsk1GLczZ85Y48eP9/yj3ktiSDamMHEdSNqRuEnq6PKVxDBRRxJDl2u43CTt6HKVXG+SOhI3SR1dvroYEhNdDEl/VZ2m5iptR5evrlySqyQXbtqilPxfuuvA/wznHeFjHpKPTaxDAQo4VuCZZ57Bvn37sGnTJn7h0LGjxMQoQAEKRK4AJ9ORO7bsGQUiXmD16tWeHQ6PHDmCuLi4iO8vO0gBClCAAs4T4Ld0nDcmzIgCFBAIqJU70tPTUVBQwJU7BF6sQgEKUIACoRHgZDo0roxKAQqEUMC7ckd2djYGDBgQwpYYmgIUoAAFKNCwACfTDfuwlAIUcJjAV199hREjRmDp0qVIS0tzWHZMhwIUoAAFok2Ak+loG3H2lwIuFjh79iz++Mc/erYKHzdunIt7wtQpQAEKUCBSBDiZjpSRZD8oEOECaiI9depUTy+fffZZrtwR4ePN7lGAAhRwiwA3bbGNFDdtsWEYfssF7w2D2sJFi+369es9C/vPmjUL7du3twmE5q2bXJWAm/JlrqG5Znkd0NVt14A3X27aEuq1s08XW5sXpVnxgAXEWykzVltFZV/7tVpZttNaNSPVUhuvxKcts3YGqON3ks8BbtriA1L9o25Be125CiNZlF0XR1eu2jFRx0SuklxM5CqxNdWOLo6uXJJrfW5Lly61kpKSrCNHjhgZY8nGFCauA0k7EjdJHV2+khgm6khi6HINl5ukHV2u9V2z6rj9pXPRlatYkjq6fHUxJCa6GOHKVdqOLl9duWpH5yrJhZu2KCX/l8TW/yxnHXH2Yx5Vn2HjC/nAPUtRZlmoLFuHe758Cn3HLMeuiqraj6AVhVgy5nEUD1mJSutr7Eo/hpm+dWpr8x0FKOAigdzcXEyZMgVqc5ZOnTq5KHOmSgEKUIAC0SDg6Ml01aeluOK+sfh+YjvPWMTGD8CDcx5C6raX8HLh8erxOYeSlxdjSfI0zBrUEbFoifhBk/BI8nrMfrkEtil3NIwn+0iBiBJQa0mPHDnSs5Y0l8CLqKFlZyhAAQpEjICjJ9OxNwxASseWdbBjr+2MXvG2Q1WHUbB2N3p0S0CbmsNx6Dvkduxf+w4OcTZdo8I3FHCTgJpIDxw4EDk5OVxL2k0Dx1wpQAEKRJmAoyfT9Y7F5f3Rr9vFu9VVh97B2s1XolfnDvDrzOZNKDh0rt4wLKAABZwp4N2URa0lrdaU5osCFKAABSjgVAG/+adTE72YVxVOFW3D3glpSPXcsa5CRekh7EcXdOtUe1/a2X1gdhSgQEMC9k1ZJk+e3FBVllGAAhSgAAWaXcBdk+mKIvwxuwPmTehre6Sj2Q2ZAAUoYEhA3ZFesGABhg8fDk6kDaEyDAUoQAEKhFTARetMn8CuZ36HfUMfwtjuFx/xUDJVJSsxtNtz6LVlExYO6lCNVYVT+Q+j+52H8GTxaoxNbFWD2K9fv5r3vm8KCwuRnJzse5g/U4ACYRA4f/48PvroI1x++eX41re+hdhYd33WDwMRm6AABSgQkQJcZzosS/19bZVu+L216sBJ/9YqD1hZqbdaM7YctZWdtYqzRltIzbKKK22HNW+5znRgIN0anLpyFVWyjqQujq5ctWOijolcJbmYyFVia6odXRxdeUO5qvWj1TrS48ePt9auXauq1vuStKOrI1lL18R1IGlHl6uCkNTR5SuJYaKOJIYu13C5SdrR5SodH52Lrlzaji5fXTsSE12McOUqbUeXr65ctaNzleTCdaaVkv9LYut/lrOOuODWz3mU56/Ey21/hJ/V3JE+hYPZL2LbqSogtjMG3t8RL+Z9gFM1n9cqUFr8BVLvvxVdXdDDmrT5hgJRKKC2CX/sscfQs2dPqG3CW7asu4JPFJKwyxSgAAUo4CIBh081T6Ek97cYc+evMe3OTmgREwO15XdMzBW4cc0/kdBGpd8KifdNx7TCJViQ/wWqoCbfy/FE4SjMuy/Rf4UPFw0OU6VApAuoifTUqVM93VQT6datW0d6l9k/ClCAAhSIMAEHT6bP44vc2UgZOR/b/NDj6951bpOMaWsycXX2XWgR0xlj8rpg8ZpJ6OOZbPudzAMUoIADBDiRdsAgMAUKUIACFGiywCVNjhCyAC3RccQylFnLRC2o3REfyt6Ph7JF1VmJAhRoRgFOpJsRn01TgAIUoIBRAQffmTbaTwajAAUcIsCJtEMGgmlQgAIUoIARAU6mjTAyCAUoIBGoqqriM9ISKNahAAUoQAHXCHAy7ZqhYqIUcLeAuiP92WefeTrBLxu6eyyZQum4pwAAIABJREFUPQUoQAEK1Aq4aNOW2qRD9U6tFGJZFjZs2BCqJozGnT9/PjIzM43GDFUw5hoqWcANtmqL8D//+c/Yt28fli1b5orl79zgar+q3JQvc7WPnNn3tDXr6Y1GV6+E+T+VLTdtcda62U3Khpu2BObTLWivK1dRJYuy6+LoylU7JuqYyFWSi4lcJbam2tHFqa/cviFL3759VcoNvuqL4z1JV67q6epINqYwcR1I2tHlKumPqqPL11Q7uji6ckmu4XKTtKNzlY6PzkVXLm1Hl6+uHYmJLka4cpW2o8tXV67a0blKcuGmLUrJ/yWx9T/LWUf4mIf5D1mMSAEKVAuUlpZixIgRNRuycItwXhoUoAAFKBBpApxMR9qIsj8UcIiA70SaG7I4ZGCYBgUoQAEKGBXgZNooJ4NRgAJKYO/evZ470sOHD/dsEc6JNK8LClCAAhSIVAFOpiN1ZNkvCjSTwI4dO/Dd734XaWlpmD17NrcIb6ZxYLMUoAAFKBAeAU6mw+PMVigQFQJqIj1w4EAsXboUkydPjoo+s5MUoAAFKBDdApxMR/f4s/cUMCawdetWz0Q6Ly+PE2ljqgxEAQpQgAJOF7jE6QkyPwpQwPkCau1otRFLQUEBBgwY4PyEmSEFKEABClDAkAA3bbFBctMWG4bht1zw3jCoLVxz2p4/fx5/+tOf8OGHH2LixIm4/vrrbZn5v23OXP2zafiIm3JVPXFTvsy14WuvKaW0bYpe/efStX6bppYoW27a4qx1s5uUDTdtCcynW9BeV66iShZl18XRlat2TNQxkaskFxO5SmxNteMbR23uMH78eCspKclSG7P4lqvcfF8mbCXt6OpINqYwkaukHV2uylBSR5evJIaJOpIYulzD5SZpR5erdHx0LrpyaTu6fHXtSEx0McKVq7QdXb66ctWOzlWSCzdtUUr+L4mt/1nOOsJnppv6kYrnUyAKBdQa0nfddZen55s2bUKnTp2iUIFdpgAFKEABCgCcTPMqoAAFGiWgVuxQuxqmpKR4npOOi4tr1PmsTAEKUIACFIgkAU6mI2k02RcKhFhg8+bNnhU71BrSTz31FNeQDrE3w1OAAhSggPMFuJqH88eIGVLAEQKvvfYaXnjhBail71JTUx2RE5OgAAUoQAEKNLcAJ9PNPQJsnwIOFzh79iymTp2Kbdu2Yc+ePejVq5fDM2Z6FKAABShAgfAJ8DGP8FmzJQq4TkB90fD222/35D1r1ixOpF03gkyYAhSgAAVCLcB1pm3CXGfahmH4LdfoNAxqCxcq24MHDyIzMxPDhw/Hj3/8Y7Rs2dLWanBvQ5VrcNk0fJabclU9cVO+zLXha68ppbRtil7959K1fpumlihbrjPtrKX+mpQN15kOzKdbg1NXrqJK1pHUxdGVq3ZM1DGRqyQXE7lKbINpZ+nSpZb6+5Cdna2a8Lx0cXTlKogJW0k7ujqStXRN5CppR5ercpPU0eUriWGijiSGLtdwuUna0eUqHR+di65c2o4uX107EhNdjHDlKm1Hl6+uXLWjc5XkwnWmlZL/S2Lrf5azjvCZ6aZ+pOL5FIggAe/z0fv27ePW4BE0ruwKBShAAQqEToDPTIfOlpEp4CqBkpKSmuejc3NzMWDAAFflz2QpQAEKUIACzSHAyXRzqLNNCjhM4L333kO3bt08z0c/++yz3NHQYePDdChAAQpQwLkCfMzDuWPDzCgQcgH1WMejjz6KRYsWcf3okGuzAQpQgAIUiEQB3pmOxFFlnyggEPA+1qH+XLFiBTdiEZixCgUoQAEKUMBXgJNpXxH+TIEoEFDPRHsf6/jTn/6E9u3bR0Gv2UUKUIACFKCAeQE+5mHelBEp4FiB48ePY8GCBXysw7EjxMQoQAEKUMBtAty0xTZi3LTFhmH4LRe8NwxqCye1/fTTT/Hcc8+hc+fOeOCBB5rlbrQ0V1v3mu2tm3JVSG7Kl7mG7rKmbWhs6RoaV+/vLm7a4qx1s5uUDTdtCcynW9BeV66iShZl18XRlat2TNQxkaskFxO5SmzXrl1rzZ07t2YTljNnzqjT6rxM5CKJYcJW0o6ujmRjChO5StrR5aoGSlJHl68khok6khi6XMPlJmlHl6t0fHQuunJpO7p8de1ITHQxwpWrtB1dvrpy1Y7OVZILN21RSv4via3/Wc46wsc8Qvdhi5Ep0OwC6suFTz/9NCzLwp49e9CrV69mz4kJUIACFKAABSJJgF9AjKTRZF8oUC2glrxbvXq150uG3/72t7F9+3ZOpHl1UIACFKAABUIgwDvTIUBlSAo0p4C6Gz1jxgyUlZV5tgQ/evQoWrdu3ZwpsW0KUIACFKBAxArwznTEDi07Fm0C9rvRiYmJ2LRpE7cEj7aLgP2lAAUoQIGwC/DOdNjJ2SAFzAvY70bn5eVxAxbzxIxIAQpQgAIUCCjAO9MBWXiQAu4QUHejjx075nk22ns3OjU11R3JM0sKUIACFKBABAjwznQEDCK7EJ0Ce/fuxW9/+1v89a9/5Uod0XkJsNcUoAAFKOAAgajbtKVfv371shcWFiI5ObnechZQwAkCFy5cwN/+9jeUlpaiU6dOuPbaaxEby//J5ISxYQ4UoAAFKNB4AW7a4qx1s5uUDTdtCcynW9BeV66iShZl18XRlat2TNQxkaskl2ByzcvLs5KSkqxhw4ZZxcXFngHT5RtMO57APv/SxdGVq3C6XFUdXRxduSSGZGMKE7lK2jHRH4mtqXZ0cXTlklzD5SZpx8R1ILkmJW6SOrp8dTEkJroYkv5KrgNT7eji6MoluUr6zE1blJL/S3fN+p/hvCN8zKPxH6B4BgXCLqC+YLho0SKsWLECOTk5GDp0KJe7C/sosEEKUIACFKCAvwD/37C/CY9QwDEC58+fx7JlyzxfMLzqqqvw1VdfYcSIEZxIO2aEmAgFKEABCkS7AO9MR/sVwP47ViA3Nxdz5szBTTfdxC8YOnaUmBgFKEABCkS7ACfT0X4FsP+OE7CvGT1y5Eg8+uijvBPtuFFiQhSgAAUoQIGLAnzMg1cCBRwioFbnUNuAd+vWzbOqjNrBsH///pxIO2R8mAYFKEABClAgkAAn04FUeIwCYRQ4fvy457no6667ztNqcXExZs+ejbi4uDBmwaYoQAEKUIACFAhGIOrWmW4IKSYmBpZlYcOGDQ1Vc0zZ/PnzkZmZ6Zh8GkqEufrrqC8X7t6927M6h5o433vvvejevbt/Rc0R2mqAgix2k6vqopvyZa5BXpSC02grQAqiCl2DQBOeomy5zrTzlvsLOiOuMx2YTrcGp65cRZWsI6mLoytX7ZioYyJXXS5qveiuXbt61ozOyckJDC/sjy5fEya6/kjKVR1drpI4JvojWUvXRK6Sdkz0R2Jrqh1dHF25JNdwuUnaMXEdhOu6ltjqxkdioosh6a+JXKXt6PLVlUtyleTCdaaVkv9L8nfM/yxnHeEXEIWfnFiNAiYEduzY4VkvuqysDPxyoQlRxqAABShAAQo0rwCfmW5ef7YeJQJqEj18+HAMHDgQgwcPBr9cGCUDz25SgAIUoEDEC3AyHfFDzA42p4DvJFptujJ58mR+ubA5B4VtU4ACFKAABQwKcDJtEJOhKOAVUJNo9aUK751oTqK9MvyTAhSgAAUoEFkCnExH1niyN80sYL8T3bNnT8/237wT3cyDwuYpQAEKUIACIRTgZDqEuAwdHQJnz56FfRKtnolWd6J/8IMf8HGO6LgE2EsKUIACFIhiAa7mEcWDz643TUBNol9//XUsWLDAE0jdgV65ciUn0E1j5dkUoAAFKEABVwlw0xbbcKlNW1555RXbEWe/5SLyoRkfnevp06fx9ttvY+vWrZ4E1BJ3vXv3RsuWLUOTkCaqLl/N6WEtZq6h46ZtaGzd5KoE3JQvc+U1671muWmLs9bNblI23LQlMJ9uQXtduYoqWZRdF0dXrtoxUae+XIuLi625c+da6jpRdQoKCqwzZ84ERhPkYiJXia2pdnRxdOWSXCVjKGlHV0eyMUV914F9wE20o4shMZHYmmpHF0dXLslVMj6SdnR1JO2YuA4kY6jLVRJDYqtrR2KiixGuXKXt6PLVlUtcJblw0xal5P+S/B3zP8tZR/jMdGg+GDJqhAjYn4fu1q0bTpw4gT179ni2cR8wYABat24dIT1lNyhAAQpQgAIUCEaAk+lg1HhOxAscP34cq1evxu23316zvN2RI0fw1FNPoVevXhHff3aQAhSgAAUoQAGZAL+AKHNirSgRUKtyqElz+/btMWzYMDz55JO47bbbeAc6Ssaf3aQABShAAQo0VoCT6caKsX7ECai70K+++iqWLVuG999/H506dfI8ysE70BE31OwQBShAAQpQwLgAH/MwTsqAbhDwPgs9Y8YMz13o3NxczJo1y7M+dEJCAh/lcMMgMkcKUIACFKCAAwR4Z9oBg8AUwidQUlKC1157DfPmzfPchV66dCnvQoePny1RgAIUoAAFIk6Ak+mIG1J2yFfA+xiHuvu8ceNGqB0Kn3nmGc/a0FyNw1eLP1OAAhSgAAUo0BgBbtpi0+KmLTYMw2/DvTi/2ljl448/9mzz/eabbyI5ORn9+/dH37590bZt2wZ7F+5cG0xGUOimfJmrYECDrELbIOE0p7nJVXXFTfkyV83FF2Sxm1y91yw3bXHWutlNyoabtgTm0y1orytXUSWLsuvi6MrVZgOPPvqoNX78eM/GKklJSdbSpUutI0eO1OmYLo6JXFWDunZ05ZIYEltT7eji6MoluUr6LGlHV0eyMYWJ60DSji5XiYnE1lQ7uji6ckmu4XKTtGPiOpCMocRNUkeXry6GxEQXQ9JfyXVgqh1dHF25JFdJn7lpi1Lyf+muWf8znHeEj3kE+cmPpzlDQD3CUVRUhHXr1mHFihXo2rUrHnzwQT4H7YzhYRYUoAAFKECBiBfgZDrihzjyOlhaWoq//OUvNRPopKQkpKWleSbQhw8fxvDhwyOv0+wRBShAAQpQgAKOFOBk2pHDwqR8Bfbu3YutW7di1apVni8Rqg1VRowYgYyMDCQmJtZUV5NpvihAAQpQgAIUoEC4BDiZDpc022mUgHp848CBA9i+fTs2bNjgWcZOrcKhJs9qcxW1sQpfFKAABShAAQpQoLkFuGlLc48A2/cIqE1UPv30U6xevdrzmIbazvuhhx7ylKll7M6cOYNJkyYhNTWVE2leMxSgAAUoQAEKOEaAd6YdMxTRl4jaQOXDDz/Ee++9h0WLFnkAxo8f73n+mXefo+96YI8pQAEKUIACbhTgOtO2UeM60zYMw2/Vupfp6en4/PPPUVxc7Hl0QzWhHt34zne+g86dO6Njx45o2bKl4ZYbH86Na3RmZmY2vqPNcIabbN2UqxpKN+XLXEP3l4+2obGla2hcvb+7uM6085b7CzojrjMdmE63Bmeg8jNnzlh79uyxsrOzrYyMDM+6z8pXrQGtjhUUFFiqjv0VKE5jylVdXQxJHcmalybaMRFD9UeXr6l2dHF05ZJcJeMjaUdXR7KWrs5VkqukHV2uknYktqba0cXRlUtyDZebpB0T14FkDCVukjq6fHUxJCa6GJL+Sq4DU+3o4ujKJblK+sx1ppWS/0t3zfqf4bwjfMwjdB+2oiqyemRDraSh1nwuLCz0rLihANQXBm+++WbPP+o4t++OqsuCnaUABShAAQpEvAAn0xE/xOY76J04qz/37dvn2SxFtaKWq1Pbdk+cOBFPPfVUnSXrli9fzom0+aFgRApQgAIUoAAFmlmAk+lmHgAnN6+Wpzt27JjnC4JqoxT7xFltlJKSkoKhQ4d6nnmeMGECJ8tOHkzmRgEKUIACFIgCAbU6mFoFbNSoUXVu6oWy65xMh1LXJbG9k2b1mMaXX37pWWFj27ZtnrWdVRfUlwTbtWvnmTirxzauu+66OhNntQ40H99wyWAzTQpQgAIUoECEC5w4cQLdunXD3LlzoW72xcXFhbTHnEyHlNc5wdUntSNHjuDo0aP461//ioMHD0JdbN4l6VSm6jENtZtg//79Pe+vvvpqz89qsswtup0zlsyEAhSgAAUoQIHAAurmnnrUVC21O2PGDMyZMwc5OTmeG4KhuvHHyXTgsXDlUfUMs3qptZvV68UXX8Q777xTZ8Ksjqu7y1deeaVn0rxkyRLcfffdYftfIZ7E+C8KUIACFKAABSgQQgF1c1DdDMzNzcWCBQs8m8Kp+c+AAQOMt8rJtHHS8AVUd5p/+ctf1nwB0Nuy+jR21VVX4Zvf/KZnwrxnzx5cfvnlfo9nqPrqQlMXHF8UoAAFKEABClAg0gRGjBjhuSudlZWFgQMHem4oqnmSyblP1G3aojZm4YsCFKAABShAAQpIBdRKVWp5Vze83JSr8myufL/66itjz1LHuuHCMJmjZVmo7x/VTn1lTjyuLkAn5hUoJ+Za/3UXyKsxx2gbGls3uarrxU35MtfQXLO8DkLn6qb5gZtyVddsOPJV/ydfPeKhXkuXLsWZM2eMTaRVzKibTHsk+S8KUIACFKAABShAgYgWUIsvLFu2zPOYq+pocXExJk+ebHwFMj4zHdGXETtHAQpQgAIUoAAFok/A+8XDhIQEFBQUhOSLh15VTqa9EvyTAhSgAAUoQAEKUMDVAmrvjLFjx6KsrAyzZs0K6ZJ4XihOpr0S/JMCFKAABShAAQpQwNUCai1ptdncmDFjjD4X3RBKhD8zfR7lu17EzDsSEBPTA+nP7EB5VUMcLKMABShAAQpQgAIUcKuAmkyr56JDveuh3SeCJ9NVqNi1HGOmf4Ihaw7DqtyE9KPzMWZJISrsAnwfFoF/+7d/C0s7bIQCFKAABShAAQqEUyBy15muOoiVQ8eheOZGLBzU4aLpqXzM7P48um1bjbGJrcLpzLYoQAEKUIACFKAABSJQIGLvTFcdegdrN3dEt05taoet3S0Y8rMvsLbgMPi0Ry0L31GAAhSgAAUoQAEKBCcQoZPpczhUsAmb47ui87UtfWS+xua17+AQZ9M+LoZ+rChBfu4aLE4fgpn5xwIGrSovRPbMIVC7USakL0dh+fmA9XiwChUleVic3sNjFRMzBDOzCwM+90/T4K+WqvIdeMZrfMds5Jac8g9WVY5d2TNxR0wMYhLS8UxhOT+Q+ysFOHIeX+RORsKQlSjx+Z3LazYAV2MOqf/TmhBT/btB/XkfVpacs0Xgd4ZsGI1+W1W+CxvXL0a6Mk6YjfxTtRcwr91Gcvpdq97rNgFDVh60/S517zUboZPpCpQWfwL06IpObSK0i428lsNSXT1a88DDyM6Zj4zVXwVusqIQS8Y8juIhK1FpfY1d6ccwc8xy7Kqo/UUV+MToO1r1xSa88L/APcv3wbK+RtnOe/Bl5nD/5/5pGvzFUbEPGza3wAP/uR9WZRl23vMFJqcsqPMfTuAEdi2ZiOnFg7Gm0kLlrp/i6MyJWLLrRPDtRsmZVV+8it9MXo5y3/7ymvUVaeTP5/HFm7l40Q6behcGdvU+vsjvDDUS1Fb9PMoLl+MXfX6O3MPXIX3bSVhl8zCoXfVcgteuzUrytgqnit6se63WnDYQ9w/sXL17oMuvWSsiX0etLTP6WEjNsoor7R2s77i9Dt83VaCyOMtKRR9rxpajPqHOWsVZo634GVuskzUlakxutVKzDlh1hqqmPFrfnLUObX3XKq2DctEP8ZnWlpPeApoGf4UEMD65xZoRX/fa9VzPdcwrrZNbMq14v98vwWcSkWee3mktSnvQmpF2s8/vYl6zTR5vZZv6iO33gE/EygNWVuqtdX8He67t0VZW8VmfyvyxVqDSOl20xEqJT7OW7CwL8N8kXru1VtJ3R60ti5ZYW8q+rnuCuh7vts3RXH7NRuht2zbo1K0LsP8QSnnHs+YzYLO/qTqMgrW70aNbAmqfZI9D3yG3Yz8fvfEZnla4IaU/Otb5G9oS13buinh7TZraNRr53t+46svD2NvtJ7gvOa46VvUjY3X+L1cs2vUdjJ/t34SCQ/b/rd7I5iO6+gnsen4NMHUihlx7Wd2e8pqt69Hon6pwqnADlmxegSfmZiE3v8RvhSp+Z6jRqBdPqCjC89NfQpdlj+PB5PjqO6a2WLx2bRjCt1VV6HTvOAyKtz9yew4l67Owd8St6Fr93zi3X7N1/lMtpHFBtVboOvAupPpmWnUMh/eeQOr9tQPoW4U/h07g4l+WK9Grcwf/X1KbOTGRyl8+tC+6VT++RFOpmq7eKZTkr0Tm3HLMXDMJfbyPh3n+41mA+F6dca3fb8sCfpk5IKv637Wr8SzGYEIf74eS2oq8ZmstgnpXVYL1C1ehHOXY9tS/YeSdKfjRzFyU1Nw44neGgnLFOZS8vBgZuBMDqtbhF57n0XsgfXFejS2v3SBkY7+BxBva1T1R/V7NvRq/GtKlei7g/mvW7z8PdXvs3p9iu96K+3tsR17R8dpOVJSheH9v2zM6tUV8F2qBKlSUHsJ+dKm7wkqom42o+MdRlPcFJkwcVH3HmqZGhtfz5Zgr0O3OcXhq9VvIe/eT2jt9nt8Z8Pm/KUZajdwg6u7es8DUCX1t/wfK211es16JoP+M7Y6xeWWeZ/yLNvwRM1KAbU9Nxq+eL6q+bvmdoaBsq+86pyTfjJ4DpiK7rBKnD0wHlvyi2pbXblCuAU5SH0pyb7oHgzt671a7/5qN2Mk0YhNx37xRKHxiOfLVahFVXyB/wRIUTpuO+7jGdIDLm4ecLaDu9q1B9tWTMKHPlc5O1W3ZtRuEhWUWKst2YtUM4KmRo/Fg7me2b5i7rUPNme8J7HohH13mTai9u9+c6URy27Hx6DPsl1i45X1syeyBbUs2oNC24kQkdz0kffN8cL4SyUOGoo/nkYRYtOl+P+Y8ORDbMhbj5TorpYQkgygJqu5CF+KmIbfA5361q/sfuZNpxKJNn0lYs7ADsvtchpgWY5HX7TdYMy05wN0SV4+hS5KPRZtOXdEDn6C4lHtQNnrQKorwwstXIbPO3T6aNtqxgRNi45ORPv93yEr9Cq/v/PjiXb42CejWA9hfXFZ7t7qBGNFdpD7w/Rk53/oxhtfccfIV4TXrK9Lkn2M7YtCsmZiBzdX/J5bfGQrG1PN9CfvqKJ4g3kdG1X+3zvC/YcHA+p7jecTjGxjS1/4ImPuv2QieTKsRbIn45EnILrNgWXlYmJ6M+Ajvse9166SfPY/epPp8GQnn8eXhQyivs6yTk7J2QC5Vn2HjC59i6CM/QXfvs7zVadHU8PjEdsbA+wfWBvX9ubrk4n947cs61Z4Sve+Oo/DlFZg/sjNaqPW4Pf9cjTuf2gVsHoduLS6uKQv1CB5/D5i9TDwf+rpVP0LnnQD6NMHvDPmA1P0x9trO6BVfhr2HjwX4v1IXH0/k79u6ZsH8dPERjxT09S416Ani/muWU8tgrgaeE5yAZ2LSES/mfYDabTHUs1Jf8Euh9Ymqx5N+9zraPnBv7US64kNkr9xx0ZCm9ckFeVxdjycxtN8N1f8H6+Iv+R4vvomimv+FXv3sJD8A+hh3wKCFRbAsdfPC+89RbJnRB0jNQnFlGfLGdkcsr1kfNwM/VpThUJ9xGFX9CCO/MxSEqWeH5ATs3/EX28ZYPn/Xee0GAWs/pf5HPNx+zXIybR9nvg+xQCsk3jcd0wqXYEH+F6jCeZTnL8cThaMw775E/xU+QpyN48NXHERu5ljcOe3XuDPhstqdztqmYg3a10z2aBrkSFZ9htxxfXHHzBexy7ML58XrceGXY5CRel3N9RibOALzph3AEwu2eP4jW1W+BQueOIBp80Ygkb9Bg8Dn74Eg0GpO8ezMt3FXzYTPs4Pn3N0YPGVg7TOo/M5QjZf8TQekTJ2Noa8/itmrPvQ81lVV/i6ysj+z/V3ntSv3DFAz4CMe1fXcfs3WXUWbP1GgKQLVm+IAFrz/BNjYorKswFqiNnJAvJUyY7VV5LuYe1NSiJRzKw9bOWOVkc2y5r3/xgs0DWbgT1oHssZa8V7X+DRrUU6RVebdD8cesrLM2rkk7WLdlBnWqqJAGzrYT+D7iwL1b5TFaza4a6SybLOVmRJ/8XeDumbXbbWKTwe6aL+2ynYus9Li1e+QVGvGqp2Br+3g0ojQsyqt08WbrEWe/z7BQj1/13ntBjf8lcWrrLGLdlqn6z3dvddsjOpTgM8PPEQBClCAAhSgAAUoQAEKaAT4Pyk1QCymAAUoQAEKUIACFKBAfQKcTNcnw+MUoEAUCFShomQb1i9OR9eZ+dVfjA10TFGcxxe5k5FwxzPYVbPbXLiJnJBDdZ+ryrErey4W5x9rEkLVF7kYl/BDLN51oklxQn/yMeQvXoDcktqvT4e+TbZAAQq4QYCTaTeMEnOkAAVCI3BqG55IuQOjM1bjjLeFQMe8ZfzzooBaZebhx/By25GYMKhDlKh0QMpPbsNnc8djtucL1FHSbXaTAhTQCvCZaS0RK1CAAkYFqo5g21sX8K8p19esmGE0fmODVR3EyqGD8HCv/8LBhYMurogQ6Fhj45qo7zQrT59OYNfiSXiuyzy8MOJbzhjDhqxNG1Z8iJUPrgAyHsfY7pG0h1tDiCyjAAUaEuCd6YZ0WEYBChgWqELFnlfw4idfG44bieGcaVVVkovZb9yJmcNdMJFGCAzb3Iyfz7wFax9cj5KqSLzu2CcKUKCxApxMN1aM9SlAgeAFKorw/PRnURp8hOg505FWx7AtKwu4/1Z0dcN/PUJk6NlgAlnI2ta058Wj52JmTykQ2QJu+HUY2SPA3lEgWgQqCrH4R8ORse1jbB53I1rE9MXM/L/ZvgD4Gg4WLkd6Qg+kr/RumlCI7JlDqjesScAdM3NRor78px7DGJJQu5FNwmzkqx0K7ceHrKy+c6i+UJiHxek9LtZPSMfiN0o8mzI0ir6iBPnrFyO9a3Vb6q6n58uL4/DDlX/BqZJczLyVhI+JAAAKIklEQVRD5VSbf038ihK8sTgdCZ4ttodgZu7BhtsPaHUMqDeHi1+gPFG+A894+pmAO2a/gfKq8yjf9WL9eeEUSt54BukJF7f/Tkh/Bm809AW7Ux8g78WOuH9gZ9vjHV6HYHI4hZL8tVicPgQza77I6D02DitL/oaS3Nm4Q7kljMPKg+rLf+dQsvK+6rG/DytLzgE4hvyZfavHt3p86jNUg1JnPHogfXHexevKM2CnatpMSF+M3MIdKNxzvGYoPW8C7oRXtwp/ogAFokig3rWzWUABClDAtEDlASsr9QYrNeuA5dlm4uQWa4ZnUwlY8WnLrJ1lf7WKFg23UtTC/p66fayxOYetSqvSOn1glZUWH197rvW1VZozyYqPz7S2nLRtWlFZbOWsKqreGKDSOl30e2vGkoLqDSu8cfpYM7Ycvdg7TzvxVvyMLdZJb3/9jtk2JPK2V5N7vJUydr61aqfayKXSOrkl04qHfWMdde6tVkrm5os5nN5vZXk3hYAtD2/b3j99rayGclB+i6wcz2Yyqs9LrBTcbKUt+rO1pVj16murbMtvrZQ6ef3dKlryiLXEk7dqtHoTG2//vHnU/FndN9/yGofG5uC1UpuKeB3sx1KssYtesnZ6NnXy3fzFW8/ufNYqzhptwZ6fn6FlWad3Wktm/L46rvr54nh4x7+yOMu6e2yOVVp9SVWWbrJWba2+VmosqtsKsClVTRW+oQAFokaAd6aj6IMTu0oBxwm0G4SFB7dgRjyAa29E9/hvoM/0V7B1enL1dumXocOV/4JYxKJNYj/c3uNyWxdaouPgEfgZPsDuj7zLlalnZD8AvndT9fnHUfjyCjw1bSASWqi7ry3Q9safY3X5LryY90H1Uni2kPW+7YBBCwtQnDW6toYt95YDhuNnyfEX8+zUFT3wCYpLKy7W9dzN/RrJg7+LePUbt813MCr9R4hPWYKi04VYKF4No54cSg8gKzUeuLY3BvepzuHbPZEc/xW+jOuJlET1JbmWuKbTdWhZJ6/deHnRE5jWLwEtPHfMr8CN41aivHwz8op87sR6enIeXx4+hPJagYvvlENQOcSi3aB5KC3OQmpNTHXsSRzckol4XI0B94xAcnxLhYZO3boA+w+htEnLElbhVOEGLHrq1+iXcNnFO9lte2Dc6g9R/uKbKDp1BocKNmH3hU+wc0851CPRsR2HID3Fd8WSlri2c1fENzmfmo7zDQUo4GIBTqZdPHhMnQIRLRDbHWPzdmBhyj+xa+MaLP7FaIzbXLOA3cWut7sV4568HEuey8cXauZTdQRbPozH4MRWF8s9E9kuyCo+C7XZq/2fMu/KHc2FuO1d7Cs730ytV+FU0Zt4sUcWiivrulhWUSMm+M2UftDNHkdR3nb0yDqASp/rwSqbh0HtLkfXIQ9g6BsZGNk3Fb9YvBb5DT32Un4Ih79srjEMGoEnUoAChgU4mTYMynAUoIApgfMoV89QJ87C1n9eiTvm/ReyUu13plU7rdB14F3osfJR/GbDpzix7U/YeV23i8vb1aRRgLUFhz13GWsOhfNNu4GYuqw/crL/Fwc9z3uXo+jNXShPvQsDu1ZP+sOZj72tzZtQcEg9cxxNr6+xee07OFTPShyxHUfghV1F2JD1A3ye8QDu7DYA43I/C3z9xHdF52vVnXO+KECBaBbgZDqaR599p4CDBapK/gs/77cdt7/2B0wf9QP0ib8sYLaxXe/Er8YCK5c+jAcXnsHgvnG19drdgiE/S8DmcQ8iM7sQ5TUTqBPYk7+vEY951IZs/LuW6Jg6AY/0+Bgv/KgTYlok4YnKn6Jo1U//f3v3ExpHFccB/Jv10EtMQvXgkEiLlOYklOxSoYcyxHZFSmypNIixMUSkBxVqkIWoUPBPSlIsaC9p6ZY0BS+yEqFQ2brJglao7laksZuRKP5ZNwRKsc1SsLD5yXszs5kkG7q2tbPT/Z6SzGTm/d7nDcvL5M13sNm3T+AQmiI7sN/4DK8cOITTWXtJg+5bcRqT2UrLPJylDf8doIaOWI/IM1EYyXdxYPAMsnPuXWW1POhrZNVDrGpphxHG7v5hTJUKuHi0A+deP460s29ZZ57chLZG3wZxWSn8gQIU8E+AnwL+2bNlCtSpwE1ctgooFn/EF5N/Vr7jp5Iy8rO4jJu4tqDunN7C3A/fw7qljv0VM+kL+MWdGIcex46eLhjpT3F+i4lIk/djbT22dvfARBIjfU8566bV2umXkGresOIO9v81HH8jO3oGpefexkdTBYgUMDW8H2G9Fvh2bVZjdbtzrLG/qQPdA7uA9Aj6Iu666QY0dJ1Hc3tLhYOcCThqYWlDCI16bXoOF6bnsaiuj+xX+Ma6DswdxtPNLzgpH6obXsO/0Lh1DwZM1e1eRNx10w1t6EqtQ3sTcCN9dmniHHoErRseBlZNmu3149iyEY95L7cKatxEAQrUgUDdPGrJjlKAAjUg4KZKGDrdIp+LSxQqzQGCbaaYu+JiucEcpbykBqN6n9F7VJLWrKRiYYE5KAmdUOHpjk6U8CY7ePapJIvMuMRMw27H6JUjSctO+/AkUegaVDrDtaWEkfK2kidJQ9e7T44nPl6qHRAjlpQ/dJKH0x84ySMr23D7i6jEEjkndcRbr/v9cqtCFTUgGpec17RiXapWJ7mkVJDMWExMpybbuZxp4hbi+Wonk5TTWEREpV+Ux1Cdp+oaKnldkpxK5CgbqZSPn+xxL29zx9lJH1Hb9TUxL1b8RTFjJ2RCp5qoslca2l0pFS7KWMy+tqBTT74Ua0FdeCW5fiklE8mExPV+Q8zYuGR0ooiHQaeEbFtKhPHs4rcUoED9CfB14nXwBxO7SAEK+ClwAzOn3kSnSspYVcY+xK1x9LsPTK7aX3sbFn8+hWffAI6d6/dxmYq/LjTw15+tU6DWBPgPqlobEdZDAQo8WALFPK481IfsqtSMf5CfeB5PBOwBttDmvRjamcKHY/aLdR6swaqiN4u/Y2I4hZ1De+v2j4kqlPgrFKgrAU6m62q42VkKUOD+ClzF5Puv4tiV31CYdx92UxWotwZ+i0zbdmxftsb7/lZ3Z621IDwwgpdn38Nrzpsq7+w8ATyqOIPPBw8j0zOCgXCldeUB7BNLpgAF7lqAk+m7JuQJKEABCqwl8CjMg5/gYPs03io/7KZeiz6G79CB3folK2sdW8PbQ63oHDqJd1rOYrT8GvAarveelHYVk6MJLHQfwgedrZ7Xqd+Tk/MkFKBAgAW4ZjrAg8fSKUABClCAAhSgAAX8FeCdaX/92ToFKEABClCAAhSgQIAFOJkO8OCxdApQgAIUoAAFKEABfwU4mfbXn61TgAIUoAAFKEABCgRYgJPpAA8eS6cABShAAQpQgAIU8FeAk2l//dk6BShAAQpQgAIUoECABTiZDvDgsXQKUIACFKAABShAAX8FOJn215+tU4ACFKAABShAAQoEWOBfjnn2zjI1l3cAAAAASUVORK5CYII="></p>
</div>

<div class="specification">
<p>Only 10% of the employees spent more than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span> minutes traveling to work.</p>
</div>

<div class="specification">
<p>The results of the survey can also be displayed on the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of minutes spent traveling to work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of employees whose travelling time is within 15 minutes of the median.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k"> <mi>k</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Travelling times of less than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span> minutes are considered outliers.</p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>evidence of median position        <em><strong> (M1)</strong></em></p>
<p>80th employee</p>
<p>40 minutes       <em><strong>A1</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid attempt to find interval (25–55)      <em><strong>(M1)</strong></em></p>
<p>18 (employees), 142 (employees)      <em><strong>A1</strong></em></p>
<p>124      <em><strong>A1</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognising that there are 16 employees in the top 10%     <em><strong>(M1)</strong></em></p>
<p>144 employees travelled more than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k"> <mi>k</mi> </math></span> minutes       <em><strong>(A1)</strong></em></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k"> <mi>k</mi> </math></span> = 56      <em><strong>A1</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span> = 70      <em><strong>A1</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognizing <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span> is first quartile value      <em><strong>(M1)</strong></em></p>
<p>40 employees</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span> = 33      <em><strong>A1</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>47 − 33      <em><strong> (M1)</strong></em></p>
<p>IQR = 14      <em><strong>A1</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attempt to find 1.5 × <strong>their</strong> IQR      <em><strong>(M1)</strong></em></p>
<p>33 − 21</p>
<p>12       <em><strong>(A1)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>All the children in a summer camp play at least one sport, from a choice of football (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F">
  <mi>F</mi>
</math></span>) or basketball (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span>). 15 children play both sports.</p>
<p>The number of children who play only football is double the number of children who play only basketball.</p>
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> be the number of children who play only football.</p>
</div>

<div class="specification">
<p>There are 120 children in the summer camp.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span>, for the number of children who play only basketball.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the Venn diagram using the above information.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of children who play only football.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n(F)"> <mi>n</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2}x"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>x</mi> </math></span>     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">    <strong><em>(A1)(A1)</em>(ft)</strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Notes:</strong>     Award <strong><em>(A1) </em></strong>for 15 placed in the correct position, award <strong><em>(A1)</em>(ft) </strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span> and their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2}x"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>x</mi> </math></span> placed in the correct positions of diagram. Do not penalize the absence of 0 inside the rectangle and award at most <strong><em>(A1)(A0) </em></strong>if any value other than 0 is seen outside the circles. Award at most <strong><em>(A1)(A0) </em></strong>if 35 and 70 are seen instead of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span> and their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2}x"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>x</mi> </math></span>.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x + \frac{1}{2}x + 15 = 120"> <mi>x</mi> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>x</mi> <mo>+</mo> <mn>15</mn> <mo>=</mo> <mn>120</mn> </math></span> or equivalent     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for adding the values in their Venn and equating to 120 (or equivalent).</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(x = ){\text{ }}70"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>=</mo> <mo stretchy="false">)</mo> <mrow> <mtext> </mtext> </mrow> <mn>70</mn> </math></span>     <strong><em>(A1)</em>(ft)</strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Follow through from their Venn diagram, but only if the answer is a positive integer and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span> is seen in their Venn diagram.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>85     <strong><em>(A1)</em>(ft)</strong>     <strong><em>(C1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Follow through from their Venn diagram and their answer to part (c), but only if the answer is a positive integer and less than 120.</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Box 1 contains 5 red balls and 2 white balls.</p>
