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<h2>SL Paper 1</h2><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="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>
<br><hr><br><div class="specification">
<p>On <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn></math> journeys to his office, Isaac noted whether or not it rained. He also recorded his journey time to the office, and classified each journey as short, medium or long.</p>
<p>Of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn></math> journeys to the office, there were <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math> short journeys when it rained, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> medium journeys when it rained, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math> long journeys when it rained. There were also <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>14</mn></math> short journeys when it did not rain.</p>
<p>Isaac carried out a <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>χ</mi><mn>2</mn></msup></math> test at the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>%</mo></math> level of significance on these data, looking at the weather and the types of journeys.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>0</mn></msub></math>, the null hypothesis for this test.</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 expected number of short trips when it rained.</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>The <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for this test is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>0206</mn></math>.</p>
<p>State the conclusion to Isaac’s test. Justify your reasoning.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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>, 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 <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> race. The times the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math> athletes 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>
<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>
<br><hr><br><div class="specification">
<p>A food scientist measures the weights of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>760</mn></math> potatoes taken from a single field and the distribution of the weights is shown by the cumulative frequency curve below.</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 number of potatoes in the sample with a weight of more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>200</mn></math> grams.</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 median weight.</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 lower quartile.</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>Find the upper quartile.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The weight of the smallest potato in the sample is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math> grams and the weight of the largest is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400</mn></math> grams.</p>
<p>Use the scale shown below to draw a box and whisker diagram showing the distribution of the weights of the potatoes. You may assume there are no outliers.</p>
<p> </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">c.</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>
<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>
<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>
<br><hr><br><div class="specification">
<p>Deb used a thermometer to record the maximum daily temperature over ten consecutive days. Her results, in degrees Celsius (<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>°</mo><mtext>C</mtext></math>), are shown below.</p>
<p style="text-align: center;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>14</mn><mo>,</mo><mo> </mo><mn>15</mn><mo>,</mo><mo> </mo><mn>14</mn><mo>,</mo><mo> </mo><mn>11</mn><mo>,</mo><mo> </mo><mn>10</mn><mo>,</mo><mo> </mo><mn>9</mn><mo>,</mo><mo> </mo><mn>14</mn><mo>,</mo><mo> </mo><mn>15</mn><mo>,</mo><mo> </mo><mn>16</mn><mo>,</mo><mo> </mo><mn>13</mn></math></p>
<p style="text-align: left;">For this data set, find the value of</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the mode.</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>the mean.</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>the standard deviation.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>120</mn></math> students sat a history exam. The cumulative frequency graph shows the scores obtained by the students.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The students were awarded a grade from <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>, depending on the score obtained in the exam. The number of students receiving each grade is 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>The mean grade for these students is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>.</mo><mn>65</mn></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median of the scores obtained.</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 an expression for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> in terms 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">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of students who obtained a grade <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the minimum score needed to obtain a grade <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The masses of Fuji apples are normally distributed with a mean of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>163</mn><mo> </mo><mtext>g</mtext></math> and a standard deviation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>.</mo><mn>83</mn><mo> </mo><mtext>g</mtext></math>.</p>
<p>When Fuji apples are picked, they are classified as small, medium, large or extra large depending on their mass. Large apples have a mass of between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>172</mn><mo> </mo><mtext>g</mtext></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>183</mn><mo> </mo><mtext>g</mtext></math>.</p>
</div>
<div class="specification">
<p>Approximately <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>68</mn><mo>%</mo></math> of Fuji apples have a mass within the medium-sized category, which is between <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>172</mn><mo> </mo><mtext>g</mtext></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the probability that a Fuji apple selected at random will be a large apple.</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 <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>
<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;" 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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 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 <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></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>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>
<br><hr><br><div class="specification">
<p>The marks achieved by students taking a college entrance test follow a normal distribution with mean 300 and standard deviation 100.</p>
<p>In this test, 10 % of the students achieved a mark greater than <em>k</em>.</p>
</div>
<div class="specification">
<p>Marron College accepts only those students who achieve a mark of at least 450 on the test.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <em>k</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 probability that a randomly chosen student will be accepted by Marron College.</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 Naomi attends Marron College, find the probability that she achieved a mark of at least 500 on the test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Ms Calhoun measures the heights of students in her mathematics class. She is interested to see if the mean height of male students, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\mu _1}">