<p>Box 2 contains 4 red balls and 3 white balls.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A box is chosen at random and a ball is drawn. Find the probability that the ball is red.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> be the event that “box 1 is chosen” and let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> be the event that “a red ball is drawn”.</p>
<p>Determine whether events <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> are independent.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>valid approach to find <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">P</mi><mfenced><mi>R</mi></mfenced></math>                 <em><strong>(M1)</strong></em></p>
<p>tree diagram (must include probabilty of picking box) with correct required probabilities</p>
<p>OR   <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">P</mi><mfenced><mrow><mi>R</mi><mo>∩</mo><msub><mi>B</mi><mn>1</mn></msub></mrow></mfenced><mo>+</mo><mi mathvariant="normal">P</mi><mfenced><mrow><mi>R</mi><mo>∩</mo><msub><mi>B</mi><mn>2</mn></msub></mrow></mfenced></math>   OR   <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">P</mi><mfenced><mrow><mi>R</mi><mo> </mo><menclose notation="left"><mo> </mo><msub><mi>B</mi><mn>1</mn></msub></menclose></mrow></mfenced><mi mathvariant="normal">P</mi><mfenced><msub><mi>B</mi><mn>1</mn></msub></mfenced><mo>+</mo><mi mathvariant="normal">P</mi><mfenced><mrow><mi>R</mi><mo> </mo><menclose notation="left"><mo> </mo><msub><mi>B</mi><mn>2</mn></msub></menclose></mrow></mfenced><mi mathvariant="normal">P</mi><mfenced><msub><mi>B</mi><mn>2</mn></msub></mfenced></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>7</mn></mfrac><mo>·</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>+</mo><mfrac><mn>4</mn><mn>7</mn></mfrac><mo>·</mo><mfrac><mstyle displaystyle="true"><mn>1</mn></mstyle><mstyle displaystyle="true"><mn>2</mn></mstyle></mfrac></math>                 <em><strong>(A1)</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">P</mi><mfenced><mi>R</mi></mfenced><mo>=</mo><mfrac><mn>9</mn><mn>14</mn></mfrac></math>                <em><strong>A1</strong></em></p>
<p> </p>
<p><em><strong>[3</strong></em><em><strong> marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>events <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> are not independent, since <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>14</mn></mfrac><mo>·</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>≠</mo><mfrac><mn>5</mn><mn>14</mn></mfrac></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>7</mn></mfrac><mo>≠</mo><mfrac><mn>9</mn><mn>14</mn></mfrac></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>9</mn></mfrac><mo>≠</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></p>
<p>OR an explanation e.g. different number of red balls in each box                <em><strong>A2</strong></em></p>
<p> </p>
<p><strong>Note:</strong> Both conclusion and reasoning are required. Do not split the <em><strong>A2</strong></em>.</p>
<p> </p>
<p><em><strong>[2</strong></em><em><strong> marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a circular horizontal board divided into six equal sectors. The sectors are labelled white (W), yellow (Y) and blue (B).</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>A pointer is pinned to the centre of the board. The pointer is to be spun and when it stops the colour of the sector on which the pointer stops is recorded. The pointer is equally likely to stop on any of the six sectors.</p>
<p>Eva will spin the pointer twice. The following tree diagram shows all the possible outcomes.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both spins are yellow.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that at least one of the spins is yellow.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the second spin is yellow, given that the first spin is blue.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p style="text-align: left;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3} \times \frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
  <mo>×</mo>
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>  <strong>OR </strong> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {\frac{1}{3}} \right)^2}">
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mn>1</mn>
            <mn>3</mn>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>2</mn>
    </msup>
  </mrow>
</math></span>  <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying correct probabilities.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{9}">
  <mfrac>
    <mn>1</mn>
    <mn>9</mn>
  </mfrac>
</math></span> (0.111, 0.111111…, 11.1%)      <em><strong>(A1)   (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="text-align: left;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{1}{2} \times \frac{1}{3}} \right) + \left( {\frac{1}{6} \times \frac{1}{3}} \right) + \frac{1}{3}">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>2</mn>
      </mfrac>
      <mo>×</mo>
      <mfrac>
        <mn>1</mn>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>6</mn>
      </mfrac>
      <mo>×</mo>
      <mfrac>
        <mn>1</mn>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>       <em><strong>(M1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{1}{2} \times \frac{1}{3}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>2</mn>
      </mfrac>
      <mo>×</mo>
      <mfrac>
        <mn>1</mn>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{1}{6} \times \frac{1}{3}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mn>6</mn>
      </mfrac>
      <mo>×</mo>
      <mfrac>
        <mn>1</mn>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> or equivalent, and <em><strong>(M1)</strong></em> for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span> <strong>and </strong>adding only the three correct probabilities.</p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - {\left( {\frac{2}{3}} \right)^2}">
  <mn>1</mn>
  <mo>−</mo>
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mn>2</mn>
            <mn>3</mn>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>2</mn>
    </msup>
  </mrow>
</math></span>       <em><strong>(M1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\frac{2}{3}}">
  <mrow>
    <mfrac>
      <mn>2</mn>
      <mn>3</mn>
    </mfrac>
  </mrow>
</math></span> seen and <em><strong>(M1)</strong></em> for subtracting <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {\frac{2}{3}} \right)^2}">
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mn>2</mn>
            <mn>3</mn>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>2</mn>
    </msup>
  </mrow>
</math></span> from 1. This may be shown in a tree diagram with “yellow” and “not yellow” branches.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{9}">
  <mfrac>
    <mn>5</mn>
    <mn>9</mn>
  </mfrac>
</math></span> (0.556, 0.555555…, 55.6%)      <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>   (C3)</strong></em></p>
<p><strong>Note: </strong>Follow through marks may be awarded if their answer to part (a) is used in a correct calculation.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="text-align: left;"> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>  (0.333, 0.333333…, 33.3%)      <em><strong>(A1)</strong></em><em><strong>   (C1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Sara regularly flies from Geneva to London. She takes either a direct flight or a non-directflight that goes via Amsterdam.</p>
<p>If she takes a direct flight, the probability that her baggage does not arrive in London is 0.01.<br>If she takes a non-direct flight the probability that her baggage arrives in London is 0.95.</p>
<p>The probability that she takes a non-direct flight is 0.2.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.08.43.png" alt="M17/5/MATSD/SP1/ENG/TZ1/07"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Sara’s baggage arrives in London.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img src="images/Schermafbeelding_2017-08-15_om_14.22.22.png" alt="M17/5/MATSD/SP1/ENG/TZ1/07.a/M">     <strong><em>(A1)(A1)(A1)     (C3)</em></strong></p>
<p> </p>
<p> </p>
<p>Note:     Award <strong><em>(A1) </em></strong>for each correct pair of probabilities.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.8 \times 0.99 + 0.2 \times 0.95">
  <mn>0.8</mn>
  <mo>×</mo>
  <mn>0.99</mn>
  <mo>+</mo>
  <mn>0.2</mn>
  <mo>×</mo>
  <mn>0.95</mn>
</math></span>     <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(A1)</em>(ft) </strong>for two correct products of probabilities taken from their diagram, <strong><em>(M1) </em></strong>for the addition of their products.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 0.982{\text{ }}\left( {98.2\% ,{\text{ }}\frac{{491}}{{500}}} \right)">
  <mo>=</mo>
  <mn>0.982</mn>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>98.2</mn>
      <mi mathvariant="normal">%</mi>
      <mo>,</mo>
      <mrow>
        <mtext> </mtext>
      </mrow>
      <mfrac>
        <mrow>
          <mn>491</mn>
        </mrow>
        <mrow>
          <mn>500</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>     <strong><em>(A1)</em>(ft)</strong><em>     </em><strong><em>(C3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Follow through from part (a).</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A florist sells bouquets of roses. The florist recorded, in<strong> Table 1</strong>, the number of roses in each bouquet sold to customers.</p>