<mrow>
<msub>
<mi>μ<!-- μ --></mi>
<mn>1</mn>
</msub>
</mrow>
</math></span>, is the same as the mean height of female students, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\mu _2}">
<mrow>
<msub>
<mi>μ<!-- μ --></mi>
<mn>2</mn>
</msub>
</mrow>
</math></span>. The information is recorded in the table.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"></p>
<p>At the 10 % level of significance, a <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
<mi>t</mi>
</math></span>-test was used to compare the means of the two groups. The data is assumed to be normally distributed and the standard deviations are equal between the two groups.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the null hypothesis.</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>State the alternative hypothesis.</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>Calculate the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>-value for this test.</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, giving a reason, whether Ms Calhoun should accept the null hypothesis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In a school, students in grades 9 to 12 were asked to select their preferred drink. The choices were milk, juice and water. The data obtained are organized in the following table.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.06.16.png" alt="M17/5/MATSD/SP1/ENG/TZ1/06"></p>
<p>A <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\chi ^2}">
<mrow>
<msup>
<mi>χ<!-- χ --></mi>
<mn>2</mn>
</msup>
</mrow>
</math></span> test is carried out at the 5% significance level with hypotheses:</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\begin{array}{*{20}{l}} {{{\text{H}}_{\text{0}}}{\text{: the preferred drink is independent of the grade}}} \\ {{{\text{H}}_{\text{1}}}{\text{: the preferred drink is not independent of the grade}}} \end{array}">
<mtable columnalign="left" rowspacing="4pt" columnspacing="1em">
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mrow>
<mtext>H</mtext>
</mrow>
<mrow>
<mtext>0</mtext>
</mrow>
</msub>
</mrow>
<mrow>
<mtext>: the preferred drink is independent of the grade</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mrow>
<mtext>H</mtext>
</mrow>
<mrow>
<mtext>1</mtext>
</mrow>
</msub>
</mrow>
<mrow>
<mtext>: the preferred drink is not independent of the grade</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</math></span></p>
<p>The <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\chi ^2}">
<mrow>
<msup>
<mi>χ<!-- χ --></mi>
<mn>2</mn>
</msup>
</mrow>
</math></span> critical value for this test is 12.6.</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="x">
<mi>x</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>Write down the number of degrees of freedom for this test.</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 your graphic display calculator to find the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\chi ^2}">
<mrow>
<msup>
<mi>χ</mi>
<mn>2</mn>
</msup>
</mrow>
</math></span> statistic for this test.</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>State the conclusion for this test. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A disc is divided into <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math> sectors, number <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math>. The angles at the centre of each of the sectors <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>u</mi><mi>n</mi></msub></math> form an arithmetic sequence, with <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>u</mi><mn>1</mn></msub></math> being the largest angle.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYAAAADwCAYAAAAJkrPKAAAgAElEQVR4Aex9d3hVVfru/efen9KbithFQdGx/NQZZ9QZHZVUCL33Kki1oFjp6b0DIQkQehICCS30QCCUAKEkISG993rKLue9z7f2OSFISK9k7efZnMM+u6z1rp3vXeur/wd84whwBDgCHIFOicD/6ZS95p3mCHAEOAIcAXAC4C8BR4AjwBHopAhwAuikA8+7zRHgCHAEOAHwd4AjwBHgCHRSBDgBdNKB593mCHAEOAKcADrYOyDrdNDpZOh0EmSdzHZJJ0GSJdAn/Q5ZB9An3zgCHAGOQC0IcAKoBZz2+JNOFvSCXwedJCu7LEEnS5BlGaKeHAC5PTaft4kjwBFoRwhwAmjBwWCzcZqIP7DT7FyZoNMkXafTQdaJ0LFd+YGO55eqkJBVgrj0YsSlFyIuLR+3k3Nw4U4a9p2+Aae9Z7Bmywn8tPEY/txyGn/6nYZPWDSOXoxDdEIu7qTmIT69QNkzCpCaUwytILHnKSsIWkXIkKj/OjoOiNQW6MD+ZSsNKKuJFsSI35ojwBFoOwQ4AbQg9rJM6hpSy5CKRoYkidDJMmRZgihrkVVcinO303D+Vhq8QqIx8c9AjPtzHyx+D8KbU1zQy3gtehhZoquRDboZ26PLUFt0NdmALsY2+B9je/QwssETX2/Ak0Mt0cXEEl2HrkcXIxt0Nabdln3vYmSLrl9boc9wW/xnuT/G0DNWBWKuTTDCLibg8q0kXLmbgQqtFrJM7VNWFqIsgnZSK/GNI8AReDwR4ATQguNKwl7QydDKIrKKKhF8Khb+h29gxAoffLLYF69McEV3Ixv0HLoBTxrZ4J1pbhi/NhgT1+3H1A0h+H3zGRy+kIgr8em4rN+vxGbgalwmrsRl4VJsCl4a44SfPI8hKj4Dl+OycCVW2S/HZbBrLt5Jhe/ha1joEIppa4IwcV0IzH8LRG9zK3Q3Xo8nTWzRzXg9/neeFz791gtL3cIQeOYmjl9OgCCJEDkBtOAbwm/NEWhbBDgBNAF/NluWSYWjzPRptk+7WtShTCVi14lrsNt5AR/P9sDA8W7oZWyNvhYOGDLdC9+7H8NPXkcQHBGLxKxiJGSVobBcrVe/SABTCSlqGlITMR0NPUevoiEDsFrSYOB4Jzjui2I2AHo2ICp79Wtkg11YZveRZB1Sc8twL7MEt5PzYbvrAlZ4nMA0yzA8Z2GHvsOc0MPEAX+bsRGjVu6CZ9AFXEvMQKVaWc3oaKXADNA6RW2k77+i62oCoPxSjgBHoFUR4ATQBLhFEtKyAEkno6C8AtdSirDe9wSMftiO58c5oYepAwaOd8CwX3bCcttZnLiehMLSCpRUCtBJAkiQSnph2uBm6ACNqMXACS5wDIyEjmQ7MzbU705EKlW7rGWqHq0oI7+0Eun5FfA9EAXLbSfw/iwvPD3GBX2GO+PV8U5Y6HYEHsFRyCyohFYQoRMFgIzRMpEV9zyqH/r8LI5A+0CAE0ATxiG3iHT4qVjqchxvT3JCLzNbPDfOFR/N84ZzYBQORtxGmUZiqhTy2FFcNUnwkszUgWwEdKxRgrM5CYAJcMWNlMiMVhfULlEnMCGfkFUM39BLmGsXhHdnb0FPM2v0NbPC8JW74LjnAmJTc6EVBDAWagKe/FKOAEegdRHgBFAL3jpJgpYZbRXjKAnGCkHEmZhkLHYIxaDJznhyqBXemOqO8av2IPhCHNJzC5g7ZqOEei1teeinJhLAQ/erzwEZUEtanL+ZDMd95/D5Mj/0NLVEV2NLfP3dTmzcfxnxaXkQZFrdCIzkyJBM7qmKlxN3Ta0PzPwcjkBrIcAJoBakyStG1mkhSjrE3MvA7/5n8Pc5G9HtazsMGOOI2dZhOHEjGdmF5Yr3DJvNK6oQEnoturUBAZDNg1xGQTEHkgRJkHA7KRcbg6Ng9tMePGlshX6jXGDy/TYEnb6F0koVdCLZC2jVw1VELfo+8JtzBBqBACcAAo356SuG1uqRtmTIDTobi2Erd6L/CDv0MbZCLzM77DgVg6yCUsVFUiKVicEQrKh1lBlvC+vD24AASMVDJEA8QOQosH6TCkuEWhCRmFHAbB0fz/dC92FWeG2SC1Z4H0NcRgkEUYlcJv0XEQLRIzMZcLtBI/5s+SUcgeZBgBOAPtaJdN+k95YlNXKKVXDbexFvTXNBLzMbfDDXB3Y7z2HL4VvobWaLA5F3mAG3eYagkXdpCwKoo6ks8E0WUaSWcPxKIhY4hGDAOBf0HW6L8X/swNFLCShXayBJFGugxES0uKqsjjbznzkCnRkBTgA0+jSrlSTczS7Car9TeHGsI/oOt4fJigCEnI6BRitClkSoBBHvznDF2FWB7Pw2fXHaIQEwVQ/p+6tSU0hIySnDOv/TeHOGF7oPtcFXy/1wIPI2CpgnFKnYWnil1KaDxB/OEWjfCHQ6AmCJDpgqw+C6KCIluwhLXA6jv4Uz+g9zxjeOh3A5IVuvGZKZmyepLChNwh+bTuClCS7IKCjX67bbSIC1QwIgFRFThzH1jqRX8yixEWVqAUERt/DJtz540sgO/5jrhYAjN1CuVrPIaCIPiXYWPd3C9pP2/TfJW8cRaDUEOh0BkP5aZEnUBJSpVdh06BpeG++MvsNsscQ5DHHp+ZBlDfNiqWkU7qQWoPcwFxYcxWa8ep12Tee26LH2SACP6LABJ0GWUKZSI+z8HfxnmT+eHGoL4x93Ijo+C7KsBSTCXSGRR9yKH+YIcASaEYFOSAA6aDRaBEXE4eMFm1iw1qTVO3E3vRiyRK6LFNykgyjXnANHrRHw5fdb8e/FvpAkxYefBFyrbx2QAMhYLOhzIlVUVCDsXCw+XOCNp0baY5ZlCOLT8yHIIk9A1+ovE39gZ0XgsSYAli+f6aTJwKthnijHLsfj6+/90XuYPf67PACHI+OgoWjWem40Q90cdhXdTK0ReTOFJUyjY62+dSACqAkbw6qgpFKDddtO46XR9ug33BorvI4ip7CM2VwoDoPcR/nGEeAItAwCjzUBkOwgnTIlZEvNLsG3TiHobWqHIVM9sS38BlQiZcDUsEyd9YVXpxOQlleGFyzssNwtXNF5S20gpB4TAmApJAQNUnJLscjuIHoMd8Q7M73gd+waytUq5nZa37Hh53EEOAINQ+DxIwB93jTS9UMnQCVI2Hr4KgZM9MTzoxyx3u80MorKWYpmVlClgUZHluJZ0mGeXSgGT3ZHdkEZi3RtGOzNcPZjQgC0ShNZXIHEbDNX7qTD4qet6DqUUk3sRExKQVWeIZbviGnb2kDl1gxDxm/BEWhvCDx2BEDqeJqlk775xt0cDP9lN7qaWGPMbwG4nlLEPE2aMgjMy0UWcDImCd2MrBB4NpY9qyn3bNS1HZwAauozqYWIYNVaCb5hURgy3QNPWdhiXUAESlQa6HT6mgVtYXOpqcH8GEeggyPwGBKAkq/Hencknh1lj1cmOGH3iZsg460sadnMvyljpiRKE5n74kcLfDB2bTCbuTblno269rEkAEoXoUQMS5KA1NxyLLQ5hJ4mtvhy8VacvJmuGN7bQOPWqDHiF3EE2jkCHZoAmCFRH3hEM0eNICPkQhw+XeiD1ya6YZX/WeQVV1T5mbOgoybOHg3GS/r0CIpEd3Mb3EzIZhk0WQBUaxktH0sCMKSoVuoWUK4IQdLiYmwGRvy2D/1HOGC+fQiz57CqajoeSNbO5QtvXjtHoGMTgD6lsigDOcXlsPh1G3qbOmH8mv1Izi1j6Rp0LNd9y0wZswvL8Mokd3zvfQISFWun/P6tNeCPIQHUBJ2SNluCVhIRfO4O3p62GU+PcIL3wWuQBDX3EqoJNH6MI1BPBDoeATAdvz6hmEgzQBFhF2Lx7iwfPD/aBc6BZyGIMlj+fX10KZ3TEhvlDlpgG4JXxtuhqJKeSW6LLfGkGu7ZSQjAoBJirrayjKyicgz/2Q89TK0x2yYUeSWV+mpoCvCGFVoNiPFDHAGOwF8Q6HAEwEoRskheERUaDdyCotHfwhHvztqIm8l5TBj8pY8t9l8igEMX49B3mAN2h8eAVhskgFpl6yQEUB1LyrJKqj6tIMNl3yX0MrXGpwu342pyrpJcjhmRedrp6pjx7xyB2hDogASgY0K+sELE1DV70P1rWyx3D0MeuXZKGlajtrYON+dvlEBOLUl4Z4Y7hq3cDioRydxPm/Mhj7pXJyQA8uwi3T8RAUVqn76RgY/muuDZEa7YfuImMxC3SiruR40JP84R6GAIdBgCoIk1JWOTJRm3UvJg9tM2PDXCDmu3nWO+/mTgpXOUwuitMwpk9BV1MtZuO4mnxzkjIS239bJbdkoCUGb3ippHMRTfyy7F0OVb0NvCAc67IlGpMeQTat13oXXeOP4UjkDzItBxCICW/5IWZ66l4oVxznhtvBMu3E5n+Xsot3xbbKSOogyWiVnl6DPMHvZ7zgGtZQbuhARQ0xjTiqBcXYnfN59Bj2F2sPh1O0orNNCRy+8j8jnVdB9+jCPQGRHoMARA6pZjV5MwYIwrhkx1xvXEHKYKIgFMqpe22Aypi7UaDcb8uQcfzvFGpaaV/IA4AbAhl1ncgARR1sJ66wl0M7XH8F+2I6+M0ky3zXvRFu8ifyZHoDEItGsCoKU+0/lKEnYdv8mKtExcvRfJuSWQye2ytQyudSBLK4GAEzF40mgDImIy2KpE29KzT04AD42KLOmw72QMXp7ggk8W+CAlpxA6qj6mk3hOoYfQ4gc4AkC7JwDyrw+MiEdfC2vMczgClYYShJHPPemD28kQ6iTkFpVj8BQ3zLQ8wGae5K3SohsngIfgpXTetMfcy8eQqe7450JfZBRSIKCq9byzHmoVP8ARaL8ItEsCYK6eoJmbFvvOJKCfuSVG/7oH5VoVcwMUyeBLAraFZWx9h43UUBQDsNghFC+PdUZ6fgGkls4QygngoeEhJwGq7QydiNspeRg4wRGffeuHtIIygGJDmJMAJQl86FJ+gCPQKRFolwRAs35J0mL3mbvoO2wdPpy1GakFpZB0GnIFaocblTKUcTEuB92NreB3LJoZrFu0oZwAHgkvyXdKCHjwYiJ6m27Av77dgnQq4SkLyt5ulo6P7AL/gSPQKgi0SwKg0oG7T8eit4U1Pp63Bal5pPMXWdh/qwVaNQB+HRRvIJVWxL8WbcGoP/ZDLWgbcIdGnMoJ4JGgKTN9JTWH79Hr6G1mic8WbkZSfoWeAB55Kf+BI9CpEGg3BMDUPlRUXJYQePImeg6zxr/meyElr5T5/rPCIfo0EO1vhHTMIE198Nh/GT1NrRGXUVRVNL5FSKsRBMCM6qxwu8xy7FMRd9qZkZSpsdrl8uqh4WZ46osDkCqQ/v8Axvr3hIiAorX9jtxEH1M7fLZgMzLZSkCExA3DD+HKD3Q+BNoNAZDRVJYrsOdUHHoPt8MH32xBSk4JBHZcCQDqCMNzNy0PT49xhtXW41WC6QHh1FydaAQBkBKcciRRAXbFfVLRmbMgOrKptLThupn6TkTLhD4J/5oIoNpzKHpY1AnwPRKDnmbr8c8FZBguZd5BRAJ84wh0ZgTaDQHoZBFhUffwlLktPpztjeTM4iq1D5FDiwjRFhh5EqwWv+7EW9PcoNUquYFapO2NIAAS9Ml5JbAJiIBlwEVYBUTCdtdF5BWW6lcwHUMgUj/I8F5aXomysnK9R1jNll1yA6VkgPQO+R6NQS+T9TD7fjsKK4gEeZxAC/wJ8Ft2IATalABoiS5SCmVRRGJGLgZNcsHrk92QlJOvL/zRMVQS1cebZqT+4TfQd5gdTlxJ0OcHaoF+NIAAmLpD0OFodCKeH+2AF8e5YfSvO/HlUj9WdWvrkWtKJlOZspnqyZY+9TPs6v0zfDf8Zjjf8FlaocKekzFQC0pepAfIT39Pg/+u4RrDPQ2fhuOGT8NxUZYhyRrkFFXAalcEXhjrjP+dvwWyqPf+MZxYwye9ayTwtxy+gT7DbLHCIxwiuY3qVWKQW2CMamgHP8QRaE8ItDEBkJDRIrukEp8v9sMTQ23w/AhHnI5OhCxqIdU8qWtP+D3UFlJPVGhFvDTBFbOtg1hyugeE4ENXNPJAAwiAhJwgivh86RZ8MMcdibklkIh4KbOmBIiiCLDYivv6dEX4kjdNze2j48p+/xqamfscvIIBY71RoaYZ9oMXs/NBgvj+NTXd3SD4DZ+Gc2gWn5ZfgsGzNuG9Gc7oM9web8/0BsXcUU6m2ja6lyxr2IRjU9g19LSwheOeSEi0CiC1WB3X13Zv/htHoKMi0CYEQLNH+oOjz7xSFT5fsoXNTPecvo13Z7nj6dFOCI9O0edzqea/3QFQJiM2uYQucT2KVye5KkbHlhAuDSQAtSjglcmesN99DjpJA4qaJUEs65SIavKfp3aTCkullXH00l0cuZiAwlIVSMKyWAcmuCVKyYf8YhXCLiTgyIU4xKbkMeN9XkkZnPZdxLNjHJGck4+0ggpo2UqAiF6ESiPixJV77LpbybnMEKu0AaysZoVGZvETmQUVOBmdqBT0qUYizE4kCThy8S5KytV4Y4oz3prtAVLlM///2t4Ptvog0lJiNlZ4HEJXY2vY7Tyn2ESq2RLoHL5xBDoDAm1DACT8JRkarRYTV+9CNyMb+B+NZoIpPb8ME1btRX8LB2wKvQq1SEngqCB4x/ijpAyh5LJ69W4eepo5wv/QzZbJUNoAAqDAOVGU8MZUF7wzxQsJWYVVeZSEarNx8pO/lpCHv8/fjH4WtnjGgozxfkjKJnuMEmVbVKHGL5tO4tVJ7ugzzIYlwXt+ggtORCdi8u978PwIZ3Qbuh6DJ7jhzQkuOE8J+2QJJ6+n4O1ZG9Hb3Aa9zGml54BFDsdQXqECuf3eTs7GW9M9EHLpDt6d7I2/zfCGQPEgf/krVGbyMjSSgDcmu+GtWZ71I4Bq96FXqbRcA/OfAtDb3A4nrtFkg9yMaZXQcRwOqnWJf+UINAqBNiEAmmVS1S63kKvoZ2YDt4NXIMgySBiJsg6VKi2+cTyC7saWWOJ8COVageKCG9XB1r6IVjWUnE6l0uCr5VvxxRJ/iC2hy2oAATCPH1nGgcg4DBjmiCFTHeARdB4ZReoqwUfC725GMQZPdMX4NfuQnleB3IIKzNoQjM+XbEa5SmA680VOh9HNyAobfMORVViMnPwy3E4pgFatQWFZOZyCItF/jBPu5RUiq1AFrVaNqDsZeGWcE+ZaBiMtvxI5RWU4EBWL/qPsYLXrHHPVvJaQwXIpvTzGAT9vDkdceiF04sMV1thEgPreBAJgQl7SIr9cA9OftuOt6V64k1ZYJfzZM1r7xeHP4wi0AQKtRgBKIJfeyCgL2BYeg54m1vjW8QhESantqrj3kWpIQoWoxRKHI+j6tS2+sQmBhlQJTEXRBig14JFsFslUK4Br4Dl0M7fB3fR8ReUl/XU+24Ab//XUBhCAwW2S1G4nrqfjq+93oK+ZPZ4dYQ/3/ZegEQRWYGXN1vN4bbQdskoM+ZYEVnuhq4ktYpJyEZ9ahD4j7PGj1zHFPRcSUyOJzB6gqJB8QqPx3DhXVKgEppah+A0ilIHj3VCi1qudQKs6GSu8jmHIjM2o1Iq4npCBJ4Y6YKZlMLNPMBxroP3mIAAyXjCLgU5CUkYRBox2xgezXVhdaSXepGNMNv76SvD/cwQaikCrEYAh2Ij0uMlZRXhtigc+X+SNbIOwqdZymkVT2ocKUcDPHkfQy9QGv28/B51YyfTU1U5t11/TcovwzEg7eO2/yPIaaZvT06QBBGAAiXAl1ZtW1uLUzXv4atk2dDGxhf3eC6yo/effbcOgqW6YtDYIE9YEYcLaYAz/ZRe6GNvjxr0sOOyKwBPGGxB2PtZwywc+iWi2hF7Dc+NcFCMwIwjgb3M9scgpjKmCqi7QaREadRdPj7RDaaUG1xOy0dVoA4LO3mW6/6rzavrSxBVA9VsSER08fxd9LBzxo8cJaEWBF5qvDhD//lgj0IoEQPpVHcpKy/GP+V54eZwn0gqKmUBXiqnfnx0bDMR0XBAEbD9+B8+NcsAqvwio1JoOMyCkCpqyZj8mrgmB4sLYjH7njSEApmJT6uqSzptUNn+ftxFDprkz75gvl2/Hm1NcMW7VATZrn7A6GJNWBWLcuv1ITS+GZcAFdDNaj5PRaTWOwaMI4L05W7Da//gDgWa0motPzcOAMY6MAK4RAZhY40Jc+kPeQw89rBkJgNyQZUmE465IPGliC7fAc3U//6EG8QMcgY6JQKsRAPlgC1oRv3odZ37YO0/FKukIasGNlvuGfcuRaHQ13YDJq/agsJyqPZGfee2uf7XculV+IlfLk1eTmEtobnFZnf1tUKMaQAC0+mLqM0mJiqV2CRKp1ET84nMKQ2Z5su///W4rvljuy2wwzCOIFWFX0nPQOHjtj8KTxjbYFX6DCU3mSqpT0ioQuZMRmVwsnx/rinK1lhVpIZvOu3M346ulm1n9ZJEVcFFUQM57zuPpEfYoUalx7W46uhlb42JcJjmK1g5FMxKA4UGVGgGTV+/HK+NtcPluBkRm9L4/KTGcxz85Ao8TAq1GAKRbDT5/l1Vs+sMvAjqhok7XPYPwp08KFtuwLQJPmtpgxK9EAmQ3aN+6WiKoojIVXpviitDz8XX2t0EvVoMIQHGvTMgshkarCH4ScFmFlXhjkiv+9Y0v84ffcfI2epnYYO/ZO8rKjAVeiajQkKuoCnmlGgwYTb73XriXWcDcdHWyBoJIhExEIcDnwEX0MrPF2atJkHQCMzL/5nMSTw23xbEryaDKbrRTwNhnS7dj0vqDjHzICNyWBEB2geyyCgyZ5IkP521CiVrN2tmgMeEncwQ6GAItSgAkn5mMprq56QUYNMUNZiu2sZqtzO+8HjN4AwlQNKsoaeGwOxI9zayZbpqEq05viDSc157wpz7SrHi6TShG/ryb+dw3W/saQgCyhJS8Erw+xhEjfgvCYrcjWOh2AgMnuWPgRGdcScgC5cwRBAkzrEPw9HAbzHE4hqXux7DI/Ri+tT6gRDRLEg5FpeBZc1sMmeKMpa7hWOx2HFM3hOBSYh6z21yKz8FTwx3wxVJfLHU/joT0XJSUqTHs5914YaQVFrkdw0KPY/ji+wC8PMEJt5LzmPtvNFsB2OF8XGbdOnidDipJgzcmeWDIrI3MtkBBbU3ZWHCaKOLUjRT0HeaIxQ4HIVK8BIsgphe5jlVJUx7Or+UItBECLU4AFH1ZKYiYsS4E/S1sQLrepmykzjhwPhavTHDCv5dsRUxKPnSishpobyRgaI/v4St4dqQ97mXlN6XrD17bAAIgN1CaxQdfuIcxf+zA58sC8PmybfjdPwJxqffbRGSlFUXsPH0HJj/44z9Lt8J85S6cuJbKZvgkZGn2fjEhA/Mcw/AfcnNd7oefN55Ack4JS7UgSjL8j8bg6+Xb8Ml3AbiRlAVaJZRotHA/cB1fLvPF58v8sdL7KGJTFe8o6ASk5hbjR9cjSM4j9886hLkMaGUNrPzPwnLHWUayZGNpykbKHlJTUv+pbX2H2yH8yj0lGE2firwp9+fXcgTaIwItTAAUVKOBV2g0ulKw1+EYyKLQJBwoIpWyWcYk5ePtKc54ZYwDwq+mVNkKSOi2l81AACk5RehtZgO7HRHN17QGEIAhwpcEsZINlIK6tNDJ6gdSKNAsmILGlAysyqSXVDs6ypnD1EGku2cJnFjBFdLvs5rNpOqRtcq9mW2BVEKKy69E/6e6vBJlm9AyAiF1ID1DlKmYuxJ4xZ5DgpbttY8hTcaJrAyZPslZgK5vykbVxGRQWySUqzX49FsfDJrogqySCiVNRlNuzq/lCLRTBFqEANhynAy4soj45Dy8PM4Zk9YGo0KlARkBm7Sx1bhiHL6TkofB07zx9HBbHL10T586gn5TioCT22Nbb0QCNCse+gPNurejolKjF5pNbFsDCICC6KgdJOApkQPJcIKGBOkDhnSDzk7/yQhMb5JVUjaw0jdMRcNUJtQF/X3p/8p3/b0VKc3EKl3F2gAiGKrISP9I7Ch90nPoWvY8/Wdt46Y81tAnep5yfW3X1Plb1fMJFwlX43LQf5QzFjmSKojiHeq8Az+BI9DhEGgRAqA/ZJp1aiUdJqzeh5cnuOBGUjZbDdSZs6UBENKSPT4tHx/O9MIzFvbYH5nA/NkVj5RmEAoNaEutp+ok7D4Th27Gloi8k8U8aB4QvLVe/IgfG0AAj7gDP/wIBMidVdKp8IfPSfQwt8eBqESWMO4Rp/PDHIEOi0DLEIAsQasDAk9fR6/h9vAMimLphplgbkZjGi39iWgyi8owfX0g+o10gnfIBZZ0TJlNNk0t0FyjSmqrzNwCvD7JGYvdDjOPJk4AzYVu89+HGX4lgdUb+OdCH3yyeDsKyyqa/0H8jhyBNkaghQhARlGpCm/P3IhPF22GSqtknGzJvqoELb5zO4oextb4xuYASlUalmOG2QyakXQa0wd6PKUdXugYhgGjHVBUTqqwJpITXwE0ZigafM2Ry3fR09gea/xOQSKbCUtH0sSxa3Ar+AUcgZZBoEUIgDxF1vmfRXejtbgQnwOZFd5omQ4Y7kpGRyKBHzxP4P8ZbcC0dftYOgLIGpbK2HBeW3wqKjEJp6LvoZ+FPbaEXmGGxSa1hRNAk+Cr78WiJOIb+xC8ONIFsVnFSuGcptqx6vtwfh5HoIURaDYCYEKOFXXX4cyNFPQwtcEav9PMgEa/tbQfNUt4RgVORAE+oVfw+iQ3fPnjNsRTIjZK0aw3VrZFUlHmX8KeL+OrZf74YvFWaA2uhY01YHICaN4/DTYOUpVRm+VN0slIyyvGz94n0dXUCv/9zhdl5ZUspUnzPpzfjSPQNgg0LwHIAioq1PhsoT8+W7QNKg256rWu+wQ9j7w47uWUwvT7ADw71hV+R69BENV6ImjGfDyNGLNdZBcxdcKRyDv6ojjk09gIjDgBNAL9Wi5hheaVPEkUwbZm3t4AACAASURBVJxVWIqVG8Px7BhnDBjjjPm2B/GEqRW8Qi61+jtdS6v5TxyBJiHQjASgpAP2PXId3c2tcPRyEgvxp9YxodwYIdeIrtGz2GxfFlFSVoFhvwagm/EG5oOvuPO1rf62qFyLF8a64Bvb/RCZ7Cc3yEa4xnICaMTbUfsl9O5UqjUIPHkb78zwRE9zO3zndBApuUXQSiLGr96Lt2e4I7eksvYb8V85Ah0EgWYjAPJqyS0uZpkljZdvhZZV/WrEzLYZgaN4hMIKDUauDGCBaJY7TkMQySCtqIToD761N/Jc+snrCAZO9kJuQQm0zCe+EasSTgDNMnSSLLHKYxRIduxSPL5Y6o8+pnb46vsARMQkVz2DSDr6bjb6mVviT//TYAFuTQw+q7o5/8IRaCMEmo0ASJiu8T+DHpQI7FaaUu9VboRga0YgSI8rS2qUlqswY90edDe1xVr/86ikCmNUCLwNonsIpwu3M9DDeD12n9QnXWtMnzkBNAa1h66RRDUoSd4C+0PobmaLt2d4IPhMLMs7RcntDBuNG2VPnWMZiP6jHZCYVca8zAy/80+OQEdEoMkEwIyvOiC/tAIDx7lgzK