<p style="text-align: center;"><strong>Table 1</strong></p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The roses can be arranged into bouquets of size small, medium or large. The data from <strong>Table 1</strong> has been organized into a cumulative frequency table,<strong> Table 2</strong>.</p>
<p style="text-align: center;"><strong>Table 2</strong></p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the cumulative frequency table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that a bouquet of roses sold is <strong>not</strong> small.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A customer buys a large bouquet.</p>
<p>Find the probability that there are 12 roses in this bouquet.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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">      <strong><em>(A1)(A1)</em>(ft) <em>(C2)</em></strong></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em></strong> for 10; <strong><em>(A1)</em>(ft)</strong> for the last column all correct. Follow through from <em>their</em> 10 for <em>their</em> 50 in the last column.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{35}}{{50}}\,\,\left( {0.7{\text{,}}\,\,\frac{7}{{10}}{\text{,}}\,\,70\,{\text{% }}} \right)">
  <mfrac>
    <mrow>
      <mn>35</mn>
    </mrow>
    <mrow>
      <mn>50</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>0.7</mn>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mfrac>
        <mn>7</mn>
        <mrow>
          <mn>10</mn>
        </mrow>
      </mfrac>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>70</mn>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>    <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft) <em>(C2)</em></strong></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for their numerator being 25 + <em>their</em> 10, and <em><strong>(A1)</strong></em><strong>(ft)</strong> for their denominator being <em>their</em> 50. Follow through from part (a).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{{10}}\,\,\left( {0.4{\text{,}}\,\,\frac{2}{5}{\text{,}}\,\,40\,{\text{% }}} \right)">
  <mfrac>
    <mn>4</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>0.4</mn>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mfrac>
        <mn>2</mn>
        <mn>5</mn>
      </mfrac>
      <mrow>
        <mtext>,</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mspace width="thinmathspace"></mspace>
      <mn>40</mn>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>% </mtext>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>   <strong><em>(A1)(A1)</em>(ft) <em>(C2)</em></strong></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em></strong> for a numerator of 4 and <strong><em>(A1)</em>(ft)</strong> for <em>their</em> 10 as denominator. Follow through from part (a).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A sample of 120 oranges was tested for Vitamin C content. The cumulative frequency curve below represents the Vitamin C content, in milligrams, of these oranges.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_09.11.24.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02"></p>
</div>

<div class="specification">
<p>The minimum level of Vitamin C content of an orange in the sample was 30.1 milligrams. The maximum level of Vitamin C content of an orange in the sample was 35.0 milligrams.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Giving your answer to one decimal place, write down the value of</p>
<p>(i)     the median level of Vitamin C content of the oranges in the sample;</p>
<p>(ii)     the lower quartile;</p>
<p>(iii)     the upper quartile.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a box-and-whisker diagram on the grid below to represent the Vitamin C content, in milligrams, for this sample.</p>
<p><img src="images/Schermafbeelding_2017-03-06_om_12.47.06.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02.b"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>(i)     32.5     <strong><em>(A1)</em></strong></p>
<p>(ii)     31.9     <strong><em>(A1)</em></strong></p>
<p>(iii)     33.1     <strong><em>(A1)     (C3)</em></strong></p>
<p> </p>
<p><strong>Note:     </strong>Answers must be given correct to 1 decimal place.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2017-03-06_om_12.50.10.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02.b/M"></p>
<p><strong>Note:     </strong>Award <strong><em>(A1)</em>(ft) </strong>for correct median, <strong><em>(A1)</em>(ft) </strong>for correct quartiles and box, <strong><em>(A1) </em></strong>for correct end points of whiskers and straight whiskers.</p>
<p>Award at most <strong><em>(A1)(A1)(A0) </em></strong>if a horizontal line goes right through the box or if the whiskers are not well aligned with the midpoint of the box.</p>
<p>Follow through from part (a).</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The following Venn diagram shows the sets <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
  <mi>A</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="C">
  <mi>C</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
  <mi>U</mi>
</math></span>.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> is an element of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
  <mi>U</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_09.16.47.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the table indicate whether the given statements are True or False.</p>
<p><img src="images/Schermafbeelding_2017-03-06_om_12.54.23.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03.a"></p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the Venn diagram, shade the region <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap (B \cup C)'"> <mi>A</mi> <mo>∩</mo> <mo stretchy="false">(</mo> <mi>B</mi> <mo>∪</mo> <mi>C</mi> <msup> <mo stretchy="false">)</mo> <mo>′</mo> </msup> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p><img src="images/Schermafbeelding_2017-03-06_om_12.57.08.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03.a/M">&nbsp; &nbsp; &nbsp;<strong><em>(A1)(A1)(A1)(A1)(A1)&nbsp; &nbsp; &nbsp;(C5)</em></strong></p>
<p><em><strong>[5 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2017-03-06_om_13.00.17.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03.b/M">&nbsp; &nbsp; &nbsp;<strong><em>(A1) &nbsp; &nbsp; (C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A tetrahedral (four-sided) die has written on it the numbers 1, 2, 3 and 4. The die is rolled many times and the scores are noted. The table below shows the resulting frequency distribution.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_05.55.47.png" alt="M17/5/MATSD/SP1/ENG/TZ2/07"></p>
<p>The die was rolled a total of 100 times.</p>
</div>

<div class="specification">
<p>The mean score is 2.71.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an equation, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>, for the total number of times the die was rolled.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the mean score, write down a second equation in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="18 + x + y + 22 = 100">
  <mn>18</mn>
  <mo>+</mo>
  <mi>x</mi>
  <mo>+</mo>
  <mi>y</mi>
  <mo>+</mo>
  <mn>22</mn>
  <mo>=</mo>
  <mn>100</mn>
</math></span> or equivalent     <strong><em>(A1)</em></strong>     <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{18 + 2x + 3y + 88}}{{100}} = 2.71">
  <mfrac>
    <mrow>
      <mn>18</mn>
      <mo>+</mo>
      <mn>2</mn>
      <mi>x</mi>
      <mo>+</mo>
      <mn>3</mn>
      <mi>y</mi>
      <mo>+</mo>
      <mn>88</mn>
    </mrow>
    <mrow>
      <mn>100</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>2.71</mn>
</math></span> or equivalent     <strong><em>(M1)(A1)</em></strong>     <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for a sum including <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
  <mi>y</mi>
</math></span>, divided by 100 and equated to 2.71, <strong><em>(A1) </em></strong>for a correct equation.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x + y = 60">
  <mi>x</mi>
  <mo>+</mo>
  <mi>y</mi>
  <mo>=</mo>
  <mn>60</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2x + 3y = 165">
  <mn>2</mn>
  <mi>x</mi>
  <mo>+</mo>
  <mn>3</mn>
  <mi>y</mi>
  <mo>=</mo>
  <mn>165</mn>
</math></span>     <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>(M1) </em></strong>for obtaining a correct linear equation in one variable from their (a) and their (b).</p>
<p>This may be implied if seen in part (a) or part (b).</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = 15;{\text{ }}y = 45">
  <mi>x</mi>
  <mo>=</mo>
  <mn>15</mn>
  <mo>;</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mi>y</mi>
  <mo>=</mo>
  <mn>45</mn>
</math></span>     <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong>     <strong><em>(C3)</em></strong></p>
<p> </p>
<p><strong>Notes:</strong>     Follow through from parts (a) and (b), irrespective of working seen provided the answers are positive integers.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Each month the number of days of rain in Cardiff is recorded.<br>The following data was collected over a period of 10 months.</p>
<p style="text-align: center;">11&nbsp; &nbsp; 13&nbsp; &nbsp; 8&nbsp; &nbsp; 11&nbsp; &nbsp; 8&nbsp; &nbsp; 7&nbsp; &nbsp; 8&nbsp; &nbsp; 14&nbsp; &nbsp;&nbsp;<em>x&nbsp;&nbsp;</em>&nbsp; 15</p>
<p style="text-align: left;">For these data the <strong>median</strong> number of days of rain per month is 10.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the standard deviation</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{x + 11}}{2} = 10">
  <mfrac>
    <mrow>
      <mi>x</mi>
      <mo>+</mo>
      <mn>11</mn>
    </mrow>
    <mn>2</mn>
  </mfrac>
  <mo>=</mo>
  <mn>10</mn>
</math></span>    <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into median formula or for arranging all 9 values into ascending/descending order.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {x = } \right)\,\,9">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>x</mi>
      <mo>=</mo>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mn>9</mn>
</math></span>    <em><strong>(A1) (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2.69 (2.69072…)    <strong><em>(A2)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (a).</p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>13 − 8    <em><strong>(M1)</strong></em><br><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for 13 and 8 seen.</p>