872QybZt9tMcOuPggsfQEFpelkqLVaeIRcRh9zS0xZG4LcUpUSMcxsBq23EqCkdhUqLT5fugPmP+9g6RC4DaD6qLXUd7INsdBnJdk02as0WqzadhoDRrvg5XGOsNx2Gvkl5fpi9TJ7jw2tIbWiKGtx9W4unrawxXK3cE4ABnD4Z4dFoMkEQH72OlGE3+HLrAh61O2MdgkGkQHV5g04eRtPmVviH994Iim3hOUVIqNxa21KDn0t7HZfQV9za5YQrVEeUnwF0KAho8UevatsMiBI2HHiNv422wc9zewwfd0e3MkoZsGLNGmhSc1fNzrCMqbKMubYBeGFUc7IKebBYX/Fif+/YyHQDARAuea1MPtpN8av2gNBaFu1z6PgZysVSkomCwg4cQd9h9ng7/O9EZ9d0jgj7KMeVMdxpkrQiYhNy0Wf4fZY63u2cS6ynADqQPovP1N6B1GDq4m5GLlyB3NTtlixDaeiU1lNZFqZkR1LIYC/XKt3ZKDfaSJx/V4mnrZwwsaDlx4+kR/hCHQgBJpMAIIsIyGrCM8Ms8f5mBRW0Ltd9t/gHcT+iEUcjEzES2Od8MHcjUjPL72f4KyFAwUMAoZSWIz8fQ/+d7YPiktVzEW1QXmSOAE88jUjsicsSW3DVqiygNS8UiywP4A+JrZ4c/ImeBy4hjKyBdFsX7/Td7qmJoUgm0BQGjt9FtMZa4Nh8dtuSJIMyoraqFXcI3vAf+AItA4CTSYA8ob42TscnyzyBZXVa5AQa50+PvAU5W+VqlKJuJ2ai38u2ISPF2zB3exCVvWq1ezCOgkh5+LRw9gK4dcp374KLIvqA62t5T+cAB4JDss9SllGqe5xeSlc90dj0BR39LNwxOpt55FTXA6dRHEhD6t6HnnTaj8QCVyOz8Izw6wQn16kTw9R7QT+lSPQQRBoMgFk5Jcyl0b7vRcByv3eGJ/21gSLGX2VNMiUnye7oBLvzd2Iv011xrXEnBr1vy3RPFoJlJSpmL/5TKtQiIKSN7/ez+IE8Eio2CxeFnH2Zhrem+2BHl9bY+LaPbiVnM9UgAKrY0xxK/e9fB55sxp+oHxAWq2Ar3/cjR8c94NWwY2K5ajh3vwQR6A1EWgwASgqDEr3rETcegadQ3djWyRlFbVmu5vlWfRHS/24GpeBF8Y44Y0pLoi+l8dyF4kt7cKqA7Q6ESvcD6PvGEfkFasalrOIEwB7B1gBGX1NAZrRk6E2v6QSf24+gf4jnfDRgo04fDEeWqFxwr6mF41qWpDjgNO+83h5vAdyaUXRakvHmlrEj3EEGodAgwlA8aSgCk8CKgQJ/14UgK9/2gmNoG1cC9rwKvqjJddAUltR7MJb0z3x6kQvXLiVBUlqPoFRUxdJp0zVty7HZ+CZEfZwC7zwYHGWmi6qfowTAEOD6e3Jw0vWobJShb1n7+KtmRvRy9wWa7eeRKmaqp+JzMZSHb6mfGeBhJKMG0l56GVuCf8jN1jxo6bck1/LEWgLBJpAAGqcupGMLkYbsPf0rQ45A1IIQO/2xwyFZRj1y048O9oR/mE3FJ28Polbcw8OraQkSYIgqfGv+T74YqlfwwzonZkAqnnrMEOvKOLk1QR8sXQLupnYwnjZZkTEpLFaEQZ1EH0218YMwjoZgiDA5KcA/HP+JmhEWhUolc+a6zn8PhyBlkag4QSgrw1LCbNmWYXgrekbkVtcyrwnWrqxrXH/4koNxv6+Ez1NLLHK7xRTHbREnIBBlUZqC6+gi+hn4YArcen172InJgCGHQlbWYuEjAIsdQlHz2EUxeuJfecTWWF3RR3UfEK/xoHRydh44Cq6m1ojKjaTrQJohcw3jkBHQaDBBGCY/aQWlGHACBv86H6YFQhnUZYdpde1tJPUBRWVKoxftQtdjS3x25aTEFogTsxAAPSZXaTCUyPs8fuWM7W07C8/dXICKKjU4s8tp/DiWHs8N9oZG7aeQXZRKSt0z1w/WUBXCwtjnQ45ReV4ZZwj5tiGMQIQ2rsTxF9eI/7fzo1AwwmAgqkkHTaFXkYPEytExaZAljSPzQqACqaTT3eFWsQ3jgfQw9QOKz0PMxdXWgkYBHdjXQirv26Ge5EXyVy7MLwz25MVsaEcRVTvuNatkxAA5d9hen59umaNIGPPqVv4aI4nupvbYcKafbibWcryOlHdB2UCrqQhIXxbcqP7i7KEedZBeH2qF3IKSyC0tPNAS3aI37vTIdBgAlBptaDdfMVW/HuBHypFkXlEPI5OEFpBi80HrqDvcAeMWRWElPxi1lf6w28OAqh622QR+yMS0N3YGkev3GP3rtOdtpMQgEApHKigjyTh8t1MmK3wR3dTOwz9fhvOXI1nBYBIFdScOv6qcanjC/ELkc75O5nobrQeO0/eRPUEcnVczn/mCLQ5Ag0mgISMQtDee7grXPZFshJ5SuK3xgXVtDkCtTRAFkWQy9/+s3fwtLkNPpzjjcRMqjCmpAyo5dIG/UTG6IJyNd6Z5oYJa4KYUKlz9tpJCIBWAJl5xVjgeBR9TK3w8mR3eO+PRIVG8eyhVZlAq4NGBnU1aKD+ejKLONahrEKLf87zwWSrEAgd0Bvur93i/+88CNSPAGRAQ39kkswKq9jtiMCzo71wL7OgUyBFwiUwIg59Lezw9kwvxBMJiIKy8mFFwpuoamCZU7X42fsMnhvjgKTMwrojqh9DAqA8TUSubBcFFFWqsenAFbw8yR3PWNjiT/8zyCtU0na0hxePSNqw/+F9GH0tbJFZxIvFtIex4W2oHwL1IwByWaR6u5KIf3+7ke2fL9jM3Ozq95iOfRZT+YgahF5IxMAJbnhvpjtiUnJA6gnmZthEXTO7v05AdGIquprYwHl/NCOXWlF7DAlASbamYV48IZFxeH+mN7oZr8eENXtx7V42c5OVRAFSO1lsGoQ/fZ69noTepuvhE3a51mHjP3IE2hMC9SQAZVYWm56Dp0c7sN1+x8VOo+80GCHJOJuQmo9/LwnAqxNcsP/cbWYEJDUEyzHEkoo1fDVABl8iEkGQYLR8Oz7/zg/llZWsVjATMjWlJ6uDAJT0xUp5TMMLx1pGCc/Izl3TPQ0ntsJndeGpfAcEUcSlhGxM+DMYvYbZ4eP57jganaJ3xSU1D/WnfaVdMPRDJUp4f+5mzLY9yAzShj61ApT8ERyBRiNQTwJQjF0+h6+izwgntt9NKwXl0ulsG6mDMktUMPrOF31MbeEaHMUyQlZPSdAUTLYcvY5uJtaIScpj6gWZvK5qyE9P8lsjajFwggscAyOVhJbVhDpdU1CqQmZBSVVzSCiJghZJOaXQaDVVx9vii0FwshWULCCnpBJ/bDyOPsPtMGiSM5yDLqNc27y2lpbsp04n4EePk3h+vAtKVSJbHRNh8Y0j0J4RqBcB0GtMs1TTH/zx/ixPtqvU6k6jAqo+gJT+VyerkFumhsn325jnjnPgRWgliZUMbKp2IrOgEAMneeJHj6PQMPuCMvOt3gb2vQ4CID36TLsD+GhRQNWllPvo6NUU9DCzZonS6AcSxG2x0XOpjSqNFu77ozBomgueGuGIBfahSMslf35KjqetmfzaosF1PJOwDTlzi61c9p6+rdgxaiLuOu7Df+YItCYC9SMAHZBbWoLB07zwm08422VyvWvFSlqtCUqtz6rS+8soqtRi0qpd6G5qCasd56AVNZCp1jBTUzROsJKhfeqGfXh9ohOKVOTpQmUMa6CVOgiguFKLl0c7YOaGwKru6CDjp43hGDzBCTmF5ex4axKADkSSShJBcu0kj6qpawPxhPF6jPx1D24m57AYDFpl0eRZiaptHI5VnW6lLzTm5RqB2YhWbjnNUlHTMb5xBNozAvUiAIquOXolAT2MrHH8RjLbSfi399z/LQ086f5VggSHvZfQZ5gt5tqGIa9YzaJRG5seWCdJOHQpkZWL3HrkKnQS+bjX0JM6CKCoXIunLJyx+3hM1cXUpoVOx/DPBVvQsqnuqh75wBfy5aeSmKXlAtb4nsZzYzzw9uyNCAiPgbqNVVIPNLQR/yGiFiUJY/8IxPszXaryEDXiVvwSjkCrIVBPAgBW+RxHbzM7ZBaWsp10t519hkM+6lTZS5YE+B25jt4mVvj3Ih+k5ZdT9FKjBpFmyGpRxJBpnhi1ai8knVYpYv7Xu9VBALtO3kY3U2scjIirurKkUmSz/1G/7gStBlp7U6u12HPqDj76ZhP6mtlj+vo9yC4ohSxqlfTienVUa65KmgsDCtwjArAJOIMBo1xYrExn//toLmz5fVoOgXoRAP1BfrlyG6asC2FRmbR859t9BJg+Wydiy+EY9DW1wb++3Yy0vCJWHIcIokYj7v3LH/hGQoMKlazffgIvjHFDUnYe8wZ64CT6T00EwFQOSllD64DzGDjRGUUVKuapRKqpjJIKPDPcETtO3UJ5ZQW2H7uGRS7HcepKHERWDrH5jPo026fXRIni1eJGQi7MVmxHN1Mr/HeZHw5fvQdy6XxcDKXMC0wSEJOUjd7mjth79lannyA99M7yA+0OgXoRQEpOGZ4b5YKfXSnxmxL80u560oYNYikBJAGirMX+s7F4fowj/rnAD0k5+tQRNepwam4wczmVZdxMLUGf4ZZwD4qqud7sowiApScAVnoeZzYbEsAsOZqshmvQBXQ3dkDgmRhEXE/DDOtDGDDGAQ57L7PaBHWmn6i5yTUepSLrkqxBWkEZvnM5xoqwD57oysozqjRUA1mrd+usSb9V4y3b9UF6B8h2UVSuwvOjnTDP+sBjQ27tGnjeuCYhUDsB6NU8VxJz0N1oAy7GpymZP3UCuQWxWWiTnv64XMxIUXFZJF3wjcRM/GP+Jgya5IHDF++ycoFMu6FXcdTWbWU1oYOoFWHx+y78Y74PE87k50lqt6qtRgJQipbTecudQjFouhcEUQtZ0CAxuxBvTnPFK2PdkFNcylYFlLbglYnucN1HMR1EFFV3b8AXJdZAeR30LqvMIKqB94EbeH2sC/qa22KN32nkFBSDakjTuWyl0wRjeQMa2CqnsnGjOAVJxnz7UHy6aAtbVbXKw/lDOAKNRKBWAtDptCwXzlr/s+hhYom7KblMV0tRwbQL1fzOG/n8x+4yEmw0E0zOr8CnCzejt4U9jkQlKLr8BqQKJgOz7+EY5lZ44Y4+13x1b6CaCIDCu/QrNIedZ/CkmR2mrA7Ezz7n8PGCTRi9KhBvTveBQCkXdDIrYjJwojvIjVUim0AjCEB5HvWZ0jiI0AoiDkcl4t05m9DNZAPG/7kLV5LyWcwIPbMzbL9uPMZWASnZnSNVSmcY08e1j7USAPn+k6fPLNuj+HDWZiRklSKnRMV2tahutKHzcQWT+kWqD4UEBKTnl+PTb33w6nhXxKTmN0gnTII1Pb8Ez460wTcORwBJZLP2KuzqIID8Mg3WbD2NsX/swopNx3EvPQ/nbiTDOTASkqhj40pVrJpKAGzmL4sQRAnRiTmYuX4fepjZ4ZP57jgVnQSNVtHzyyKtGBvBMFUd7jhfou/loOtQG0TezOg4jeYt7ZQI1EoApDsuLlfjvXle6DJ0A3qY22GAuS3bR/2xDys8jmPrkeu4l1GMgtJKNgMkox7NXulaxVNICTYiF0Tm300S4zHeSMZRsgX2KYvIKijFp4u24a0prohOzGB+/YQDC92tBQeyBVCu+QV2+zF4xkZk5ZXggUL1dRAAWKF0qjssgb4zOwBTuVD6buW4VpDx+kRnuARF4ZERx49oI0vLQCkwoENucRl+2XgSvYfb4MUJTnDeE4VyQSmPSP8q38hxoHOsAO5l5aOHkQ3cgy8w3GmsOwn3PeJt4YfbKwK1EgDNZJOyi9HTaD3WbjmJ4LM38bvPObb/e4kP3p27EU8YW+FJI3sMmuqJCWsOYKXXYUTeScX1e1lKrnamuybhT2oHEZ2pYhKtnnSSBun5pfhiuS9enuCKHadvQBYrFb1+LW8FCQwizbMxqehmtA57zsQxj5qqSx5BAFW/1/GFSJrcTV+c6A7HfZeYDYAFndVxneFnWumUqVTwPnAJb8zYiL7DbLHY7iDS8sohy22bZsLQxrb6pIpynyzZitF/7NYTL60KH++JT1thzZ/bNARqJwBZxOkbqehibIcT1+6xIB4lcZlSpUmlFRCfkovriRmw3xmBFd6n8PE8b/xtpheesbDGO7M24sN5m7HULRzrd5zD/og7SEgvRGZhhV5XrSQlM+it2Yqhmh5bOU4zWMXtsWldbf2rSYATiZInTmmFGt+7HkJvU1sWjFVaqWKzQsVFtAbhQCsAMqaqNfhqmS+++H4byivVVTp+wqYqF1DQBTarp3spxMFcUpRVxiNWXNQuKn8Zl56P/JIKfeqCh917KWkcRfAqY0GkJCO3pBJeB67gvflb8NJoO/zoEY7EzCK28qNVC+2deaP+T19zEP/9zg8qgVRgioNAZ8aE9719IlArAVClpV82H8drE92QVVjOZvCKgHm4MyQYyOedinOQO+TNpFycvJ4Gm+0RGPnLbvxrWQC6GK9HFxNLPGdhhaHfBWDsLzuw71QcTlyKR0F5BQRSH0kkbMhTRGZ6alJdkCAkAdRRN2o7za4lSYLjnkj0MrbE19/5IrdUBZ1AKTUe7pkicJXrdobfQDdTG5y/mV4jASxxDMOp6GRWqY353bPnkZ5fB00TSxQS7NRuSlGhUQvw2n8Rr45zQv+Rdvh14wkkZ5Nq6r7x+eGedL4j5E7ruPsS85y7m57FsKthiDsfMLzH7Q6BWgmAytv9vPkkPp7vw1I/CxAV988aZpWKkKNcL4Lep5xSSCuzH4oI0qhVuJOcjYuxGfjZ+yTmOYbj9cnu6GFqja5mNnh1sjc+mr8Fc21D4HvoMg5fTkalIEAt0T3EDm1ANAhz+pQkLXaevI0XR7ngqyVbkZhTVqN6oPo1xRUaDJnhjYUOYYoNgXn6KNlAXx7riP9rZIUnjNbjrRke+HieK2wCInDpThqr30CE2pSNVEUaWcC+87H4ZPEWdDGxw/CfA3AjMZsFcon62a0yRlzMEdY0478Sn4Fuxja4k5KrkH9jXKyaMnD8Wo5APRColQDUgoAvvtsGKv6iZYE9giKIa5iNk6KAVDjsJ6a/VmaFdIDN4lnmSWUmT6oR6EQUlVcio7Ach6ISscb3CGbahuLlMU54ZqwLy7I5aII73p3hgp83nYRL4AXkFVUgv1xgKwXFyEmrBVpx0LOVpiltoOcoaqp6YNDip1QX5ob2XUvKx7uzvTBkijvCryRB1glspli9MYbryLd8sUMInh/nipJKyg2krJBofCjh2zPf78Dzq4/imZVh6DF7K7qa2uFpc2t8uWwrDkbGQSsoOXgUjGqZretdSA2rL1oBpuaVYfrqfehtYo9PvvVB2IVEVGo0DHfDmDMdHbl41vBeVO9PZ/lOK+Ho+Cx0Md6APWfjmfGesOIbR6C9IVArAZRUaPDsKAes9DquGLNkqXnV8SQwmPCmnDqUXlpEuVpEXokKfocuw27fZZj8sANvzNiMZ0Y4oJ+FEwaMcsCkDUH42fsoAs/HIj6rCLkllD5YUFRGeh93UkWR90l73Yi4EjKL8P5MD/Qb4YSgiLhHGk9pFn7qejKeMnfAltDLegLQQS2IeHm0I55ddwRvHsrF62GZGHwgC4P3JeGFDeHoOtoT3YZuwPg/diI+tYgF8ZEqykAsf8WGkRPlNxIFaNQiAo7fwmtTPBgp2+2ORKGafP21EOW2SCX319a23/9TjExGfileGueE5S6hzDWYk2P7Ha/O3LJaCaC4