<p>= 5    <strong><em>(A1)</em>(ft) <em>(C4)</em></strong><br><strong>Note:</strong> Follow through from part (a).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A city hired 160 employees to work at a festival. The following cumulative frequency curve shows the number of hours employees worked during the festival.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-14_om_07.01.49.png" alt="M17/5/MATME/SP1/ENG/TZ2/08.a.ii"></p>
</div>

<div class="specification">
<p>The city paid each of the employees £8 per hour for the first 40 hours worked, and £10 per hour for each hour they worked after the first 40 hours.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of hours worked by the employees.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of employees who worked 50 hours or less.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of money an employee earned for working 40 hours;</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of money an employee earned for working 43 hours.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of employees who earned £200 or less.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Only 10 employees earned more than £<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>. Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
  <mi>k</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>evidence of median position     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span>80th employee</p>
<p>40 hours     <strong><em>A1</em></strong>     <strong><em>N2</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>130 employees     <strong><em>A1</em></strong>     <strong><em>N1</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>£320     <strong><em>A1</em></strong>     <strong><em>N1</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>splitting into 40 and 3     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span>3 hours more, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3 \times 10">
  <mn>3</mn>
  <mo>×</mo>
  <mn>10</mn>
</math></span></p>
<p>correct working     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="320 + 3 \times 10">
  <mn>320</mn>
  <mo>+</mo>
  <mn>3</mn>
  <mo>×</mo>
  <mn>10</mn>
</math></span></p>
<p>£350     <strong><em>A1</em></strong>     <strong><em>N3</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span>200 is less than 320 so 8 pounds/hour, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="200 \div 8,{\text{ }}25,{\text{ }}\frac{{200}}{{320}} = \frac{x}{{40}}">
  <mn>200</mn>
  <mo>÷</mo>
  <mn>8</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>25</mn>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mfrac>
    <mrow>
      <mn>200</mn>
    </mrow>
    <mrow>
      <mn>320</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mi>x</mi>
    <mrow>
      <mn>40</mn>
    </mrow>
  </mfrac>
</math></span>,</p>
<p>18 employees     <strong><em>A2</em></strong>     <strong><em>N3</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid approach     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="160 - 10">
  <mn>160</mn>
  <mo>−</mo>
  <mn>10</mn>
</math></span></p>
<p>60 hours worked     <strong><em>(A1)</em></strong></p>
<p>correct working     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,">
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
  <mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="40(8) + 20(10),{\text{ }}320 + 200">
  <mn>40</mn>
  <mo stretchy="false">(</mo>
  <mn>8</mn>
  <mo stretchy="false">)</mo>
  <mo>+</mo>
  <mn>20</mn>
  <mo stretchy="false">(</mo>
  <mn>10</mn>
  <mo stretchy="false">)</mo>
  <mo>,</mo>
  <mrow>
    <mtext> </mtext>
  </mrow>
  <mn>320</mn>
  <mo>+</mo>
  <mn>200</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k = 520">
  <mi>k</mi>
  <mo>=</mo>
  <mn>520</mn>
</math></span>     <strong><em>A1</em></strong>     <strong><em>N3</em></strong></p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Andre will play in the semi-final of a tennis tournament.</p>
<p>If Andre wins the semi-final he will progress to the final. If Andre loses the semi-final,&nbsp;he will <strong>not</strong> progress to the final.</p>
<p>If Andre wins the final, he will be the champion.</p>
<p>The probability that Andre will win the semi-final is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>. If Andre wins the semi-final, then the probability he will be the champion is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>6</mn></math>.</p>
</div>

<div class="specification">
<p>The probability that Andre will not be the champion is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>58</mn></math>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the values in the tree diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAADpCAYAAABFuGKhAAAgAElEQVR4Ae2dwWsjR9r/3//EBp9kEGTYi08TFvbg9UEMw48wMJcsHsPMwkJuL0TGueTwJgGZNeEdeNmJTLxz2ZBtsbCXxKEZCMOLB/HbQ1iE4D2EiRHLsMxrxGwwg/i+PN31dFeXWnJLarVa0lcwdFvdVfXUp3r6q6p6qp5/Az8kQAIkQAIksIQE/m0JbabJJEACJEACJAAKGB8CEiABEiCBpSRAAVvKZqPRJEACJEACFDA+AyRAAiRAAktJgAK2lM1Go0mABEiABChgfAZIgARIgASWkgAFbCmbjUaTAAmQAAlQwPgMkAAJkAAJLCUBCthSNhuNJgESIAESoIDxGSABEiABElhKAhSwpWw2Gk0CJDBvAoNuE3c2NrFVOYJ/NcixuFfw67exVWuim2e201o46OC0to1q3cfVtHksKB0FbEHgWSwJkECZCfyMbvM+qv/+GT6r/QqH/qscjS2ZgOVYs6KzooAVTZzlkQAJlJ/AlY/Dym0c+i8DIcu3t0QBy+sBoIDlRZL5kAAJrAiBAa78I1TN0GE4lHgfp92frfqpCD2Gf/EUh7vb2AqGGx/g+LyLvnXnoNdGq/EAVbm+sYODRhPH+zvxEGIgltvYq38efr+xGQ/nDXpof1nHXpB2E1u7dZz6yfytohDaKsJr9RiD/K08gwSh/cGwYWII0dR94z6+8J/hrF4L6xXY/Q26fR3zHKDf9XEaXb/ZNtvOvM4pYHmRZD4kQAIrQsB6uUuNghf8LdxpdqCvb8AI2IYIj2de7Nfo+R9jb+MujtuvQxb9Cxzv3rLuuULXOwoFSefAjMBsVR7itHMFDP6B7v/I8Ue0Hu6guv8YL3rXYgj6nTMcVHbwyPvRssXCnhCjwPhQjEUAtTz5OuphvjL10zkwFTARpCO0uuGs2KB3jo+kHo2LUJyDet3GQfMHI9Zad1foLdvmcEoBmwNUZkkCJLC8BIZ7MeF8WNKZwwiY6+BhelOh2CV7cjERk1YFJbWHpELiCsKoPDV3Y6vmDTOX9/4D/KaieTl5JERPy3V6cSrYJt/0XqnaUNyRAlYca5ZEAiRQegJpYoWUobkRApYQA0eooro7IpMqYCPyl35Y4B3pCkyUubluxCqw51c4PH+G08gZJcw78jpM2DxKwBwuQQ9Mem1f44X/V/impxZbUcwZBawYziyFBEhgGQiYl3kwn6XzTtYxeulrj8TtgdlioHlFvSEFMIGAWWUnbRotYIkhTxHHd2QZwJvQq1Jc5QO7LM9K22ZkFDCpSr8L33sSz/9t1HDY9K15Mq3v/I4UsPmxZc4kQAJLRUBf3jrUZhvvXhvRQ0qIQQ49sCHxs20adR4KZLV+jpfijBLkYeyvNdHpNHHHFt6EzVpPVyCdHphbtDibeA0cVFxnEffGfP+mgOXLk7mRAAksLQEztPbQw2XsrRHXJjG/lUXAjBjYYhHk5ghb6hCipv0ArUtx4NDPAP32CfY20kQ2vif0oryHg/dvx84nQTm/xsH+r2MvR0mSh4AFRTv1UnPmeKSAzREusyYBElgiAsEL3u152Pa/Rrtx13jzZREwEQf1JDxDJ3BBH+2FGA9PmjKjtJYXYtfDoe0NaJtnnxtR3Nqw6mOEKvGdpJlCwMJ5uBoOvY7xQhS3erHt9mgPSdu+nM4pYDmBZDYkQALLTMAMke2eoB2tdRquT+xA8fdwOyi3d5UQA5O+38V30Towcbt/ilbjXuzWntoDi9P6TWsdWOUBjr02emk9xIS5aQJr6uj23hI2Zx1CvEav7UXr1qI1cJlsSxg60x8UsJnwMTEJkAAJkMCiCFDAFkWe5ZIACZAACcxEgAI2Ez4mJgESIAESWBQBCtiiyLNcEiABEiCBmQhQwGbCx8QkQAIkQAKLIkABWxR5lksCJEACJDATAQrYTPiYmARIYBkJ/Otf/8Lf/va3ZTSdNlsEKGAWDJ6SAAmsPoHnz5/j3nvvof7hh6tf2RWvIQVsxRuY1SMBEggJ/PTTT4FoiXiN7H0Fi47/A2cavDKxyHceJK2dOTa2cecPX+FJTWNz5VmeWcQ81d6KedqRb14UsHx5MjcSIIGSEZDhwsf/+Ri/fPddtDwP8nf6R3ehsPYZnLOAhTt7jAlQmW7oFN9SwKaAxiQkQAIksDgCIlgiXCJg//znP28wZFECZu1XeIOF01+mgE3PjilJgARIoEAC3W43mOf67aNHkPObPypem9C4W8HmutoD22/gq2g/w01U90/wnRPEcdC7wFm9ZtLLnofNMYEedV/CuLwg4vPrv+M0GkJUm+7jC/+ZlfcODhrfJONuWeFMQvvd8ilgNz8DvIMESIAEFkhAelninCG9LnHWmOwTC8apMwe2JcEadef1wSX8oxq2rI1/B5ceHlV2cPD752aj3St0mg9RrbjhUJIWxZsDvwovqGBK4MkouOQmtnaP0DKCOeid46PEjvThLvnVfd21XnaYd22kgCXJ8y8SIAESKAkBmdeS4ULpffzx7GzMPNc4g0cLmBvqJBQenSsbFQcr/N5Na1uQTcDcIUanvBFhYJI2UsBs7jwnARIggVIQkJ6W9Lik53XzPNc4kycVMCMsI8OhGNFwQ65YJkwnYCPy7Xfhe14g5K0oBIuKLAXMws5TEiABElgsAZnbkjkucYvPNs91k72zCZjOnQ0d5y5gZrhyQ4Ya6zgNROwZOu0nuBMFtKSA3dT6vE4CJEACcycgvSzbLT6/AmcRsG3caXZwY5xJx9g8emBhHq4rvtZFhx8pYA56/kkCJEACxRKw3eJHr+ea1iZ96euwmzhDdCyvwDjfpPCYua6HHi4TChY6V2yNWTyczMctT+1REdLy7SHEt7jyj1B1oyzjGpfeB6iyB6bQeCQBEiCBxRCQnTN0+6d8hgvT6xEKigjYG7zpv8Egk4CJ09+wF2LXO8Lexl0ct1+nFyZ61W1aw3zTCNgACObgtrF3dG48IK/Ru3iMg4q46Kv4sQc2shF4gQRIgATmQcDe/mlyt/gpLFL3c5lPkp7T2yw9MClngH7Xx2m0DkzWijXQavfGDivmImC4Rq/9FIe722YNmqwT+xP8i69xWKGATfEUMAkJkAAJTE9AhgfFHV4cIsZv/zR9GUy5/AS4F+LytyFrQAIrReDbb78N3OI//eSTGd3iVwoLK5NCgAKWAoVfkQAJFE8gf7f44uvAEoslQAErljdLIwEScAiIW7z0tmQxsvS++CGBrAQoYFlJ8T4SIIFcCej2TyJc02//lKtJzGzJCFDAlqzBaC4JrAIBOyqyeBryQwLTEKCATUONaUighASGtjASV/AC/2VBYrvFj4yKnCUj3kMCAChgfAxIgATmTkCGC+3tn/LfRWPuVWABJSRAAStho9AkElglAuoWny0q8irVnHWZNwEK2LwJM38SWFMC4hYv2z9lj4q8pqBY7akJUMCmRseEJEACaQRmi4qcliO/I4F0AhSwdC78lgRIYEIC6hYvjiN0i58QHm+figAFbCpsTEQCJGATyC8qsp0rz0lgPAEK2Hg+vEoCJDCGgMxz1T/8MMeoyGMK4yUScAhQwBwg/JMESOBmAvOLinxz2byDBJQABUxJ8EgCJJCJwHyjImcygTeRQECAAsYHgQRIIBOBoqIiZzKGN5EAd+LgM0ACJHATAXWLlzVdhURFvskgXicBQ4A9MD4KJEACqQTELZ5RkVPR8MuSEKCAlaQhaAYJlImAbv/EqMhlahXa4hKggLlE+DcJrDEBRkVe48ZfwqpTwJaw0WgyCeRNgFGR8ybK/IogQAErgjLLIIGSEtDtnyQqsuwWzzAnJW0ompVKgAKWioVfksDqE2BU5NVv41WvIQVs1VuY9SMBhwCjIjtA+OfSEqCALW3T0XASmIyADA8yKvJkzHh3uQlQwMrdPrSOBHIhQLf4XDAyk5IRoICVrEFoDgnkSYBRkfOkybzKRoACVrYWoT0kkAMB3f5JvAu5/VMOQJlFKQlQwErZLDSKBKYjoG7xjIo8HT+mWi4CFLDlai9aSwIjCTAq8kg0vLCiBChgK9qwGHRwWtvG1sZtHPqvcqzlAFf+Eaob93Ha/TnHfKfN6md0m/exVTmCfzWYNpOlTmdHRZaQJ/yQwLoQoICtaEsPuk3cqXyA40/voVr3cZVbPcsmYLlVbOkyYlTkpWsyGpwzAQpYzkDLkd0r+PXbgXD9rwhZrr0lClgZ2phRkcvQCrRh0QQoYItugXmUf+XjsGKGDoOhxFu40+wgHmCLRegL/xnO6jXIpP/Wxg4OGt+g24/vxKCHttfAQUWub6K638BXjQfWEGIollu7dXwRfL9pDeddo9d+isNdGcqU9DUcNv1k/nb9zbBnssdo8k8MERr7g+/eJIcQg7pv486Tc7z4so69oFyx+wTfda1+aL8Lvxlfv9E2284FnjMq8gLhs+jSEaCAla5JZjXIfrmLEJk5oloT3UiXVMA2sbV7hJZ5sQ965/ho9xb2GhfoB2a8Rrtx17pngH7XM4Kkc2BGYET8mj+gj2v0uj8Gx0vvA1QrD3By0QvFs/8DTvd3UH3o4TKyxa5vynxWIEgiflqe3B/3MK+0fipw0f01HHqdsB6DS/hHNWztnqAdiHNYr+r+GTpGrLXuSaG3bVvsOd3iF8ufpZeTAAWsnO0yvVUpvZhgPizhzKEC5jp4GDFSsbN7cpFFmlYFJa2HBEB7Qomen37vlhtljtBWzRvh35V7OHj/dtyLTNjliJ4RsGQvzrE5tVca21CmM3GLZ1TkMrUIbSkTAQpYmVojB1uGxQpQj8T4pa4vdFdIbDF4O9LbMCkyaQI2Kv80W5xKJ8QltKda/yteNO8bZxSTt/a4RvTA4rqG+Se5mJ5lpY7WhY+W3zU9TseWBf/J7Z8W3AAsvvQEKGClb6JJDDQCZOZ9wnmncO4qOI9e+qMExhYwM7eUGLoLbckuYFbZjk2uwMS1NDYEvUARx7vBMoCgTGvOK05v2zwwPb/NIc/LpIBJaVfo+h5Oo/m/bezVm/DtebLYqIWcUcAWgp2FLhEBCtgSNdaNpo4atpOEiWtZBCyPHlg8FHij7dYNkVi9PMdhxeQR2H8fp53/j9Par6y1bdMKmFWgzNu1PRzv71gOKPb1xZ1zCHFx7Fly+QlQwMrfRhkt1KG1D9C6vE5JY89vZREw7c24w4yaVsUpbQhRBXMHj7wfLe9HAP0LHO+6XpGOuYFY7eA3+/dQ1fm4wHHjV9jbfx97UU9S0uUhYJKPWy/HpgX/SSeOBTcAiy8lAQpYKZtlGqNCIYmH1tw8Bui3T7AXDAm+MfNbrjg5YoBrhJ6ED3HaERf0MV6ICVGRsjWt7YXYQUuG7CJvQNdG/duIorjtR4uwjW2J7+R+x+ZA/Ox0YZ6JIUQzz7ZX92KX/n5o22gPSbVtsUfuLr9Y/iy9XAQoYOVqj6mtCV/Qd3Hcfj06j8hD8Rwvg+2gbhIwyeoK3fOTaB2YuN3/2fvMWhw9ogcWWCHzTE1rHZisM/PQ7qX1EG2ztTeUtC+s43bsjRgkmULARIp7bbR03VowP5fVNtvOxZ3bC5mld8YPCawjAQrYOrY667wSBBhheSWakZWYgQAFbAZ4TEoCZSDw008/of7hh7j33nuM/VWGBqENhRGggBWGmgWRwHwJcJup+fJl7uUjQAErX5vQIhKYiYA9PybDjPyQwKoSoICtasuyXmtNgKFW1rr516byFLAlampxoX78n4+XyGKaumgCDHa56BZg+fMkQAGbJ92c8pZf059+8gl++e67kO2F+CGBSQk8f/48cPIQZw9x+uCHBFaBAAWsxK0o8xcynyH7GMqO5JzPKHFjLYFpfJ6WoJFo4kQEKGAT4SruZv5iLo71upXEHv26tfjq1pcCVrK2tdf0iFv0ZB/ZNeNzfPSlRl92dqmYLLOS3521bvb2V5vYqn2O1h/uz2XT3nCnEN0jsuT4AMj82G8fPQqGFuWcHxJYNgIUsJK0mAzviIOGzHPJsOFUw4WJHeelYllf8iWBMA8zdPuskVGg8yt02QRMay69fXnuZH6M21IpFR6XgQAFrAStZK/bmekFQgEbbk0VsGhT4OFb8vpmWQVM6i8/mDTyM+db83oimM+8CVDA5k14TP4ybCPb/8gwzsxDOGYX9iiIpRX8cavyAMd/asQb8srf504U4kEP7S/r2NPAk7t1nN4YqdjdrDctKKTE2npqbehbw2HTj3eBD8Kk3MZW7TO0vrE3Da7jrH2Jq+43YZwusati7WyfoXcZCoodVFM2B36JbtMaQlTRf3KOF1b9q/sn+C4R3NKKGTaC0TILmD6m8gNKemLSI5OeGT8kUGYCFLAFtM7cXhL6Mm46c2AbIiwaOuQaPf9j7G1YO9cPfkTr4Q6q+4/xItgpfoB+5wwHlZR4XhEvE56loqFWZIv3S/hHNWxFMbzSQqr8gNP9HcRhSzR0imWj5iOhUyKbrtBpPkS1ovHOMg6PDvXAnHSR8Ndw6HXQl/pp+VHYF62rLaDDHFdBwLR5c/1xpZnySAI5E6CA5Qx0XHZzd2MeJWBurK7gpa5BJTV0iet8YL5300YVNEIQiVV0IT4ZssdcCr7XUClp4VjSbQoFQtM5QhSXmjzLKGBx3DFJ7pYf2pi8R27r4LSmHIFVEjCFKOsOpTcm6xBnGt7WDHkkgRwJUMByhDkuq0ImyocEY8RLPvFSTxOQsCZJwXBrpwEyb+PQ+x6+98waFpR7VQRUcKz0N5avaZOimrRnRN2sYoLTRFnyjZMuYHZDAMwoTxky/UvgZNPynphh0Tg+2SoKmFTdnh+b2sEoYsgTEsiPwGoI2Ns2jt8xcx3vNPDi5QXOJPLv0LxJfuCy5iRDMYW5Ks8iYDqvM3RMEaCo8uKi/gytZtrcmYqQPQeVPA97NEZAEz05TZtVwN6E81oJ203aXARMh1TFfpnD+xot7y/wO/+N09p2FDV6VQVMm9te4sH5MaXC4yIJrIaABQRforV/C1u77+NR/b/CuZz+BY53t605meJQy3CL7RZfSMmzCFhCQKazNo5yLKL3D1wFUZ+TIjSccx4CNhjOVr/JQ8A0D9cV3+m9rbqAKVKGbVESPC6awOoImHmZbEUT74LWvBzfaaD9tjjUtlv8VOu5pjV1KgEzvZ3IOUIL1yHCmwRI7zdH24bgPMURJPhhoXNHSyBgdp2s6g4uPTyqxMOP6yJgisB+zjk/plR4LJLAygjY23YDv9hwhrvML+fYK26+aBf+yzSorxGGN330B858j1ZfexS6NirNC7Hr4XD3FvYaF6FnnqaNjibv3SO0InfzK3S9I+xFYpjmhdhBS4Z3ox8aSyBg+kNo92P4gZcmMOg9x8n+TjBMrc4d6yZg8ijID7TCRxqiZ5An605gRQQs7UWtPYiUHkDOra5u8YsP6a6u3TJXIz2n18k1T1pvV8Dk+34Xvj2XJWvFvDZ6Y0bnIGvHPGt9WeD23kCr3UOczF0rtoODhoe2EYKol5wYwpx0DiwuTasYHYfq6jwrQe8q7kVpulCM4h9Eg541r2rq+Wf/e7Tqt9dmDkzZpB1lrlfWj8n/gcm3QEvLkd+RwM0EVkTAwvkv/SUcVLvvrje6Gcakd9A7a1JivH/VCYhzh4gYw7asekuXo36rIWD6K9pMskfDO9aQT964uT4mb6LMb1UIyA87e36s0HngVYHIemQisBICFs5/2S7a7nZFmVhkuqlQt/hMFvEmEigngYV44pYTBa2aE4EVEDBnTmNOoOQ/I6Mizwkus11pAvzRt9LNu9DKrYCAhV5sifmvHJHawyHcpTtHsMxq7QgUshvN2lFd7wovvYCFa3Fu4cB7mXtLckI6d6TMcM0J6A9C2SWHPwjX/GHIofpLLGB9tBu/DreLMlsI5dULs7fMoUtwDk8ZsyABhwCH5B0g/HMqAkssYFPVd2wi+XVoL8qk99RYXLxIAjMTkPmx3GLizWwNM1g2AhQw02LqFi8CJr8O+SEBEiiOgP7/K1PYlnAxuwRSPYJ/NWax/MSY0nafmTiTkQnWaUeYtRcw/gIc+f+AF0igUAIy4iHzYjI/tviwLaF3c/XfP8NntV/h0H+VIwsKWF4w11bApJfF0Ol5PUbMhwTyI1CK/5vB5giyldjLcDu2xFZns9aVAjYrQU2/dgJGLyhteh5JoNwEFrc5tkZoCIcO04fkVIQew794aoKbynDjAxyfdxMbYMdhhmSzBdkLtIlj2QhaRdFEO9irfx5+L3ttRhtt99D+Mi3e3ui2G7ZX4vb5ONUYiRvb2Ks34UebcEte7p6laffIJtb2nqBp92TLZ7T1k11ZKwHjOpTJHg7eTQJlIGBvS1XM/HQoTrGIdHBa0/A/SsQIWCAGnolGrptp38Vx+3V4owkdtFfXe0zEBvGcTgiYiN9DnHaugME/0P0fOf6I1sMdVPcfh/ENoYFVx29QnhSwOM3B75+Hm3MPenjx+weobqidZuNzLV8sH1zCP6rFNgZfSfigHUT54Aqd5kNUo+gT2fJRgnkc10LAZJ5Ld8qWc35IgASWi0CRHsKhAMSRCIC03X6MgLkOHqY3dafZwQDJnlxMXHtvTXTFN0T3ctVeV3BjekQGjMwzzj0pYEaM3WCsGiIoEFFTPxXUOCvrzLE5umLyD2zPkk+UMJeTlRYw+bVmu8XnQoyZkAAJLIyAvUZTRlTy/6SJFTAsauaF7gpYInzPqJe+86JPFbAR+UtPqNvEHTf2oQUiIWAJQbVuSojyW/TbJ9iTPL3v4XvPTI/Suj/VRrlu88qQj5VlHqcrK2D2sAPXc+XxqDAPEigPAXt+TEQtt48RIPGETPsXDStqD2acgGleQz2bCQRshB1bGQUsFLNthD1Cm5KxIYgb+LPIIvrdZ2jZMQF36zj1zXyeEbA0JsF3EYcb8rFNyOF85QTMfrA5XJjDE8IsSKCkBNQh65fvvhuMtMz+Q3XUsJ0AcK+N6CHl3QMbEr+bG2PyHtjwGrfY8cQMpY7syY23Zyif8bdPfHVlBKwUrrcT42cCEiCBWQnkN1UQilJ1aL7IWJh4iWcRsBzmwCIHCaWkkeYl4rr0nIY/CQEzPcXhOhn7xwlkSn2H83mNduNuwtljyKJEPkNXZ/pi6QVMfnWVZ/HjTG3BxCQwE4GRwzsjh6HSh8mmzWcm43NIbDtrTbWHafCitZ03XKPsl3UWAZOOm3oSnqHTDzw20PWOsJfihRgPT5pyo7SWF2LXw+HuLew1LhKu+ralSQFL8UJU78HIC9EMJ+4eoRW51htvSUtAw43Tk16IYV3UmzFbPrats54vtYCVcfuZWRuE6UmABGYjMN1yGX35nqAdCE26DaE4iMj9HX799vA2U4khRJNHv4vvGuK2Lj8YZO3UU7Qa9+JeSyCc1tovu+h+F749LyXrzLx26A5v32edJwVMLmRYBzbooe01cFCJf9RU9xtotXuIBxjdfDYxdE+mfCxjZzxdSgGTX1q/ffQo2ASU81wzPgFMTgIrSEDnx6Q3ybAtK9jApkpLJWAy1s2oyKv7MLJmJJA3Ab4z8iZarvyWQsD011R+3kblagRaQwIkMF8CHLWZL99F5V56AWNU5EU9GiyXBFaPgM6by8480jvjZ7kJlFbA7BX3U3kULXe70HoSIIE5EVDPZQmkyc9yEyidgMnDZW//JH/zQwIkQAIkQAIugVIJmHbvyxSV1QXGv0mABEiABMpBoBQCJhOs0p0X13i6xZfjwaAVJEACJFB2AgsVMJlEZVTksj8itI8E1ohAsOj4P3Cm2zSlLUzOFYcVH2xjG3f+8BWe1LbjgJa5lWUWao/bOiq3sorLaCECpm7xXGRYXEOzJBIggZsIuBv2yiYWEsxyHoIS2hLumjE+QOVNVme7TgHLxumGu6bb5uWGTHmZBEiABGYmsCgBG7f/4syVMhlQwGYiKXNbGhWZbvEzoWRiEiCB3AmoeFl7AUqUYe2B7TfwVbSfoewBeILvoo1vQ2MGvQuc1WsmjpjsediE79wTm20Exd5oWWJqvf671eNTm+7jC/+ZlfcODhrfJINODu1B6JZPAYvZT3Am81y2W/wESXkrCZAACRRIIBaMKFSJEbCtjRoOvU64A/zgEv5RDVu78ca/aTu1d5oPUbV2c0+rSLw58KvwsgqmiGcUg2wTW9ZO8YPeOT5K7Egf7pJf3ddd62Xo07WRApbGf+x3jIo8Fg8vkgAJlIrAaAFzQ50kd3wfFVsr/N5Na1c5m4C5Q4xOeSPCwCRtpIDZ3MeeMyryWDy8SAIkUEoCkwqYEZaR4VCMaMjQ4FUclMSu+nQCNiJfCb3ieZCOQysKwaKBLylgNveR57IIWbwLBSI/JEACJLA8BGYTsJGBQOcuYFcIhitlPm23jtNAxJ6h036COxvae6OAZXoOdZ8xFTFuBZUJG28iARJYOIFZBGwbd5odK/hjtsrk0QML83Bd8bUuFLBsLeHcxUXKDhD+SQIkUHIC+tLXYbfR68CSwmPmuh56uEyMFIbOFVtjFg8n83HLU3tUhBSfPYT4Flf+Eaobls3Bbde49D5AlT0whTbdkdtETceNqUiABIonEAqKiMEbvOm/wSDhFRjb4wpPmhdi1zvC3sZdHLdfxwmdMzef5MLpLAI2AII5uG3sHZ2jFwjoNXoXj3FQkSUBKn4cQnTQT/an7ZHIODyTsePdJEACBRFQ93OZT5Ke09v0nTiGhAcD9Ls+TqN1YLJWrIFWuzd2WHEon4RgZhQwXKPXforD3W2zBk3Wif0J/sXXOKxQwHJ7cmQ+zF4Txvmx3NAyIxIgARJYOwIL2QvRDlYpW0vxQwIkQAIkQAKTEliIgKmR9noxETV+SIAESIAESCArgYUKmBgpw4j2/BiHFbM2He8jARIggfUmsHABU/zcM1FJ8EgCJEACJJCFQGkETI3lrvVKgkcSIAESIIFxBEonYGos44YpCR5JgARIgATSCJRWwLlaAekAAA0VSURBVMRYnR9j5Oa0puN3JEACJLDeBEotYNo0Mj8mmwT/8t138e233+rXPJIACZAACawxgaUQMG0fmR/77aNHuPfee5BzfkiABEiABNaXwFIJmDYT58eUBI8kQAIksL4EllLApLlkfuyPZ2dR7DGuH1vfh5g1JwESWE8CSytg2lwM26IkeCQBEiCB9SKw9AKmzcWwLUqCRxIgARJYDwIrI2DaXOKlKN6K4rXIsC1KhUcSIAESWD0CKydg0kQyH8awLav3sLJGJEACJGATWEkB0woybIuS4JEESIAEVo/ASguYNpcdtoXrx5QKjyRAAiSw3ATWQsC0ieywLZwfUyo8kgAJkMByElgrAZMmEuGy58eWs9loNQmQAAmQwNoJmDa5DCXWP/ww2JZKhhj5IQESIAESWC4Caytg2kyyLZXsrShiJk4f/JAACZAACSwHgbUXMGkmDdsi68dkeJHbUi3Hw0srSYAE1psABcxqf5kfY9gWCwhPSYAESKDEBChgKY0j82MM25IChl+RAAmQQIkIUMDGNAbDtoyBw0skQAIksGACFLAbGkDnx7Y2NoPwLZwfuwEYL5MACZBAQQQoYBlBy/yYeCqKo4f0zPghARIgARJYLAEK2IT8GbZlQmC8nQRIgATmRIACNiVYhm2ZEhyTkQAJkEBOBChgM4CU+bA/np1B5sdkn0XOj80Ak0lJgARIYEICFLAJgaXdrmFbOD+WRoffkQAJkMB8CFDAcuTKsC05wmRWJEACJHADAQrYDYCmucywLdNQYxoSIAESmIwABWwyXpnvlvkwO2wL58cyo+ONJEACJJCJAAUsE6bpb9L5MdnxnmFbpufIlCRAAiTgEqCAuUTm9HfhYVsGHZzWtrG1cRuH/qscazXAlX+E6sZ9nHZ/zjFfk1Vg9y3caXYwyD935kgCJLBCBChgBTamDCPa82PzHFYcdJu4U/kAx5/eQ7Xu4yq3elLAckPJjEiABGYiQAGbCd90iWVbKnt+bLpcxqV6Bb9+OxCu/xUhy7W3RAEbR57XSIAEiiNAASuO9VBJcwvbcuXjsGKGDlOH5GIR+sJ/hrN6LViMvbWxg4PGN+j2rcG7QQ9tr4GDymZwT3W/ga8aD6whxFAst3br+CL4fhNblSP4V5LHNXrtpzjclaFMSV/DYdNP5u9SSbO334XfrGMvyGMTUtap30U/SjtAv+vjNKpH2j0ApC5f5pBPVC5PSIAEFkmgZAImL6JnaH3dwME7+hJcJJ5iys43bIsRp0hEfka3eR9btSa6kS6pgMmL/gitbjjAOOid46PdW9hrXBhxeI124651j7SPZwRJ58CMgIn4NX9AX0Sr+2NwvPQ+QLXyACcXvXA+q/8DTvd3UH3o4TKyxWHsCpim2X+MF73rUBQvHuOgsh3b2b/A8e5tU77kd42e/zH27J7n4Ee0Hu6gGuUzQL9zhoPKDh55Pxr7MuTjmMs/SYAEFkegVAIm8zb/7/0H+I382o9ewIuDU2TJOj82c9iWQAC2E/NewXxYwplDBcx18DBipGJn9+QiGJrWETC3vYK028POGKl5RpkDCQFTMf4ArUsRL/0kbQjrp/boPfYxeX98RfMPfyzdnE+ckmckQAKLJ1AqAQtxmB6D+0JcPKtCLJD5sU8/+SQI2yIbBk/6GRYrGToLPRJjZw59obsCZrN/O9LbMPmiN6KXaK9R+afZ4tQwIWCOoFq3JuoZ9MBEtL/GC/+v8E2PMr49zcbw6mT5xDnyjARIYPEEKGCLb4NUC6abHzMCpHNF7jESmVECYwvYm3Do0R6GM5ZmF7Bw3iyc/0qex2LqVN8WMCO8yeHP8P7QBquHJ/Nk3pMR821GwFwe0d+WkI/Nx7GVf5IACSyUwNoK2Nt2A78wL7BfNJ7jpeVsEM+TLLRtgsInCtsyathOckpcyyJgefTAxg3rjWBrCxgy9sDcrCzHk1AoR+fjJk38PZRP4ir/IAESWDCBtRWwgHvPw8HGNvb2f4fD3z9HbzBAv32CvQ3rl/2CG0iKl/kxO2xLuklGlCrufJHebb/EswjYwIie1TsJstK0Kk4m36h3Z8oLBNNykFAzguG+MQuVEwI2qk6uDZq5fUyp7xAbbW+ti51ez+189DseSYAEykBgjQVMX4KWN5u0SPDi3cQvGm28LUMLWTbI/JgIWfonfNGOHJqD/bJ+Y+a3XHGyhxBDN/jQk/AhTjviqTjGC9EVMFxj2Auxg5a4uu+eoG276tsVSggYgCEvRPUejNstHE6s4dDrGO9JtfN27GGY5oUYeFTGXpeZ8rFt5TkJkMBCCSyxgL1Fz/udWV+UnF9JzLm800A7VYn6aDd+PeTtODS3stDmyV54aPddHLdfj05k5pSq9XO8DLaDuknAJKsrdM9PonVg4nb/Z+8za3H0iB5YYMUVun7TmpeSdWYe2oE7/AgzXQGT225cBybrzTwc7+/Ez0PlAY69Nnq2u76bz9A9GfMZYTq/JgESKJbAEgvYjKCil7m9zZJZ9zQ01DRjWUxOAiRAAiSQO4H1FbBg/svugejQVMq8Te7YmSEJkAAJkMCsBNZUwHT+S8XqGj3d3eHoPDnsNCthpicBEiABEpgLgXIJmHGgiOew5uUNaOa/onVAI/bOmwtyZkoCJEACJJAHgXIJWB41ypJH6vxXloS8hwRIgARIoCwE1lPAgp6ePf9VluagHSRAAiRAAlkJrKGAmfVJG79Dq5fqX5+VHe8jARIgARJYIIH1ErC3bRy/Y68ZYy9sgc8eiyYBEiCBmQisl4DNhIqJSYAESIAEykSAAlam1pjZFtk143N89GUnDNAId2uomQsoUQZZ66bbSpmo0LXP0frD/aEdWPKoWLgbyrh9FfMohXmQAAkoAQqYkliFY+CcYi89yPqSX4XKj6iDepyOiwI9IumkX1PAJiXG+0lgNgIUsNn4lSs1BWy4PVTA6vaWYcO35fENBSwPisyDBLIToIBlZ1XuO91F4MHu8CYopWxa+6dGvCGv/H3eNTu3m2pJ7Ksv69jTxd27dZz6zj1DBNzNerexV286EZFlg9yn1oa+NRw2fXSj3eg1XMlnaH1jbxpcx1n7Elfdb+JNeisPcHLRyzw8GgqK67TzMgzUqbvnq+g/OccLq/7V/RN8l4jsnLLRr8OIAjb0gPALEpgrAQrYXPEWnLm+jJvOHJjEPKt7RjSu0fM/xt6GtXN9WqiRzhkOKrrVVlo9THiWioZakWgrl/CPaogjKKeFVPkBp/s7qEZDekbAbBs1n41NxMFFr9BpPkQ12mg54/DoUA/MSRcJvxWORcuPwr5oXW0BHeZIAUt7TvgdCcyPAAVsfmyLz3mUgGlvQy0KXuoaVFL3hXSdD8z3blrNQx1Eak107ZAl0XWNrWbPyZmLgZ26hCEtHEu6TaFAaDpHiOxy7fOMApaMo+aWH9qYvEcEu4PTmnIEKGA2eJ6TwPwJUMDmz7i4EiYSsG2EL+Q0AQlNTgqGWw0NkHkbh9738L1n1rCg3KsioIJjpU+ISlr5mjYpqkl75ilgKkau7TJk+he0PA8t74kZFo0FmgJmtTFPSaAAAhSwAiAXVsQsAqZzX0NH9yVu10Zc1J+h1UybO1MRsuegkucJAU305DRtVgEzc30J203ahFiK7Y7wBcw2jZjHdUuKpYbaEftlDu9rtLy/wO/8N05r+kNARS9pc5wjz0iABPImQAHLm+gi85tFwBICMl0lBr02Wo0HqG6I6P0DV0HU55te6KYHlih/UgEbNYapw3yxyEwlYCqC0byd4eOIH3tg0z03TEUC0xKggE1LrozpphIwIxaRc4RWTIcIbxIgvd8cbRuC8xRHkP4Fjnd17mgJBMyuk1XdwaWHR5W490YBs+DwlAQKIEABKwByYUXYTgVv+ugPnOEyNUR7FLo2Ks0LsevhcPcW9hoXSXd7zUOH4naP0Ircza/Q9Y6wF4lhmhdiB616DVuRh98SCBiMjbsfw+9dBwQGvec42d+BxK5T5w4KWPRw8IQECiFAASsEc1GFqGu3zNVIz+l1cs2TmuEKmHzf78K357JkrZjXHh+dWtaOedb6ssDtvYFWW9dqScbuWrEdHDQ8tI0QQMWhzEOIMhLZu8CZCK+ZZ6vuN/Bn/3u06rcpYPpc8UgCBROggBUMnMWRAAmQAAnkQ4AClg9H5kICJEACJFAwAQpYwcBZHAmQAAmQQD4EKGD5cGQuJEACJEACBROggBUMnMWRAAmQAAnkQ4AClg9H5kICJEACJFAwAQpYwcBZHAmQAAmQQD4EKGD5cGQuJEACJEACBROggBUMnMWRAAmQAAnkQ4AClg9H5kICJEACJFAwAQpYwcBZHAmQAAmQQD4EKGD5cGQuJEACJEACBROggBUMnMWRAAmQAAnkQ4AClg9H5kICJEACJFAwAQpYwcBZHAmQAAmQQD4EKGD5cGQuJEACJEACBROggBUMnMWRAAmQAAnkQ+D/ABOej2BkoMiLAAAAAElFTkSuQmCC"></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that Andre did not become the champion, find the probability that he lost in the semi-final.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.</p><p><img 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">       <em><strong>(A1)   (C1)<br></strong></em></p>
<p><strong><br>Note:</strong> Award <em><strong>(A1)</strong></em> for the correct pair of probabilities.</p>
<p> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>×</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>+</mo><mfenced><mrow><mn>1</mn><mo>-</mo><mi>p</mi></mrow></mfenced><mo>=</mo><mn>0</mn><mo>.</mo><mn>58</mn></math>       <em><strong>(M1)<br></strong></em></p>
<p><strong><br>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying and adding correct probabilities for losing equated to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>58</mn></math>.<br><br><strong>OR</strong><br><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>×</mo><mn>0</mn><mo>.</mo><mn>6</mn><mo>=</mo><mn>1</mn><mo>-</mo><mn>0</mn><mo>.</mo><mn>58</mn></math>       <em><strong>(M1)</strong></em></p>
<p><strong><br>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying correct probabilities for winning equated to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>-</mo><mn>0</mn><mo>.</mo><mn>58</mn></math>  or  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>42</mn></math>.<br><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>p</mi><mo>=</mo></mrow></mfenced><mo> </mo><mn>0</mn><mo>.</mo><mn>7</mn></math>       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>      (C2)</strong></em></p>
<p><br><strong>Note:</strong> Follow through from their part (a). Award the final <em><strong>(A1)</strong></em><strong>(ft)</strong> only if their <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> is within the range <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>1</mn></math>.</p>
<p><em><strong><br>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>0</mn><mo>.</mo><mn>3</mn></mrow><mrow><mn>0</mn><mo>.</mo><mn>58</mn></mrow></mfrac><mo> </mo><mfenced><mfrac><mrow><mn>1</mn><mo>-</mo><mn>0</mn><mo>.</mo><mn>7</mn></mrow><mrow><mn>0</mn><mo>.</mo><mn>58</mn></mrow></mfrac></mfenced></math>       <em><strong>(A1)</strong></em><strong>(ft)<em>(A1)</em></strong><em><strong><br></strong></em></p>
<p><strong><br>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct numerator. Follow through from part (b). Award <em><strong>(A1)</strong></em> for the correct denominator.<br><br><strong>OR</strong><br><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>0</mn><mo>.</mo><mn>3</mn></mrow><mrow><mn>0</mn><mo>.</mo><mn>3</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>×</mo><mn>0</mn><mo>.</mo><mn>4</mn></mrow></mfrac></math>       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></p>
<p><strong><br>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct numerator. Follow through from part (b). Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct calculation of Andre losing the semi-final or winning the semi-final and then losing in the final. Follow through from their parts (a) and (b).<br><br><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>15</mn><mn>29</mn></mfrac><mo> </mo><mfenced><mrow><mn>0</mn><mo>.</mo><mn>517</mn><mo>,</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>517241</mn><mo>…</mo><mo>,</mo><mo> </mo><mn>51</mn><mo>.</mo><mn>7</mn><mo>%</mo></mrow></mfenced></math>       <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>      (C3)</strong></em></p>
<p><br><strong>Note:</strong> Follow through from parts (a) and (b).</p>
<p><em><strong><br>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
  <mi>X</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="Y">
  <mi>Y</mi>
</math></span> be normally distributed with&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X \sim {\text{N}}\left( {14{\text{, }}{a^2}} \right)">
  <mi>X</mi>
  <mo>∼<!-- ∼ --></mo>
  <mrow>
    <mtext>N</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>14</mn>
      <mrow>
        <mtext>,&nbsp;</mtext>
      </mrow>
      <mrow>
        <msup>
          <mi>a</mi>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> and&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="Y \sim {\text{N}}\left( {22{\text{, }}{a^2}} \right)">
  <mi>Y</mi>
  <mo>∼<!-- ∼ --></mo>
  <mrow>
    <mtext>N</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mn>22</mn>
      <mrow>
        <mtext>,&nbsp;</mtext>
      </mrow>
      <mrow>
        <msup>
          <mi>a</mi>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>,&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a > 0">
  <mi>a</mi>
  <mo>&gt;</mo>
  <mn>0</mn>
</math></span>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span> so that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {X &gt; b} \right) = {\text{P}}\left( {Y &lt; b} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>X</mi> <mo>&gt;</mo> <mi>b</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>Y</mi> <mo>&lt;</mo> <mi>b</mi> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {X &gt; 20} \right) = 0.112"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>X</mi> <mo>&gt;</mo> <mn>20</mn> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>0.112</mn> </math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {16 &lt; Y &lt; 28} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mn>16</mn> <mo>&lt;</mo> <mi>Y</mi> <mo>&lt;</mo> <mn>28</mn> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><strong>METHOD 1</strong></p>
<p>recognizing that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span> is midway between the means of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="14"> <mn>14</mn> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="22"> <mn>22</mn> </math></span>.          <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <img src="data:image/png;base64,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">,  <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = \frac{{14 + 22}}{2}"> <mi>b</mi> <mo>=</mo> <mfrac> <mrow> <mn>14</mn> <mo>+</mo> <mn>22</mn> </mrow> <mn>2</mn> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = 18"> <mi>b</mi> <mo>=</mo> <mn>18</mn> </math></span>        <em><strong>A1</strong></em><em><strong>   N2</strong></em></p>
<p> </p>
<p><strong>METHOD 2</strong></p>
<p>valid attempt to compare distributions          <em><strong>(M1)</strong></em></p>
<p><em>eg</em>    <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{b - 14}}{a} = \frac{{b - 22}}{a}{\text{, }}b - 14 = 22 - b"> <mfrac> <mrow> <mi>b</mi> <mo>−</mo> <mn>14</mn> </mrow> <mi>a</mi> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>b</mi> <mo>−</mo> <mn>22</mn> </mrow> <mi>a</mi> </mfrac> <mrow> <mtext>, </mtext> </mrow> <mi>b</mi> <mo>−</mo> <mn>14</mn> <mo>=</mo> <mn>22</mn> <mo>−</mo> <mi>b</mi> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = 18"> <mi>b</mi> <mo>=</mo> <mn>18</mn> </math></span>        <em><strong>A1</strong></em><em><strong>   N2</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>valid attempt to compare distributions (seen anywhere)       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="Y"> <mi>Y</mi> </math></span> is a horizontal translation of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X"> <mi>X</mi> </math></span> of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="8"> <mn>8</mn> </math></span> units to the right,</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {16 &lt; Y &lt; 28} \right) = {\text{P}}\left( {8 &lt; X &lt; 20} \right){\text{, P}}\left( {Y &gt; 22 + 6} \right) = {\text{P}}\left( {X &gt; 14 + 6} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mn>16</mn> <mo>&lt;</mo> <mi>Y</mi> <mo>&lt;</mo> <mn>28</mn> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mn>8</mn> <mo>&lt;</mo> <mi>X</mi> <mo>&lt;</mo> <mn>20</mn> </mrow> <mo>)</mo> </mrow> <mrow> <mtext>, P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>Y</mi> <mo>&gt;</mo> <mn>22</mn> <mo>+</mo> <mn>6</mn> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>X</mi> <mo>&gt;</mo> <mn>14</mn> <mo>+</mo> <mn>6</mn> </mrow> <mo>)</mo> </mrow> </math></span></p>
<p>valid approach using symmetry       <em><strong>(M1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - 2{\text{P}}\left( {X &gt; 20} \right){\text{, }}1 - 2{\text{P}}\left( {Y &lt; 16} \right){\text{, }}2 \times {\text{P}}\left( {14 &lt; X &lt; 20} \right){\text{, P}}\left( {X &lt; 8} \right) = {\text{P}}\left( {X &gt; 20} \right)"><mn>1</mn><mo>−</mo><mn>2</mn><mtext>P</mtext><mrow><mo>(</mo><mi>X</mi><mo>&gt;</mo><mn>20</mn><mo>)</mo></mrow><mtext>, </mtext><mn>1</mn><mo>−</mo><mn>2</mn><mtext>P</mtext><mrow><mo>(</mo><mi>Y</mi><mo>&lt;</mo><mn>16</mn><mo>)</mo></mrow><mtext>, </mtext><mn>2</mn><mo>×</mo><mtext>P</mtext><mrow><mo>(</mo><mn>14</mn><mo>&lt;</mo><mi>x</mi><mo>&lt;</mo><mn>20</mn><mo>)</mo></mrow><mtext>, P</mtext><mrow><mo>(</mo><mi>X</mi><mo>&lt;</mo><mn>8</mn><mo>)</mo></mrow><mo>=</mo><mtext>P</mtext><mrow><mo>(</mo><mi>X</mi><mo>&gt;</mo><mn>20</mn><mo>)</mo></mrow></math></span></p>
<p>correct working          <em><strong>(A1)</strong></em></p>
<p><em>eg</em>   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 - 2\left( {0.112} \right){\text{, }}2 \times \left( {0.5 - 0.112} \right){\text{, }}2 \times 0.388{\text{, }}0.888 - 0.112"> <mn>1</mn> <mo>−</mo> <mn>2</mn> <mrow> <mo>(</mo> <mrow> <mn>0.112</mn> </mrow> <mo>)</mo> </mrow> <mrow> <mtext>, </mtext> </mrow> <mn>2</mn> <mo>×</mo> <mrow> <mo>(</mo> <mrow> <mn>0.5</mn> <mo>−</mo> <mn>0.112</mn> </mrow> <mo>)</mo> </mrow> <mrow> <mtext>, </mtext> </mrow> <mn>2</mn> <mo>×</mo> <mn>0.388</mn> <mrow> <mtext>, </mtext> </mrow> <mn>0.888</mn> <mo>−</mo> <mn>0.112</mn> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {16 &lt; Y &lt; 28} \right) = 0.776"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mn>16</mn> <mo>&lt;</mo> <mi>Y</mi> <mo>&lt;</mo> <mn>28</mn> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>0.776</mn> </math></span>        <em><strong>A1</strong></em><em><strong>   N3</strong></em></p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following sets:</p>
<p style="padding-left: 210px;">The universal set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
  <mi>U</mi>
</math></span> consists of all positive integers less than 15;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
  <mi>A</mi>
</math></span> is the set of all numbers which are multiples of 3;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
  <mi>B</mi>
</math></span> is the set of all even numbers.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B"> <mi>A</mi> <mo>∩</mo> <mi>B</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B'"> <mi>A</mi> <mo>∩</mo> <msup> <mi>B</mi> <mo>′</mo> </msup> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n\left( {A \cap B'} \right)"> <mi>n</mi> <mrow> <mo>(</mo> <mrow> <mi>A</mi> <mo>∩</mo> <msup> <mi>B</mi> <mo>′</mo> </msup> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A"> <mi>A</mi> </math></span> = {3, 6, 9, 12}  <strong>AND </strong> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B"> <mi>B</mi> </math></span> = {2, 4, 6, 8, 10, 12, 14}      <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for listing all elements of sets <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A"> <mi>A</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B"> <mi>B</mi> </math></span>. May be seen in part (b). Condone the inclusion of 15 in set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A"> <mi>A</mi> </math></span> when awarding the <em><strong>(M1)</strong></em>.</p>