XIunR7hi54nriiGLhLXera85QGPmRTbr1NeBZWSgF1ASuSuSsFEKs0fHZ2D3yVtY6hyKzxZuwZvTvfGkkQ26G1nh9YnuLE/Rt46HcS4mGdF301Ghad+55EnYSpIGCZnF+HCWO/oNs0dgxJ0aYaUEcVRv4O9zPWDy43ZGdDThNhDAgLXhGHIgF4MOZuCNgxmMBAaFZeO1A8l4wfIkupg64Y0pzgg6dVvR5z9ipk6HSdcfFZuF4b8G4H9MrDDxz11Iyy9jBKuTBCXddRPtCjV28jE6SN5fZDf5YtkOLHI+qqRNr8nQ8xj1mXelYyJQKwGk5Jah33Bb7Ay/n1K4rbtJM2eaxRZWaHDxZjIORcVj6vogDP9tD54fbYeuRtYsCOf9+T748nt/rPYJR+jFBETFZkBgHioiy9ooSiIElnee7BZ0T4pfUMintfuYmVeG0b/txlPD7bE5LBqCqKlqC2sbCwLTwnZHBAaMsMede3nMv99AAM+uOYYhB4kAMjH4YNZD+8CABPSc7sPcSe13n2P91olKoRmK3iWvFZ2kQ1ZhKZY4haGnqS0+mL0JvkeuQaVRtzYcHf55FPRG9rLPl+3GXLuDShBfO16NdnjAeQcajUCtBOB/+DqeMLZG8JkbjX5Ac19IM2eRrRqUuALys2cRy7KA1Lxi3E4rgG/YZSxxPophvwTiKXNb9DB1RC8zG3wwZzP+s8gXdnsuwjf0EjLyS1AhUB538sQhm4Hi7tjcba7rfuSOqdZoscL7OHqZ2WKR82GUVKqrDL4skEiScS+3FL2H22PD9ouMIOpLAINDMjE4OAW9pm9Gj6HOcA86V0UwlLW6uFwF2x1n8MokR/QcZovffU4hv7QCoqxhbair/fz3BxGg8pC0CjBathUfzN2IMpWGi/8HIeL/aycI1EoADjsi8Pw4F2QVKdWj2kWb9YZKxXxA1bIMxmeavSs+9yLF4uokULKzrKJKJGUVwnHXeazyO4WP5rji1bH26D3MDv1HueOlid6YviEElttP4UJMKvKKNSjTCPeNyHoXVDJkkwXEYMQlIzPpdcnK0FRLAxEPkZogiPhzy3F0MbbFhD93oYQEB6XjoLrAEiBIGoxfvRcfz9sCtSBBIwh4abQD6loBsFUB2QaCk9Fn+iYMGG2HGyl5oDgOytvz8dzN6GVmj5nrg3ErpRBKKmdaESlRw+1i3DtQI2g1SZOS1VtPoY+ZLTKLKO6lA3WAN7XTIFArAdjtjMCgKR7QNrK4SXtCUUl/oEO5IKFcpei5vYIvYoXnMbw70w0vj3dHLzM7PD3MFh/M98b3HsewevspxKTkIykjlwlbHWXWZGojRWXEPJFIfdKMgU8aQWLVsnqY2mDs73tQUkkrHMMKRYf9Z++g61BbnLxBeXY0eGG0ff0I4GAW3jiYhdeCk9F1jAven+YGi5/2oreJHT5d4IOwy6mdPoCrud5XVgNClhB09g76mNsip6CyyZOE5mobvw9HoDoCdRLA4Kmej0X6BqbjZ66stD6gACvFhZT+WMnQnJpXhKDIO9h0KBpDl/nhH9/64SlTW3QxtkdPI0sY/bwbE9cGwzv0Ki7cSUZCVgG0ehfX5iQACuQSRQGeB6/huZG2GP7TdqQVqCASCUgScgtK8OoEF8yxCWHlKCkSt14rgINZGHIgC4P2JKLftM140mg9Bo63gUfIJagEKsCuAeVr41vTEaBVIr1fBy8moM8wO04ATYeU36GFEHgkAZCr4G8+xzFoqhdzAW2h57fabUm2sWV4VdSqcoB5vuhjCJRgAiVfPamTbqXkIiI2G+u2Hse4NXvwyWI/dB1qzSI8+490wn+Wb8HE33di1/GbCLsQj8JyKnRCKwIKn1VWCeQSSH71pOYhtRT9xATEI1IjUygVc9OURZy9nYnXJjjj/RneuHgng0VJU+DVco+j6D/aFkmZxXhpTM0E8HqoYhAedCAbg9j3DDy/7hT+7whH9De3wg/ux5GcV6pEqerjNrieonleRxo/GvODF++ij5kNK4pDx/jGEWhvCNRKAKN/C8CQqR4sxUN7a3hrtIfZFMjorE9RUV6pRUJaPiLjMvHLxqNY6nYMr0x0Q59h9uhmbIuBU73xzpyNWOx0AJ4hUTgSFY9KtYbNsJmBWVK8eygIDqg9Qpd+peCw60l5eH2yC/qPdMWxa0msfu6F2Az0NLNhdYgpErimFcCQkCzmFjo4NAPPu0Sh1/iN6GpsCaMftuJyXBrzIhJ1VMCeC6bmfpcYAQAIuxiHHsY2iLiZzIPkmhtkfr9mQaBWAvjH/M34aO5GJZClWR7XsW5S3eBLQWqSjgKhyG1UMY5SMfi8sgpkFVbiwIWbWO9/GrM3hODFsW54Yawbepna4aVxrvhssS9WbzsHj/1XkJ1fjIKS8jrtKizdMsukKuNmYg4GT3XHs6McEX41AVqtFp8tDoDR99vw/MiabQCvh+bg9T330HveVjz55Vr8Y6EPjkTGQ6XRMB91KmBOdpH2HCzXsd6W+601EMDxqwno8rUt/A5f4our+/Dwb+0IgYcIgF5e2imQZcgUV3y51Je5tLWjNrfrgMSr6AAAIABJREFUptBqoVIjIr+oDNuO3oDz/ij8d/EmvDfDEz1M7NBruD2eGeGMaRsOYpnLYYRGxeNOej7yWJlGSoBHldQpMlrxaFJiFETcS8/H50u2oP8oRxyIiIXrgSh0MyJ11Ho8t/o43gjNxZsH01kMwBuBKej3UyCeMLbBi+McYLXtPKvrQEn1+NbyCCjuxMDFm6noarQBLrvPdZJKCC2PLX9C8yJQKwG8PtkDc6m4NQklvtULASVPD+XeoVoAlMhOywKvNKKIiBsJCIq8hW8dDuKL5f4YPN0bXYxs0O1rOwya6Ilxf+7FEvujOBOTgqtxqajQalhhdVIFUWK9kopKzLffz+IaFroexksjndDl67V4du0xDDpEkb8peM42El1GOjM7xVzLYCTlFLFrKdagcTV/69VtflI1BBQC0OF2Yjb6DLNlK0OuaKsGEP/abhColQBem+qNX73DOQE0YLiUFZQhFb/iD86MwEx1pNQLJvUOzfQLyypwJS4ToRcSMcc6CGNX7cUzFvZMb9zV1Ap/m+uDTxf7Yv3209h9Ng7X4jOh0ohY5h6Obl+txRNfWzICeGbtCbyy+Tr6TPJGl/+uwogf/XD+ViZbuVEiObI/KoZosj3wraURINsRvQfp2UUYMNYFq/3Psv+39HP5/TkCDUWgVgJ4fbInVvseZ9l/Gnpjfn79ESBbAwWakZBOyStEbFYRNoZewAqPcIz8KRjPmrmgn7kzMza/M90L/17qi1fGO6HL0HVs7z7CEj2+tsbAyc7wOx6DSm37yYRafxQenzNJ+NOWV1iGlya4Ys3WM80QLvj44MN70n4QqJUABk3xgs2u85wAWni8lFUDrQ6UwitshUDRv7IGKlGF7LJyJGQWwH73eazeegYfz9uE7maWVQTw5FfrMGrVPmTlV7AqX1SSkUiFb22DACeAtsGdP7XhCNRKAK9P9cC6bbR85TaAhkNb/ytIVLNdH49ABEBChFYEZASm1QFl6aT8MrFpOfhj82k8N9oBT361Bl2/XotuX65BT2MrfLHUF9vCY5BfXMbOJ1XE/bgD5lda/0bxMxuNgELoOuQWlePl8S5Y58dXAI0Gk1/YogjUSgCUC/7PLadZjp0WbQW/+UMIMAKgIDJZZNlBI29nY9Kavcy1tO8IW3zrEoY3p7vg+TEueHLoBvyP0VrmcdJtqBXemOKBNf5nEZddUM1tVWQZTx96ED/Q7AgYCCArvxQvjHPBev8IbgNodpT5DZsDgToIwAvLHUP5y9scSDfwHrTqKlNpsetELIZ+54/eZnZ4a5o7fvUNR1JmPs5fT2UJ7awDzqCPmRXem+OJHkYbMMf2CGZsCEaf4dZ4YaQzZlkFIeJmGvNI4mqhBg5CI083EEBCajaeHuGAtf7neC6gRmLJL2tZBB4iAMPjSPUwcKonRv2ygxVlNxznn82PAKl6WBERfa6ionIN3IIu4O3pLuhhbIuP5m2Cz7FoFJSWs/MEQcKIX3fi/Vk+KFGpQLaaOTb7sXbrGfQaaQ/vg1G4m1GA77yO46XRTugzzBkmP21D8NlbKKWqXpSuWCJXVYEngGv+4VSyxOqAq3Hp6GFqBZvtEU1PGdsS7eT37PQI1EoA78z0wGffbn4scgG155GmcpaiJOP2vRwsdzuCV8e7MKE9/s8ghJ6LQ7laYOUyyZefyjGev5mBHqZ28DxwhamIft14Aq9O8URphQpr/CLQ29we3sFXIUoq5JVUwCXkIv4xzwc9Te3w/uyNcAmMRE5xBUtZTIVh+NbMCLBgSuDsjWR0MdoAr6AoTgDNDDG/XfMgUCsBkOrh7eluoARkfGs8AgaVgPIpsyxAzElHJ7OMnpfv5mK61X50N7PBc2PcMN1yL67czQBlBiUbAFsdyJSxUwdBK2HkH3swZJob8mlFIMs4GZ2E3qYO2HvmFkRBxQz33Yfbw2nfJWhFkSWRqxBF7D1zByY/+KPPcEeWomK513HcTMpXolSZ0FJqKuiz5jW+w538SjbO0OHwxbvoYmyJsHOxPBVEJ38n2mv3H0kA1OCFDqF4Y4orTxPcxNGrTgCiTql1XFKhwvbwa/hyiQ+6m9jgzRkesAqIQGJ2AUSdBjrhvhtn9eujbqfiSRNL2O84pxSnkWWUq7QYNMkD437fAQ0VwtFK2BAQgV5m1rDZGQlJoNTXWuZmSqUwL8XnYJ5dCPqPtEYvU1tMXb0HETfTodaSSkhRR/EccY0fdBovyrJ06EIiI/WEjEKeCqLxcPIrWxCBWgnAesc5vDnZEwI3YTVpCAwCnPTumYUVcAm+gndnb0R3I1t8ssQf3qGXkVtEqZmpBCPYjJ8EiGFjAoXqFogixq/Zi4ET3JBTUAqqR8YqhskarPA4hdcmuSG7qIQJcapxYL0rCj1NN8Ay4DzUWqWYDQs4YymrRSRlFWDD1jN4e8YmdDe1xKffuGNLWLRSEY2v+gzwN/jzPgFQPQAbZBVWsLFq8I34BRyBFkagVgJwCDiHN6Z4ssInLdyOx+b2SqEZHagOgFJkXinpGJuahx+dD+KlcVR31w6jf9+BI5cTUVFBQl9fnIapYSQldXD1QC4WDyDi6p1M9DK1xnrfM/rSlLRKkCHqBETdzEAXEzscvZzA6g5IrJSkiA07I9gs9E/f49AKSqlLSg9B7YP+uYXFFdgSfgNfLNnG7ARvTXWB1Y4IJOeUQZa0SkwCC0wzxCfwuJDaXlhS2ZHqLjQyAb3NbJFTSBXB7hN6bdfy3zgCrYlArQRgs+scBk5xRqVWaM02dehnKbNyyuipJHC7nVGMJS4H8cxwRwwY64wFdvtxNTYLWqrCRXp9ShpXXdjX0HtK4kYG4BnrA/HyeFdk5JNgvi+Eyb2zsFSNwdO9MHn1LmYwJvsBKBGdJMImIBI9zG3xs8cxVGi0SonJas+UiBAkNVQaAUevxmPsmr3oN8IJT42wZwXi0wpKWUI5SVKKnfOkojUMUrVDLHBPp4Zv+A30MaeKYHwFUA0e/rUdIVArATjtiUCPYfaIuJ7SjprcvptC/vtqUcK1xAxMtgxFP1MbvDjBBRu2n0EKy8ypFFu/r2tXZtW19YoqiUXH5qKvhR1+9TrOZvzkOmrYyDhMq43FzkfwygRHpBeUQycRuVAFMhlaWYDtjnPoYeKAJY5hTNdfnXRIXVRV54CEvCjiVlIuVrqHYcBoZzw30gEL7A7gSkIWtDIluuMTAgP2NX1SJDcR+7jfduPpkQ4sIrga39Z0CT/GEWgTBGolgMuxqehh7oDdR2+0SePa+0NJp0+1hlmxGFlguvMD52JhsmInM+ySAf0nz6NIzSlms/zqQreuvjE9MhVs0e8zrEPw9ChrpOYWKG651QiAzqU96k4mnjCxwfGohAdWFUQgZPy13HGR2QQWOR1ChVoR+iSsatooLxHNZOMz87HIIQwvjnJGTzNrTPgjEKeu3YNGEKETqbiMDFHSQdS3oaZ7dbZjtDqjbK+fL9+JCav2QqDiOzydSmd7DTpEf2slgPwyFZ4a7YDd4ZwAahpNHc28JS3yKzRwC76E92a7o6uJJd6b5wvfA1eQVVQOWdY2qqKaQajTZ1xaPp6y8MDP7kdZeUoSunTcsBnOLS5T4Z3ZmzDPfj8UZ1PlDFabQCQyEWC75xK6GlthzoZgFGlUzNXUcJ/qn4Z70kqFjNOpeaVwCryEd+d4o6uJI96ftQkeIdEoriQbAQWXqXnKED2ARNqMAJYFYKHTEaWkajXCro4z/84RaEsEaiWA4nItnh7pAo/gaPbHzYQOCZ5qwqctG99qz6Y/XprhMn09CV+aUcu4lZaPX7yP4bXJXqzwx+jfdiHozG2UUnF4qvtLs3eDYbeBjSWs6VpaXSy1P4h+I2xwL5tWEjSbVH4z3JKNC8v1JmGJUxgGDLdHdrGKnUe/EVHRbJ52UdLCYe8FdDGxx9Q1e1CmUuoUs2Ix1cZVaTetLBSDMf2fKsoUV1Ri14kYmKwIQF9zWwye4oU/fE8hLrWYrQagP5+9I3rcDO3sLJ9EAKVqNf537mYscT6qZHnlK4DOMvwdqp+1EkBppQavj3PEiJX+LAKV6Z3JPbCTuQgqOl0SxjLUGgFXE7Ix3yoY/YY74oXRLpi6ZifO38rQe9ncN8425U0geUszdkoD/cJYJ/zodZwZjWu9p6xDeHQSuprYI/jcHVZAnmaiho3q/5JqRyPqYLMrAt2NbTHu910s0lina1gKaY1Wg7Mx6Zi2ei8GjHJEPwtLzLIORnRCHjQaFQRZYvsjNEyGJj2Wn6QWjEnKRk/j9bDaepaNG/cCeiyHusN3qlYCoFwxy5zD8fECL1AAE+l5lZndffVDh0egHh0QRBG3U3Kxyvc0Pv3WB09ZOMJ0ZQC2H7uB9JwyKEZUJWLXMBuvx21rPYUEpyBoMM/hCAZP8UB6TvEj1TWGG9EsvVxTiQ/m+mHcml3QapXawobf2WqAGSglSJKIHcdv4NlRTvjvEj8kZOQxg7Hh3Lo+DbYJUScxu4T/kRsYtnIX+o9wxD8W+TLvoWv3siAIna8KGZHspfgMdDWywY172Syug3uB1vVG8d/bAoFaCUCUtVi5+STemuaNwrIypkKgmczjNpshwUiGUnLLpD9eUVRcOAtKKhB45i5G/bEHPUyt8eYMT/zhcxbXkzNBvvQtsTEhzdRNEiJvZaCH0Xq4h1xmbSOjc20bjQytUlz3RKLvKDdkFpY/UqgzV0VZQGRsKl4a58IqjF27m8WuZyu9auqg2p5Z/TdyE43NKMSfvqcweKoHq1Fg/usubD9+A4XFJYoqRNZBoGhophqr2wOq+v07yney+2wKi2Z1mW9nFIDVd2AJQDpKD3g7OwsCtRIArQACz8aj61ArHL92T3mRmQ66dkHU0cAzzIzpU5Qk5BSXwfPAJbw3ywtdhlrhw/mb4B16FUXllHuHZtVapldviX4aBKMoShi7Jhhvz/RCflklS+WgrUso620DV+Oz8dQwa7juv/hIomI6fZmK1ouIikvDS2McmQvp+buZzM2zrkfV1HeyIzCjsSyiqKwYfodv4Z/fbEZXY2u8NdMTdrsjkZJXBFmsZp9ozINqeng7OkYEN3XtQXywcBNKKikCW7HbtKMm8qZwBBgCtRIAzQSTs0tZkfKjV4gAlNl/h14B6LVYLBCWIKhmVL2dnIsf3EPx2jQP9BhqjXG/78axqHsoUZGHi94