<p>6, 12     <em><strong>(A1)(A1)   (C3)  </strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct element. Award <em><strong>(A1)(A0)</strong></em> if one additional value seen. Award <em><strong>(A0)(A0)</strong></em> if two or more additional values are seen.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>3, 9     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>   (C2)  </strong></em></p>
<p><strong>Note:</strong> Follow through from part (a) but only if their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A"> <mi>A</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B"> <mi>B</mi> </math></span> are explicitly listed.<br>Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for each correct element. Award <em><strong>(A1)(A0)</strong></em> if one additional value seen. Award <em><strong>(A0)(A0)</strong></em> if two or more additional values are seen.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>   (C1)  </strong></em></p>
<p><strong>Note:</strong> Follow through from part (b)(i).</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains 5 green balls and 3 white balls. Two balls are selected at random without replacement.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the following tree diagram.</p>
<p><img src="images/Schermafbeelding_2018-02-11_om_09.35.12.png" alt="N17/5/MATME/SP1/ENG/TZ0/01.a"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that exactly one of the selected balls is green.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p>correct probabilities</p>
<p><img src="images/Schermafbeelding_2018-02-11_om_09.51.13.png" alt="N17/5/MATME/SP1/ENG/TZ0/01.a/M">     <strong><em>A1A1A1     N3</em></strong></p>
<p> </p>
<p><strong>Note:</strong>     Award <strong><em>A1 </em></strong>for each correct <strong>bold</strong> answer.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>multiplying along branches     <strong><em>(M1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8} \times \frac{3}{7},{\text{ }}\frac{3}{8} \times \frac{5}{7},{\text{ }}\frac{{15}}{{56}}"> <mfrac> <mn>5</mn> <mn>8</mn> </mfrac> <mo>×</mo> <mfrac> <mn>3</mn> <mn>7</mn> </mfrac> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> <mo>×</mo> <mfrac> <mn>5</mn> <mn>7</mn> </mfrac> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mn>15</mn> </mrow> <mrow> <mn>56</mn> </mrow> </mfrac> </math></span></p>
<p>adding probabilities of correct mutually exclusive paths     <strong><em>(A1)</em></strong></p>
<p><em>eg</em><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,\,\,"> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> </math><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8} \times \frac{3}{7} + \frac{3}{8} \times \frac{5}{7},{\text{ }}\frac{{15}}{{56}} + \frac{{15}}{{56}}"> <mfrac> <mn>5</mn> <mn>8</mn> </mfrac> <mo>×</mo> <mfrac> <mn>3</mn> <mn>7</mn> </mfrac> <mo>+</mo> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> <mo>×</mo> <mfrac> <mn>5</mn> <mn>7</mn> </mfrac> <mo>,</mo> <mrow> <mtext> </mtext> </mrow> <mfrac> <mrow> <mn>15</mn> </mrow> <mrow> <mn>56</mn> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <mn>15</mn> </mrow> <mrow> <mn>56</mn> </mrow> </mfrac> </math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{30}}{{56}}{\text{ }}\left( { = \frac{{15}}{{28}}} \right)"> <mfrac> <mrow> <mn>30</mn> </mrow> <mrow> <mn>56</mn> </mrow> </mfrac> <mrow> <mtext> </mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mo>=</mo> <mfrac> <mrow> <mn>15</mn> </mrow> <mrow> <mn>28</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </math></span>     <strong><em>A1     N2</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Place the numbers <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2\pi {\text{,}}\,\, - 5{\text{,}}\,\,{3^{ - 1}}"> <mn>2</mn> <mi>π</mi> <mrow> <mtext>,</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mo>−</mo> <mn>5</mn> <mrow> <mtext>,</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mrow> <msup> <mn>3</mn> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{2^{\frac{3}{2}}}"> <mrow> <msup> <mn>2</mn> <mrow> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mrow> </math></span> in the correct position on the Venn diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the table indicate which <strong>two</strong> of the given statements are true by placing a tick (✔) in the right hand column.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p>
<p><img 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">     <strong><em>(A1)(A1)(A1)(A1)</em><em>   </em></strong><strong><em>(C4)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each number in the correct position.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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">     <strong><em>(A1)(A1)</em><em>   </em></strong><strong><em>(C2)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correctly placed tick.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 60 sports enthusiasts visited the PyeongChang 2018 Winter Olympic games to watch a variety of sporting events.</p>
<p>The most popular sports were snowboarding (<em>S</em>), figure skating (<em>F</em>) and ice hockey (<em>H</em>).</p>
<p>For this group of 60 people:</p>
<p style="padding-left: 120px;">4 did not watch any of the most popular sports,<br><em>x</em> watched all three of the most popular sports,<br>9 watched snowboarding only,<br>11 watched figure skating only,<br>15 watched ice hockey only,<br>7 watched snowboarding and figure skating,<br>13 watched figure skating and ice hockey,<br>11 watched snowboarding and ice hockey.</p>
</div>

<div class="question">
<p>Find the value of <em>x</em>.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="4 + 9 + 11 + 15 + x + \left( {7 - x} \right) + \left( {11 - x} \right) + \left( {13 - x} \right) = 60"> <mn>4</mn> <mo>+</mo> <mn>9</mn> <mo>+</mo> <mn>11</mn> <mo>+</mo> <mn>15</mn> <mo>+</mo> <mi>x</mi> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>7</mn> <mo>−</mo> <mi>x</mi> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>11</mn> <mo>−</mo> <mi>x</mi> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>13</mn> <mo>−</mo> <mi>x</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>60</mn> </math></span>     <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for equating the sum of at least seven of the entries in their Venn diagram to 60.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {x = } \right)\,\,5"> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mo>=</mo> </mrow> <mo>)</mo> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mn>5</mn> </math></span>     <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a), but only if answer is positive.</p>
<p><em><strong>[2 marks]</strong></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Let <em>A</em> and <em>B</em> be events such that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( A \right) = 0.5">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>A</mi>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.5</mn>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( B \right) = 0.4">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>B</mi>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.4</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A \cup B} \right) = 0.6">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mo>∪</mo>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.6</mn>
</math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\left. {A\,} \right|B} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
        <mrow>
          <mi>A</mi>
          <mspace width="thinmathspace"></mspace>
        </mrow>
        <mo>|</mo>
      </mrow>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>attempt to substitute into <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A \cup B} \right) = {\text{P}}\left( A \right) + {\text{P}}\left( B \right) - {\text{P}}\left( {A \cap B} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mo>∪</mo>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>A</mi>
    <mo>)</mo>
  </mrow>
  <mo>+</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mi>B</mi>
    <mo>)</mo>
  </mrow>
  <mo>−</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mo>∩</mo>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>    <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Accept use of Venn diagram or other valid method.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.6 = 0.5 + 0.4 - {\text{P}}\left( {A \cap B} \right)">
  <mn>0.6</mn>
  <mo>=</mo>
  <mn>0.5</mn>
  <mo>+</mo>
  <mn>0.4</mn>
  <mo>−</mo>
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mo>∩</mo>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>    <em><strong>(A1)</strong></em></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A \cap B} \right) = 0.3">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mi>A</mi>
      <mo>∩</mo>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.3</mn>
</math></span> (seen anywhere)     <em><strong>A1</strong></em></p>
<p>attempt to substitute into <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\left. {A\,} \right|B} \right) = \frac{{{\text{P}}\left( {A \cap B} \right)}}{{{\text{P}}\left( B \right)}}">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
        <mrow>
          <mi>A</mi>
          <mspace width="thinmathspace"></mspace>
        </mrow>
        <mo>|</mo>
      </mrow>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mi>A</mi>
          <mo>∩</mo>
          <mi>B</mi>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>P</mtext>
      </mrow>
      <mrow>
        <mo>(</mo>
        <mi>B</mi>
        <mo>)</mo>
      </mrow>
    </mrow>
  </mfrac>
</math></span>    <em><strong>(M1)</strong></em></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = \frac{{0.3}}{{0.4}}">
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>0.3</mn>
    </mrow>
    <mrow>
      <mn>0.4</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\left. {A\,} \right|B} \right) = 0.75\left( { = \frac{3}{4}} \right)">
  <mrow>
    <mtext>P</mtext>
  </mrow>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mrow>
        <mo fence="true" stretchy="true" symmetric="true"></mo>
        <mrow>
          <mi>A</mi>
          <mspace width="thinmathspace"></mspace>
        </mrow>
        <mo>|</mo>
      </mrow>
      <mi>B</mi>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>
  <mn>0.75</mn>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>=</mo>
      <mfrac>
        <mn>3</mn>
        <mn>4</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>    <em><strong>A1</strong></em></p>
<p><em><strong>[5 marks]</strong></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>