gyqpsKcbZlniHaAVC6R0u3ExnEbweQVGKTz8L+q1D9UYEIOugFSX8e6E3Pl28WTHM1tRQfb/ZSkCUEBWfjlfGu+OVcU64EJ+pN/pTEss6nlnt3vS+MCM1raLou6xDmUaDk9cSMXVdEHqaWOLVCe6Ybb0fl26n6WMPyKakFK1nbaEh6eAeM2RoH/1nIMb8uZcl8KPVZQNgrIYo/8oRaFkEaicAWYfMvGL0G2aNxU4hTLjoIJGioWVb1YJ3r5rt00xekpiP9pWEbMzeEIj+I+zRf4QD5todxOX4DFSKpNdXBH8LNumBW5OLpyCpMGH1fgyZ7oGiCm2DvK4MunnL7adZ5HFqVsED96/pPyS4Sf11LjYTr453wCvj7XEuLoMZoZsqjElRRgKQIp9vpuRimWsoBox0QD8LB4xbRUnoUqAWtMyrigLMmCqug68KMvKL8NwIR3xrG8j8JZgKqDNaw2t62fixdoVArQSgqEREjFkbgpG/7NUH+zRIHrWrzlJj2MxfEqEWJFxOyME82xBGcK9PdsU6/9NIyikF6bJJlUGFU5RZbf1nwU3tMOnwI++kod8IZ7jujWQpH+o7Czeoj+gzJjkPfcwdsOlQdJ1NYqsOZv8QcD42A6+Od8RLYx0REU8k0LS+K22SmKqJ+kbG55zSSlaTgFJa9zK3x4jfdiL8yl1UaijVBKml6mxyuz4hMbMQXY1scep6irJyJK+5Dk5q7Rpw3rhGI1ArAZALIUU1LrQLw5DJm5BdVKYsZZsmExrd2IZeWN1nnoQPJT+rUKtwLCoeY3/fg67GlnhpgjvW+52s0tUy/3em+CAVhvJ3S0KstTZRljB5TRAGT3VBbhkZo0Vmdq/P86sTgEqtxaeLt+KzxRsZibFZ/iMkq6F4POnwaRYeGZ+N/9/elcdFWe19/nvfFDOoNG/ZvTevb97uUub1Vtbt5r0pICruphapWe6pmWamZaUiDLsCioKJqLjgAi5o4oILLqgogiKLgjpssg7M9izf9/M7zwwhYbLMwADn4TOfeZh5nrN8zzPne85vfWl0EF4c5Y20nEKmR2CxhRoDg0nZy4iXcKQ2kCWSLKHKICEo+hxe/SScmaQ6zY/AhkMXkUehLNiuRPGopWU0Bbez9cOM/4aYK7AftBwXb9ytFh1yGZCtj177bN9vEgCzf5cFxF7MQKcBK5CcrTbPiK0CLTLUUZS2AvJKShESew19Z/yEDk6r8M/PNiJ4zwWoC0uV8MumoGzNOdnXBWJS2n08O8QfvjsvMC9jcihrzIKYlLsrI46jy8gAlh7SHHG0rjrNn1E9dB/5H1wgncCY1XhreigKqqogiaQHMV/Z9HfzZEkEp6mqwrZj1/Am5UYY6IVe7qH4cfNZZKuL2fhRRFJjE3ciTW/xb5dg7g+9L1x7GH2mbIRO4DGTfhs1/m1LI/B4AhAlJGfdRycnb4THXKw232vphtenfgrLm1FQiB83nsSfPgxGRydPDPgyAlHx16Gp0jFrHpLxk9y85g+4PmVb65qPVuxGj3GBKChVsn0pIqiGUwDZ56fdeYCOTquw4cBFtoqnPv7mwRS3SgA5UvhfuHUPLwwPhPP8n1BQoVNW779ZQP2/NGNOu0wj4S+J0GqNOJuSg0+89sPR1QPPj1mNCStikZBym11T/9Kb/0rz86PVavHPWevx71kRzJO7+VvCa+QI1B+B3yQAczGCUUS/OZH4zCemeqI0f2cr72y3IirKTKNBwOnr9zBpxS50HRmAZ9y88JkqFhdv3YdOZ7CVJle3gyZr2Sgi6ZYanQersHLzaSb6qb6gESdUprbKgP/O24LBX+9gTmSPJYAa9TDlt2jEjpOp6OTiCZcvN6OwXKfENrKSD4S5eiLuG7kP8EXQEbw02g+Ow/ww5Ost2H0yxUTcZClFY00KevNdLftO2NJOpaC0Co7DfLA57lqjYkC1bC947e0NgXoRAD3cY5dswd8/DkKpxshetgaUJGpRqtHhwOk0jPl2FxwGe+PlCcGYH3wYqXfyYGSx7EnJaCMzRg0ASbpNzmcTPWLQfVQAsgpKIDdxkqVukijn+/BjeGaIBzLulTRoRcoIQDIyhXjA7jPoPMgTzgs2I19TyUigRvMtfmqW/5OzXUmFDmtjLuMfk0PRwdUfvSetRvCeROSXVLIgdKTnsYWD2ky7mJ8OXoTjIC/EX8hs9cpsW8CVt8G6CNSTAETsPHMLTw3yQHa+hr3YiqcZJ1OqT3mRiELxRGDVSxJKynVYv/8SXp+8HvbOnvj7pBCE7L3IFLvKD1OxSVeUwg0Xp1h3CEiyIjP9ytPOq/B16AlTHP+mEZXi1SwjOfMuOg7ywtrdSY/0Cq6rf2Tqy8RjFEROFBG05zw6DVwJl4WRKKrQs0TzDP+mNbOuqpXxZf4WpP+g1b4InVFA1PFkuFIQuiH++OO4NZgfFIeU2yZPW/Z8ULw683OijHmdFVjhQ2oj6VkWbTiBv3wchCoKAU1JefjBEbBhBOpJADIupeegi5svfKNOsJckUSrDZpxM2XafIlpSdEolVMP17DwsDTuCXpOC0cnZF4MXb8POUzdQWlXJnKdoYm0NhyjKmO63H91Hr0amupgpYkku3pTDLCLR6gW8MysCH3y/mzmINbRMgpAUw0ZBRODuc7B39oDTFxEorNBCEmk30HwY045AEvW4dLsQE1fuxrPD/NDZzRtjvo/C8eRsGMhvQ1JCXDPiZyFOG9rjxl1PvwWDKOJvHwVg2JIohTybEZvGtZrf1d4RqCcBkDWNFm9OC8cHK/awl5HFy2k++OgHTYlH9KKMCzfuY4rXXjw/wp9ttz9eHoOktHswGg1stUpB64y0gmwl7pfp98vw7FB/zF19UAnDwJLANHFiNREmKZG9Np+sTk7e0BFTdnpKnCRa4a7Zew5PuXjBaX448irIOqj5zDONtB9gsnYyTxaQde8BfLaext8/XofOLj54c+Z6bDp0DeU6I3tW6JlproNwTrtdgi7DfbB6DxlLNCy6anO1k9fDEaiJQD0JgCxlDFgWdgLdRgayV0mVQUl0UbM0S52ziJXKap/CItAPWas3YHt8CgZ8vgHPDPHBS+MC8ONPx5CeVwGByfdJ6E1WqvSjN23/m1FE1eCuk8iAyeklzAmIwXPD/ZCWW/hLsNWmrh6JP5g4RELi9bvoONgboXvOslDepCCuNzeaRCqsrcxiyoh1+5OYTsBlwWYUlVUxUQd5MNe7zAaDZbqBGmHqEw0tEwXKBjyoNCD8wAX0mxkOh8F++Kt7MFZEnEBesYaFLwEzDqD2KY5o7EFpbBsecR8lBgradwHPDgtAtrqEETmRAj84AraMQD0JgCwuRBw4cwNPDvJgrx1HrzCZvDU6R2IFsqiQRREVVTocuXwHzl9uxlOu3nh1UhACdp1nSdAFUlKSBU1TJ0trdOJxZbIELRIy88rwwghvfOodwyaNx93WmO+JIN+YvgFDF0exVI60im6M+YziKEbELyD0wEU8OdgTRAL5FVrIEgWsa0zrmnYPs/6i3SEE6Ax6nEjOxpjvd+IZNxV6jguE945E3HlQojjUsRSetKBoWp113U2iyf/O3oy3p4dBbzRW66vqupZ/xhGwFQTqRQD0i6FJQ2MU0eOjQPaa5rW/QVYlDekwTfwF5eUIP3gZ78zciI4DPfD2zA2IOXULOkFg2baU8AXKSp9FtmxIBTZwLSlZKdzE4qAD6DzMnyVhp/Db1jhE2QCvrWfxwnBf3C/VsABlFASvoQfJuek5YHoYQUR43GU85aqIgwrKWyYlJPPcpl2BSKt7sTpa65X0e5iqOoCnh/nhhRH+mOlzAJey1CCMSaxl6SNLXYLnR6/B8k3H2M6ObYf4DsDSMPPyLIxAvQjAbIFDP7Cvg/az15/c10IrNG2LK0ICs4GXJCXjmCQgU10Cj4gEvDwxFJ1cPPCfeZuxLT4NVbq25VVJE5e6sAQvjgvCNO9Y6ARFzm7h8WXF0cR9+momOrv5I3RPEpNPN3VuIvEGxUyKOJKMZ928MWB+BIpMfgJSMypfH4fX9dtqTPc7hOeHe6MzxR1avBVxFzKgNRqYHoF2m0TENTOnPa7M6u/JiY24RBKwLf4a7F28kHqnsPprfsIRsHUEGkQARASUapBeDq7eiDmV0qT+0SREK3mjaMD5m3ksMNvvRvvDwWUl3D1icS71LioNAktKbo1VW5Ma38SbSUH9fVgCOg9ahZTbhYCsZxNRE4ut83ZSipO4rM+nQXD6PJydN3URTDsBmeVFMGJHwk08PcwLA+ZvQl55VZOd2OrsRCM/pNhKFN/oTmEZ/HedxWtTwlg+5D6frkNI7GWUU05kMtl8TLKdOqs37YwNkh4ui7fgjWmbUF5ZVeel/EOOgC0iUG8CoFUkTcKllVr2ojgx43/YxUxBFY/Mx2yrmfJOUdKadxQVWiMOnr+Jkd/uYordP471xfzVh1nYYNpt0LaeZLyk2G1Oiw5rDhRNvGQznldciR7j12CWXyyL2U9iFdKzWOOg1a1BkvHDT0fw+zEhuFtU2qA4/3W1icaQWktEQO3eeyoNvx/hi4ELt6KgVGtS1ra8py49PyJTHtMOy4jiSh2ijl7FwC/C4TjEDz3Hr8HisHhk3C9RjBroORcVXwI8JnOZ8lzKuHW3GM+5eeKH9fGQZOuI8eoaA/4ZR6CpCNSLAGpWIou0IhewaH08XhwdiDsFD0xhBn5bHESrUHPcl6KycoQfuoJ+U0NZqsW/uAcicNc55FXoIQnNZ1ZYs1/Nda6snI3w3Hoaz47wQ0pWvlWUkjX7Q7ssQQbOZeTD0UWFiMPJjVIC1yyz+txklWOQgbiLGXhhVCCcv4xEfhll/dI2r69IdaMecyLKMBgNSEi5C/eVu9FlhB+eHeyFqaoYXLxxD5UkHqIgfCYiMC9YflUqs+IS4b/jDJ5yVeH6nQdMx/Cr6/gHHAEbRaDBBKAk7BBBaQc7Oq1A5NE0SLL+sYo1uu9GbiF+DI/HXyeGMOXh+3N/QmR8Kiq0ijyW9AFMpmqjYFmiWbTSzy+pQo/xqzHFi5LsKBYjlij7UWWYFaUagwHvTgvD+/PCLGayaZ4c2btkxJGkbPxxzBoMnBeBvAqdTXrD0mKEdq3KrkuP67ml+GbDcfzfR2vwpLMnBs6NwM7jqSit1DwUKLA2voRrpd6I/8yLxICvtrFwHszEtvaF/H+OgI0i0AgCUJKqaA0GvP/lFrjMj4SRWeYodtZKrHdltU9iI1pJXbtVgKneMeg21BudXbwxZukeJKYqCciVbbRpQcqUAtYRg9gK/jTh++w8i67DvHHpTiFkwfoZ1kg4p0zUEr5ZfxSkZ7mjLmWiKCLmphxMB6rItZgoiPqXeC0XfxobiPfnbUVRmWKLr9TflJosdy+J4Ni2S3EdYf4B9KwWlWiwNiYJb82mkOHe6DN5PQJ3nsKdgiK2yyXFt/Iy+XDIAs7dyEMnp1XYejyNKYOJVPjBEWgtCDSYAMwrPvrBBEafh6OrCtfu5Jtiw5jCKktGaI0CdhxPw+AFkXh6+Bq8OCYQ32xMwPUcJTCbLOqsZkZqy+AXluvxp/EBmOSxD4KkY9aYzZZjWRKRnF2ITi4rEBZ3jRFAo6xfHgEwkTnz4ZCB02l30fODQPSftwX3yVlMJD+Bx+iJHlFuc3xM0zaJykifoaky4PClTIz6djvsB/ug+6ggzA04gBt3iiEIJAI1QKZQKLKAL4IP409jg3D/AQWnM+kOmqPBvA5xGsOXAAAgAElEQVSOgAUQaDABKGkSKUqkhHsFJSyR+JzVB9n/tCUuK9dg0+HLeHN6ODoP8WQROX2iTpo8Rindn+LGLzDlXPtbLamiTqDL8CBcunEXZKFCK8bmUnCT/qGisgrvfR6OYUt2MF2OIFlO58KUp8yLm2LyiEi6mY+Xx63BgLmboC4lZzEbHm8yNjBlKqPscbQz0xmMuJKhxpzV+9Ft9Bo8M8wHo5ZsR+zpW9AYdCgtN+CF4X74YvVBtjOwZYKzwFzBi2iDCDSYAGpj8IlXDJ4f6Y0bOSX4fsNh/OGDNXjK1QcDv9iKXSdTmIy0OSe52u2zif9pZSxKeKCpxEvj1+KD77e3zO6H2btL+HrtQTwzfA1y8ijwnHUmZZoMaZd4OT0XvT5ci/6MBEgcpKyybWJc6tEIcz8KijXwjDyNP7sHM3v/d+duwjz/WHR2C0Di1dvMGqoexfFLOAI2hUCTCeBc2l2WwvDFsb7oOnw1Pli2A8cuZzMnG+aZadoWt+fVEfWdsPDcdgpPD/ZEYpqaiV+a+0kg3wMK43A5Q42Ozsux8eAVq9nsM/0PMx0WkHK7CK98GIR3Z4fj7gNSrOqbu+uNro/Gjo0fC9AnoFwrIDohDf+dG4EOzivx78/DWCwqa8QXanSj+Y0cgXoi0GQCIG/QIYsi0W/6RqTfU5RlJNIg2TJb7dE7UxLWs0Vt8DLqf2FpBV6ZEIQxy3bBYDRCaAFlISk/SbxRpRfRb/YGfPhjDAQrRfOkPjMSYO9GJGfn49WJa/DuzE3IL6tkilf2XNj4eFMblRf5rSuhMMgMOq9Mi66DPbHr9A0mSuOB32x8IHnz6kSgyQRAiUf2nbmJ54f74F5RBYsdX2dN7fhDmhwCdp5FRycVTqXkKvkMWoQATKtZGfhuw8/oMtQX94sqrDoy5gmUyCDtbgn+/tFa/GtmKO6S0lSkuE62qxh+FDCk6PbbmYDXJoeiXK+DLMi0t3rU5fxzjoDNItBkAiC7Z70g4C8fBcFj6ynbdPxpYfjJe/pl91C4Ld4GvZ5W/0LLRDCl1Sx5V8sSEq9moJOLN8JjzlsVHTMBsHfJiBu5xfjbxBC8PT0UWQWaBmUps2pDG1B4qVbAnz8OxpdBB5RwGGyXYB1dSgOaxS/lCDQYgSYTAFl70Cru67Vx6DnBjyUOJ1EDC+FgQ0HBGoyMBW6glT+tcg8k3kQHZx8cvpDOzM+ZN3BLrHwVo30m0jDIMnp/th7jl+2CIJhEG1ZoE038dNA7PScUlyfjfhFenRyCfjM3Iq+EYufTzsTGV9CkxyGdhmRA8O5EdB7sjQtpOZSCwrSLaX07GQs84ryIVo5AkwmA7Kbpx33tVj7sXQPgv/U05d9QdgJWmFBaE95k+UNxaD5YthP/mbcJVVqdzTSf0jwu23QS3Ub6Q11RATLvNU/W1moklW9+pd97gNcnrsPIpbtQZSB/CMuZo1qj/bRroqihD8q1+NukYPzr800w0oPOD45AK0agyQSgZOxSTPvcvtmOHhPW4EEJTSitYFVn5YEjAsgtKMYLw/yx72w6C59s5SrrXTzJ5M8k34bjEG+sj71ocuSz7ircPPnTu1Ey4Nb9Yrz84WrM8I5Fpc62LYPIWY8IYB3lRXbyRGziLatZUNV7EPmFHIEmItBkAqiuX5Zw/Gounhnkg8WhRyFRco52vgMgK6glYcfRe/IGaPXk+Ww7K0Za0eolGa9NDILbNzuYB2xzimGIBIiEjl/KwtNDfDFxZTSLCSXLRtvUI8ky8ovK8eePA/H+F5uh1fOcv9W/fX7SahGwGAHQD1oUDVi4Nh7PjfDFlawiZgbaapGxQMPT7hSi24jVCN5LK2zBpgiRuFkWjVgZmYDnR/rh5t2SZvNIJmjNuwGKHXTsShZ6fRiMQV9G4MadIpsiSvNjQM6MS8Lj8cKYNbicmcdCQZBOgB8cgdaMgEUJgPQBpRVVeG3SOjgtiITBSGZ+Jp+AdqIjo1U0ib9EQcR0VQx6fhCEgrIKJfaYDe2IaAdAJrzqB5VwHOYHv21nGpcVq5FPv5kAzIpVSqT+6pT1+L8P1uBCajYoSJ2iLG9kBRa6jUSc5LNBYaIdh/pgVVSCkpKUW/5YCGFeTEsiYDECoE6Yf9Rbj15HRxdPbPk5mVl9sBgrsG0ln8UGgeLISwYkZxfAYfAqfBdOE4btrRQVApBgMBgx6tud6DczDMYWWNGanxkSB2Xml6D35BD0mBCC+Cs5LOga5XJpyYMIqkKvw4B5kfj7hyHIK67gTr8tOSC8bosiYDECMP+Q6V1TqcHAL7bglXGrca+8khIrtR9HGVGGIBow2/8Q/vhBAO4VNq9opb5PBxGAMmaAb1QCOg9R4WqWur63W+w6agNN/vROXuVEAq99uh4vjPLFUSKBFiZPUdBj86FreHKIFyIOJkOUjRbLpWAxEHlBHIFGImAxAqhZP/2gT6XmostIXyzbeAqiSJEga17Rds9JDJZyOx9dR3hj6YZ4FhPJ1jufnV+Mzi4qeG49zmIWGc3hO5p5mBRCknFbXYzXP1mH54b74ND5DCaqEmkVUcfBdjIsfagFtwosMiiRkoDcomL8xT0IQ77aCp1AYjMDKKYSPzgCbQEBqxAAhdIVZB2mecWi6xA/nEm/TxrHtoDXY/sgyEbM8j+E50cGoqC4nBEABQqw5UMQDBi+ZAcGLNgKg1Fnkr03P2ObCYB8FDLVpXh9Sgi6DPfB4fO3WBC7ujAkPwuWk9qC4ivmyCjLoJDlcwIOwHGYP85czWJEpDit1dUS/hlHoPUhYBUCIHtp+hGpS3V45aNgjPwuClU6gaUSsyE9qAVHS/GkJU1vWk4Ruo8IwI8b45nnKE1QLS3GeFxHKUJo6J5kdBq0AldzH4By05MJa3MfZgJQPIb1yFSX4Z9T1qLrCB/sP5NuitdPjxFl5iIzJgppkQWjqGSgs1R7SQEtiCLOXb+Lrm4+WLz+qMlPQqnb1sfTUjjwcto+AlYhgGrYZBEbj6TCfsAKrNt7GaJsYPbm1d+3lRPyEiVZtmjA3NVH0G2EP+6VVLWa3pHI7ubtAjgO8YFXxDElIXoLMnU1EUgSstTleP3Tteg6zAt7WeRNPYulRHjrDQJGLd6KM6l3LOqURRN8hc6Itz4LQe/JwSjSUG5j297FtZqHjTfUphCwKgHQD8kgipi0ci+ec/NhljEtsbK0NuLMykkScet+CX43wg/fbDzByMDa9VqqfGa2Khnxny+2wHXhTpYJi0Ift9RBBGBWDFPsnay8MvSZshbPunlid0KaaWcl4eqdYji6eGG8x26LhpKgVI8LQ46gs+sqHLt8B7KotykfjpYaF15v20PAqgRAseDoB5ymLsHLHwXDdcF2lGsqQWnQ2YKqjayqaLEsSnrMD/oZL45cjaz8MiZCaC2PCxO5yAJCD1yCg4sn0u8+UJKmt1AHzDsARgRkby8akZNfhj6froXDEE/EnEhjBLF43UH8r5Mni2eUqX5gsmpSxI8NbTqROAtsKMk4cTkTTw/3xtzVhyEYKdYVldlyhNjQvvDrOQL1RcCqBEDzOzkbSaIeEYcuwt7VB4G7zirbdRZFtL7NtO3raKLKUJei6zAV5gUfZjkRKD9uaznME+6t3EL8buRqeG89ZbVUkQ3FxNw2es/KK0Wfz9bhKTc/7DiWhj9/tAb/+/736DhwBQJ2JSoJ6U36p4bWI1E8f0FCYYUWr00JxauTQlBYrm1oMfx6jkCrQsCqBEA/WkW8oIiCFqw+BAdXFeIuZrBJknYCbeEgZ6Fv1h1iysobTIkqwUj24q3oYGMlyXhr9jq4zNsMvY0QWE0CID8BIoE3ZoTCcdAqdBywCk8MXIaOAz3wj0/Xo6K8slp01FDoqR6jJODjH/fi2RH+uHjzHsvj3NBy+PUcgdaEgFUJoCYQFORLXViOvp+F4a0ZG5BbXFa9rTb/yGte3xrOWdpLQUZWQTkch6owxy+mVduIk5gjeN9ZdHHzR0pOEShOT0ukrqw59kSukqgksnlQpsGBc5kYsmgrnhjwIzoMWI4OA395nUjOhiAZGmTBRDF+mAhMkhB97Doch3riu/BjENgOlYt9ao4FP297CDQbATB7bVGPc9dy4OjqB7dFW2AQSLbaencBZO4qCgYsDIlDFzdvXM1+AFu3+f/NR1gGcgpIkb0GPjvOQhYVn4DfvMfKX5KN//WcAqzadhr/mBzCZP7/M2CFQgADl1e/ExFMWL4HRsHYoDEgAqAkNedv5MHRTYURS7fBKIgAiS5b8bNp5WHhxbcRBJqNAJgijTntSAjdfwGOg/3gv/OsEiyulYJJ3qnZReXoPjoYn3nsZSvm1qzXpglPZ9Th/dmb8Mbs9Sz+fUsTNHneHjqXidHfRqOT00p0GPgDnhhIq//v8cT736OD00o8YdoFOLp64FZBBVCP5DLmXSfZ/OeV6fDenE14bXIQKCgdE1vS5M83AK30l8mbXV8Emo0AajbIIAqYtHI3Og1SYd/pmxBFfavcCVAWrSXr4+HoqsLZ1LtKNM1WvGokkhYkAX5bzqDLCB9cuXWvxe3fyWyYVulVgsh2WIvWxuFP4/3R0ckDHQaswv+8vxz/O4B2AiQKWonlm0881iS0evKXJGi1Ogz7OhJPDvLEsZRcyLQrbSO6qZq/OX7OEagLgRYhAIqXU1hegYHzI/CKezAy7pW2SgKgyJAvfRCMD1fsYKIHck5qzeaCxF1kDpn7oALPDPZDcMylFheD0GSteP5SHB6RTe6lGgMiDlyA2+It6Oa2Ah0H/ID/GUi7gxXoOS4QpVpDXc969WdmAhBFESF7L+OpwasQtOssG0PSN5AfAD84Au0BgZYhAJpoZBE5hRr8aWwAXp8UhNsF5coP3YIxXawygJTfQJKZcnTlpuPo7KTCmet3WFgCJv5pvSoNFuWSCICylw1ZFIV/zw5lTldWwbGehTIFLXtelHzChDGbwKGE37iSWYQfN5/Bn92D0dFpOf7XaQW2xF0yZTirW4bDypRkhO8/jyedV+GrkCPV1kPsOy77qefo8MtaOwItQgBm0IgE9iVm4NnBnhi2OAoaXRVzxjF/b4vvNEFIooCi0gq8/FEIPvh+D/TGtrNiZCtuSULgjnN4ZpA/stVFtjgM1W2SyUpIElGsqUBsYjqGLo7GoLmboWPK3brHRRIExCVn4mlXf7w7ayOKK6taXNRV3SF+whFoRgRamACU+Dm7Tt2Ao5snvl4XD0Gybft5EvGQc5vvjkvo7OSBM9dz2W6mGcfMalWZRSP0nq0uRQfXldhz4obV6rNEwWSKS5nDyFrIIJIOw4DM+/nME5vIoa4jp6AYr04Kw79nhyGvpAIGbvJZF0z8s3aAQIsTgHnFGbrvHJ4c5Itv1sdBZ6CsWkZm/21rY0CrzQcVZfjrxGCMWBwFnaBvkw5DZAo5ePEWLAimSJh6GBQFga0NR73bw3Zukh63Cyvw5pR1+NvkUOQUVdT7fn4hR6AtImATBEAkYBAMmOIdiyecvbB0w1HojOTQY4MCdUlEyL4reNpVhVMpuRaPRW8rDxlZ36zefZ5NlIJplc0SG9tKAxvaDlnC7cJKvPFZCByG+eBUcjYL8dzQYvj1HIG2hIDNEABt4SurdBj/4w50HLgKP24+CUGQlBwCLY04s+4hJSRQodWj92fhGLpoM5M9WzoZSUt31Vw/WcLcyM7DC8O9cDVDrcQGskVCNjf4Ee+08qeByyksx5tT1+EZN19sP36dWWuRMp8fHIH2jECLEkBN4FnkUNGAMq0RY5Ztg72TF3y3J8JgNCrB1Vrwt8pk4xRkTDLip/2XWIaoE8m5NZvf5s5JQU9mra9/EowNBy4p5q0tOAaNBZiyi917oMXbM0LxzBBPRB5NbdXhOhqLA7+PI1AXAjZDAMzWWxLYZF+m1WPMsig85eIBnx3nYBCUkLx1daA5PiNvUYruWW7Q441PNmLIosgWN4+0dr8Z6YkiFqw7BqcvNsEgCK3SPepuUSXenh4KR1cvRManQpLI6bBu5bC1MeXlcwRsDQGbIQBmXUN5AkAhpCkjkwFjl+3Gky5eWL7pBATByPwEaGJq7oNaRXkNwuIu45khgTh2KQNiPcINNHc7LVmfedezLyENTw3yxI3b+a1m5azoqwXkl2rwxmdr4DDEB1HH0phHMT1nLfAIWXJoeFkcAYshYDMEULNHFIkRogEanQETvt+JDoNUCI5JgiQYWmT1RpOhpsqIf0wJheuibdAZydywba8ilYlSxm11OZ5y9ULonnMNirJZczyb+5zEVzqDHqO+3QmHwd7Yduw6C3HR3O3g9XEEbB0BmyQAUkCyML2ShHKtDuO/347nhvrgcFI2i77Z3KCSnXnUz1fwhIsK8VcyAcFg8w5rTcWIYu/TREpK7vfnRWDQ19thMDZ/ovjG9ENnFPB54EE4DlYh6lgqy9ZGu0p+cAQ4Ag8jYJMEYG4i/WRJiVeuM2DY4kg8O1yFg+cymPxdiQ9jXXEQTRq00i/TVKLP1AgMnh8Bmlza1SHLWH8gCU86q3CnsErJEWBDk2l17mBZBkVnLanSYYbvIXRyWYWQPefb1VDxznIEGoqAzROAEgDMgMLySny4Yg+eGuqLHyNPsng11lbm0eQiCXpEHbuBDk4eiLuQ3SqD1jX0oah5PYm/kjNy8LxbILyjTjMvaErSYisH01UwT2AJaXeL8M6sjXh+hB+2HUtleiNbaSdvB0fAFhGwaQKgHzfZcZPggVb8Wr0R8wMPoIOzJyZ77YfOQMpZyuikJJah6y15UMyfkkot/vlZGP77+QZUaHXtkAAo6Y2Ad6dtwH8XRkJnMEAWW5oAmFqePRts7CUB1zLz0HPCGjw/MgA/X8xghgT0HT84AhyBRyNg0wRQs9nmlZ5elLA49Gc4uq7EqGVbcPNeiRLD3eSsZUlZryQasf1ECuwHeWF3wk1mF9/esoQQ7qSPCd2XhK4jAlgE10fF2Kk5XtY8p3j95olfbzRgS/w19BgfgD4fh+DYtbuQ5d8OB23NtvGyOQKtCYFWRwC0KhclAw5czEH3Eb744xhvnL15vzqcryV3AVq9Hm/MjEC/6SGo1BtZ0DG0s1WlQrwirt/Ox3PD/eAdlQC5hePls5DQkgCNQcTSjfGwH+iB4Uu3oaCconoabDKGVGuaFHhb2w8CrYoAaFjMOwGyULl4S41XPl2H7sO8odqSAL2RJmmhxjUNFwmRcIGsfqiemNOpeMLVB5viLjOLGEYuFhYz2fyjRjsAUYRWlNF/zga8MzOsxSygFHEfWSYZkXW/BEMWRKLzYB987heHsiolqxwL+ia3Dmslmx973sA2j0CrIYC6RoIUxGWaCvzwUwKeG+EP16934PjlOywUsCiRvL7hMmAlSbiIiiotek8KxYB5P0Grb78TiplwKSzE+r1J6DrMF5cz7tU1HFb/jPxDKqr0UG1LwEvjAvHW9A04npwNQVR0QVZvAK+AI9DGEGjVBEARK0kWTHL/jPvF+PesDXAc7IN5aw7jQYWOWawQBZiJgK3gHzOAFPZBEkSs2n4aDoNUOHjxVpuJ9/+Yrtf5tZkACMOisip0Ge7N8jbQ/2QN1AiOrbOehz/8JfsXEQ+oHlnEqevZ6Dd7IzoP8oRHxCnoDYp3OMvi28JiqYfbz//jCLQOBFo1AdSEWBYNKKnQ4oefTuNpV1/0mxGOwxcymPcw2fKbJ3/ze817a55TCOrSSi3+MikEboujoGchKBouSqpZZls5p4Txn/geQp+pG6ETKFicaBUCILSZKIc5o+lRrjXgh4iT6OLmgb9PDMXxlFwYRKpb4Mkb28rDxfvRIgi0GQIwSIrs3iAZEX8tA69/FgzHod5YtC4exZW0G6ifqSjtKoL3J6GTsxeOXMyERErF9ib3f8SjSB7aO+NT0NF5Fc5ez4Ek0wrc8uIxgpsUzQZJwKlrd/H+vE1wHOyBGb6Hcb+skoWkoO9prB5H6I/oCv+YI8ARANBmCIBEBNXiClFCXkkVFoQcwpNDVXj90/U4cDYNRiYyIrERXSuyRO7sKWB+BAqBlOuq8ObUMAz5aotJxECzUcN1CW3x6aJJN6dQg+fcPPFFECVSV8JFWKqvpORlOhhRRkFJOZaEH8MzQ7zxF/f1LN8vc0CjFBHMDFQxCOCR3SyFPi+nPSLQZgjAPHjVJMCsVwScuZaLf80Mw5ODVuFjr324ebcQLI8sKQ5NK3uyKydxApkQhscl4QknTxxJyjIXyd9NCIg08UpGTFixD29O34hyrWVDK4uSEUbJgD2n0vHKR6vh4OaPL9f8jPzycpZ8hw8ER4AjYFkE2jYBSDLzWq3UGaCKOo0XR6/B70b5YtWWBGh0umrRDsmciQBKtEb8a1Y43p8fiSqD3rJIt4HSSAREBLAjIRWdnDxwNTtfyRRmob5dyyrA4K+2o8MgD/xn3iYlbaNEfh+Uj4HvwiwEMy+GI1CNQJsjgOqe1ToxyiIy7pVhzHc74DDUF30mhyLiSDJL8UgrTxI/bDl2DZ1dfHAkMQ2i1M6CvtXCq65/SUEuQo87eSV4YWwwvlxzpNEWUuRbQJI18tu4nV+Ouf578KybP34/yhvrYi6yAIBM98LFb3UNBf+MI2ARBNoNAVD+VwrtYBCMOJmcjUGLt8FhiC/enhGBQxcyUKUz4N3PN+E/cyNgZOGeueVP7SeMRGZkdkuOcqO+iUTfz9ajvLJxYRdkUUB5lQ6B28/imeHe6DrGH4vXH4G6uJxZF9F4MXFeq8xDVhs5/j9HwDYRaDcEoCgslUmFVvcGUcKO4yl4Y8p6ph9wXRyJp90Csf98NrNuEUSRhf15SFlsm2PYbK1iBMDiMIiITriBDoO8kJxRyJTkRAp1z9WkayHNrRLYj/Akkdzmo1fx1vSNeNp1FaZ77UXG3QcMd5l2BixBtNlqq9m6xyviCLQ7BNoNAdQ1spTkvbxKD6+tp/G74V5wGOSBD5dH49wNNUSRzD8VqxSaj/jxMAJ3i0rRfUIQloadhCwalUB5RA61DoocTTiSBValVouNh5LR+5MgPDHAC2/NWI/YpGwIsgEiD+BWCzn+L0fA+gi0awJQFpoi82jNzivFV2En8eJYfzw92A9Dl2zBoQtZqDQKoFUpPx5GgJTmo5ZswSsfrUGFQc8wrMtclkxu7xVr4Ls9EX9zD0EHVx8M+HIzdpy8Ag1ZEQnKip/7WjyML/+PI9AcCLRrAmAiC7ODGFmXyyLUJZVYsyMRr36yAZ1dvdD3s7VYty8JBWVVzHyUlMVMNm3KVaCctz8LFUkSsDEuGY5DfXA2jeLvk4moKRCfJEGr1eNqdgFmBxxG9xH+eHqYH8Z+H4W4pCxodUrgNsKbpf4kPwyW9aE5HnleB0eAI2BGoH0TgBmFGu8krpYFHTRGHTYfucbMEZ8a4o0X3AIwy/sgzqXfRyl5Fot6lrieJrH2uHolmX9hmQ7dxgThh/DjzGNalPTIzi/DT3HJeH/+ZnQeHICXJgRiht8BXLqphlEQIYkUQ+jXoqIaQ8BPOQIcgWZCgBNALaBpRUqiIVrRCqKerWrP3byHmT4x6Dl+LTo6rcSb08KwaG08LqXnQGskr+L2ZzJKZrWSYMQ4j93o9cFqxJy7idE/7MHzwzzQ0dkL734egfDY88gvrgTzH5ANIDNSwtUcnK8W9PxfjgBHoJkR4ARQD8BpwqJYQnmlGuw9nYYPlu1C1yE+6OjigX/OCMOKzSdw4tIdGElxzJyWjCaRCOUnIIJofSIi2tUwqx+R4u/TxC0pyl7JCEGQUFCqwZ4T1/DvWeFMofuk8yr0nrIeX4X8jMs377IcAgQtlcEPjgBHwDYR4ARQj3GhOYxNgJIyoZNJ6Z2CMmyIvYjxy/egy3BfPDXID3/7JBCzVx9BeGwiHmj00BskQDC0SgJgq3VZgiAbmVOcRi/iQkYeVkcn4j/zf8IfJ6xFp8FeePmjNZgfFIeElHsoqdAxr11yrOMHR4AjYPsIcAKoxxixlTDLjUsxgygJPZk2kgJTZMln8ku1CI+9gFmrD+PlsYFwcFGh6+hAvDFzI5ZtPImD5zNxv0QPvVEAaEdgXhmTvoGZz7NoRIBspGg79K1J0UxxkdnF7DNmaM9uMH3PFNdUiOllulcxyGe1KPcplbDrFJ0FtcH0x/qihF9mq3WTcrtYU4ncEi1CdidiZuAhvPRBAFP4/m7EGrzxaQhWRSbgXMptlGmNpnJNynGTiIev/OvxYPFLOAItjAAnAAsMgLJDMIJCUZPZ6IlLuQjddw5vz1yHVz4OQmeXVeg81BsuX0ViRkAcVkefR9qdAqTfLYRWbwDlMqCsVmQvz6yMaBKViGDIvt5kKcOogWxllBcT0ZB1Km0yZHrJ7MUiZZquNZ8LpminVDYpOBRZPIW/UKJ55j8oxY3sIlxIv4+Faw5iml8cXh6/Bs+6qvDMUD+89ul6fOq5B+GxScgp0kAr8BW+BR4bXgRHoMUR4ARggSFgBMBk5gJESmJCegBJgiAZUKEXcPxiBnM2Gzg/Am9OXw/7QSvRwXklnnJahXdmRGD4kp0YvXQ7QvddwsmU2zh5/Q4Sb9xFTkEFjCIRgPCIFyVlUYKlke6BgqbVdW2FzoDrdwqRcO0OTqbcwdErtzFnzSG4Ld2JYUt344XxgbB39kJHl+V4bpQv+s/fjlGLt2BXQhqS0nOYCIj6xMw8JSNLxmIB2HgRHAGOQAsjwAnAAgNA4g6FBMwx6kkcokhvFHERiX4U0ZHOKOFqZj6SMvOwastJuHscxLjle/H3yWvRwWklOjp5wt55FToN9MSLo/3wxrQN6DdzA96aGYY3Z2zAWzM2oN/09fjP7DCMWLQZE1fsw4ivt7D8Be/OWI93ZoTh7Zlh6EcvunZGGHpPCoGjqwc6OK+CvbMHOjp54OlBnnBasBkTVu7DJ6v2ITYxE5dv5SMnr8wk5lJ2CtaUwqgAAAwQSURBVEoAOBbJQVHoUsfoxQ+OAEeg1SPACaCFhtCc0YqZRYqU3F6LrPxiZKkf4MrtIgTsOI+vQo9h4bqjWLg2HvOD4jHD+wDGfLsTfT4Jwe9H+aPLEBW6DvWG43A/dBnuhf+bEIh/zdqISatiMDvwML4MPYYFocexYN0RfB92BLFnbyFLXYpMdQly8itgNNJuhUJekGMWWS5xj+cWehx4tRyBFkGAE0CLwG5S/pLcn8wqTRE2mWyeZPSmVItsZ0Fye/IzkEnZSnoGCqZmRGmVHg8qtChmr0o8qKhCWZUBOoPimEYB70TJALLIIQsmcyx/yaQDINER1cfyJbNrlWBtLQQHr5YjwBFoAQQ4AbQA6LxKjgBHgCNgCwhwArCFUeBt4AhwBDgC1QjIEIpuIelqLjRWVrdxAqgGnZ9wBGwPAUGdiMgAFVQqeoUgYtdexCWmo0hX07u8ClnR32HitFAkaWp+bnv94S2qDwIaJKneg10PFZKsHGWGE0B9xoNfwxFoIQTU0VNhZ9cNfVzHw919JN7rYQ87O3v0GLoMe9LLTDl4ypEcMAz2PRcjvoQr8iHdRuzX0/F17G3mGln30OmRE/sDJn0dixyb40xOAHWPGf+UI9DOEFAI4D2okjRKz+UqqJO24av+3WHX90ck8An/10+EkARVDzv0UCXh0Qvo5ptkf93Ax33SfG3jO4DHjQX/niPQggj8igBYW2RUJXnjLbs/YFjELUhQVrMTZ0UhnW0A9FAnbsHy2cPQx94O9n2GYU7AYWRpzLsDGYL6LMKWjEMfe/Puwh3u7nMRklQCKScWX09ahl1nD0A1ti8c+s5HTI4eEO4jMWIlZg/tA3valQydi4C4DJOc2ryi3o6zpzdhyei+sO/hjDlrT0NdlYekyG8xuk939Og/E4En7z1iYjaXsQMXzm/BUlbGQExT7Ud6ddsBCAVIjvbFHHM7Rn+FkMOmdpQkQOXuauq3Kz50n4hpIRdhok/TSBYiQTUFrn26wc6+D1w/dId7tfhMj8LkPVDNMWM3FgtDjtTArvbDoEdhkqmtdj3xnvuPiE4310bjsAlL3fujh30fDJ3jh1i2ayP8ExGxfBaGmtowdE4g4rLKTTu6OghAyEdS5DK4v9eTtXnonGCcVOtrN6bB/3MCaDBk/AaOQPMhUDcBANAnYvkf7GA/NRaFqDVh0Aq4Zz9M9PoJu6KjsWvDQvS3746BIVdhoKZXXULAgD+gp7s3Yk4eR4xqInra9cTo5buQpNZDSFKhh50d7Ox6wXXOD/D61g/7c5TPe/adDK9NOxEdvQMbFjrD3n4kQq5XAuY20H09x2P5pihsWj4ePe3+ChfXd9DTdSFCtoVh+dhXYecwHdH36wonYuoHldHDDQtDtiAqeC7es++OAQGXUEVtl4txUeUGe/sBmBO8FdHRWxGy0A097N7CvLj7kHXpiPWfC1cHOzi4zoGnSoXA2HToHhoyDdJjAzDHtQfsHFwxx1MFVeABpOsElF/0wwD77nhvTiCionchKmQhXHs4oNe8QyioQyErq2MwvWcvjF6xCwlnjyI65Dssj1MDEFFy1gv97XvBdWEQosztdI+GmmE1EH0nemDTrmhE71qHhf27w37gWlw3UCW1xtPcZ8J12xEkxO+Ayr037Pt74WwTd4CcAB56MPg/HAHbQuCRBCDfRtTYP8CuekKpqTQUUKnRm1aTNGnWvBYQkwPQ2+4dLE8sUzrLRCb26B2QzPKyKQTggL6LfkZhzUlPqIKmhvJZzo3CWLsecI/O/WXScvgQa1NMugn9RahetYddfz8ksRW8DENyIPrZvYo5cfl1AG2a+GqWId9D7LS/wm5gGNLJJeZ+NCY5dMOAkBRUU4iQjoixPaqvQWNFQHIOoif1gt2AtUg1mjuuQ1bERNjbjUZY+sM0Qh1QsKqBpblXcjaixvWAvVsY0s1lyVXIu1sMATKEykrozFXAiNyoSbCzm4poNQmtHiYAuSAW0xx6YFxUdvWYytkRcHskjuZGPP6dE8DjMeJXcARaDIFHEoCYgpB3HFA3AdDMVIKsxDhsDwuESrUY7n3M1wJSehgG2vXG3Lg8NqHIxXGY260bBobdYEpTZVKroXeo7r0MoTQTiXE7EEaWSUvd0ac2ATxkuZKLaPcepjaaClFHw736nuqCTScPT3zKhzU/k1GZ8B2629Vum+ka+9mILRRpVm6cDqAyAUu7/1p3oODRC1Nj79dusGk31R12PYZibuAeJKmrlEn6EWX9UoARpVnnELc9DAEqTyx1f+uRBKDU3wOuc5abrMHM2P8yZr+U27AzTgANw4tfzRFoVgQeRQDKqtAef11+FlW1VozQpSJiYm/Y9RiIqUs9fkUAMKYgZIBZ/j2eycLt+6/AyUJFZVo3AcjQpUdiYk8H9Oj/KZZ6mSehWjsAqxKAiMLY2bB/FAGYV9CNJYDCWEy1fxQBmPtZe/iJFNMRH7YEo5k83wXfncyD/IiylLs1SI+YysRu/acugVdjCICZBW9AXBaJ3xp/cAJoPHb8To6A1RGomwCqkBkxCQ52zlAlkRinrlXyW1iaUGxqX82VuITyhGXo1W02Nh0/jD3R0dgTdw5ZpdUCFZNYo/YquxgJS9+CXffvkFBpkl08tJqv2QYzLDXrNX320D3m68zvdZXx8GeK+OqvmBZ7r1ocAjkPcXN7w+6dEKSSnruxBCAmI6C3PRymxdaQ94sojluAbnZuCEllWghzY3/1LutuInJiL0UUZVDK6rYwHuW1rzTtDrovTYAyfQtQxrluEZCYGoJ37PpgYXxR7ZKa/D8ngCZDyAvgCFgPAWVi6IM5EQlISkrCxYQYhC0di5523dF/xSmUsLm45iQpQ5+kwqt2r2Ja1A1odGXIObsOE3vaQxEXyahKDsQAe7JYWYDlbCWpQkDYgWrxRd07gHIkqQbArtssRGWWQae5g7Nrp6BntTinZhvMeFieABQFdnfY9/8OMddzoFbn4HrMd+hv3xPjItIVvYCcgQi37rBzDURiThZSbxXVYXWkR3bEBNjZjURAYiayUzNRJJQp/hT2LlgacxW5ajVyr+/F0v7d4TAuEplmWb65e5CgSdqOtbGXkF1YglL1RYS594L9uCjkyGVIUjnDzn4Ylh9KQa46B6lHgzHtw5+QXqXoRrpN245MTRU0OaewlnZs5h3MQ4QOwJiKMLc/wN51JQ6lUp/VUGenIGHPPpwz7dqqm9TAE04ADQSMX84RaE4ESuIXoyezyCGrHHrZo0f/6VDFpKCEMgGxoxLJAc6/eI4Kd3H0WxfYm+6z7zsBn47sBTMBCOpD+KpvD7w39TtFprz8C0V80esrxBUIJiVx7R0AmS4ewbfkf8DK7Ya+kydjZDezaKRWG1i7FAJQLJWUluI3dwB1lVGbWERoUqMw9z1zOwiTVzFWdRzqajyMUB9ahL72CmYP1W9qBr3J6gOY17eb0h+T/kDWpCBq7oBq7AjvnmP9HmFySQQQiKHMOc9UV9/ZiLiuKMFlzVVETHvnl7Ls38G0bTeggx7qoz+iv6l9dvbvYPKnbuhWTQC1cSDsj2LF0F4m7M11LcIh9S87txpdq/cpJ4B6Q8Uv5Ai0AAKyDqV5amXVp1Yjr1T3i+ijRnNkXSnyijS/rHRlHYpuXUVSciaKdCIEzQPTvabJpV8gkpnJoVLIQ6t+VucDaKon1F8qknWFuJV8Ccm3CqGTBWiKClBqsgz6VRsgQVdagCJNDXcsVvYv9/xSsnL26zJk1nZ1zb7RpUI5clMvIynpKm4V1YWJAE1uKpKSb0Fds/6HKqSy7yI16SrS1TWwg+nepCRTPx+6qdY/VIYa6clJSEq9g5IaVlLsQvM4JKXidknNdkrQFWUi2dx+QYOivNJqy6Bf40B91kCdfhVJSZeRml1Q5/jUatxj/+UE8FiI+AUcgbaEQBVSQ9xg5zAOqoNnkZyejtSk49j2lTPsey1BfLHZWawt9Zn35VEIcAJ4FDL8c45AG0WAxBzbl5IXsCJKsLPrif7TfE1eqm2007xbdSLACaBOWPiHHIF2gMBjxDHtAIF230VOAO3+EeAAcAQ4Au0VAU4A7XXkeb85AhyBdo8AJ4B2/whwADgCHIH2isD/A7TNydJvx9/OAAAAAElFTkSuQmCC"></p>
</div>
<div class="specification">
<p>It is given that <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>u</mi><mn>9</mn></msub><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><msub><mi>u</mi><mn>1</mn></msub></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><munderover><mtext>Σ</mtext><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mn>9</mn></munderover><msub><mi>u</mi><mi>i</mi></msub></math>.</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"><msub><mi>u</mi><mn>1</mn></msub></math>.</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>A game is played in which the arrow attached to the centre of the disc is spun and the sector in which the arrow stops is noted. If the arrow stops in sector <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math> the player wins <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math> points, otherwise they lose <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math> points.</p>
<p>Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> be the number of points won</p>
<p>Find <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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,iVBORw0KGgoAAAANSUhEUgAAAtwAAABLCAYAAABDVVC7AAAgAElEQVR4Ae2dDXxU1Zn/fwyutRpelmLLBCyURCItUWuyaCtbJyCJLAUpEbQqE0y2QoWKZWGyoWDVKiyZ/ENR6aLsxCRUlJfJYqmrCSakXaglnVAwWSFpwkJJZuhikbxY5WXm/D/nvszcuXNn5s5kJpPIk88nn7kv557znO95zrnPeXvuEMYYA/0RASJABIgAESACRIAIEAEiEBcChrjESpESASJABIgAESACRIAIEAEiIBAgg5sUgQgQASJABIgAESACRIAIxJHANcq4hwwZojylYyJABIgAESACRIAIEAEiQAT6QICv3vYzuHlctKS7D0TpUSIwCAjwjvVgrueDWf7BLDtXbZI/cRWc2CeO/WDXfdKdxOmOkj0tKUlcOVDKRIAIEAEiQASIABEgAlcBATK4r4JCpiwSASJABIgAESACRIAIJI4AGdyJY08pEwEiQASIABEgAkSACFwFBMjgvgoKmbJIBIgAESACRIAIEAEikDgCZHAnjj2lTASIABEgAkSACBABInAVECCD+yooZMoiESACRIAIEAEiQASIQOIIkMGdOPaUMhEgAkSACBABIkAEiMBVQIAM7qugkCmLRIAIEAEiQASIABEgAokjQAZ34tj3Q8oetPxmE+4YPgRDhnwN37O8hN5+SJWSIAJEgAgQASJABIgAEfARIIPbx+Jzd/TpJ02YNW8D/tgD3D/7a9hrfRKFL+/83OWTMkQEiAARIAJEgAgQgYFMQJ/BfaURJal8lDT0f2pJI64M5NzGXLZutNbtRMnSLWgcgBk/c/S/8b8XzuGtgwex99c1yJmahg8bfq+iwPNQhbLCHF/5JuehZE89WnuvoPu/6/FHXXm7BFfjdhQWvgWXKoXA0ytwVT2LwooGuDyBd+nKQCfQjdb9m5CXLLUHWYWoaHQhoCg9LjRWFCKLtxvJedjUoBEmEVntbcX+kjwkC+1ZMrIKt6PRdSmEJJfQWbUcyTllaA3IZIjH4nLLg97WapTkpUv1NSd4PequQ6FcRkJeF6Ks9bO4SKU7Ul3s1XlMR15JNVp7Ew1fLVcw9lJbmJUslFFy3ibsb+3WjSieAT2uQ9gk607WGlQFyKU3j/GUMkjcenQnQOdlmyUZOWUnAtuoIEnF/nIkXD9CXWGm7308JNGycxr62/yGTXLbmoPCqhMDY1Zdj+7wbPa2oq5qB0ryclBY91HM1UCfwR3zZD8fEV5pfBX/NOMhrH7v0wGZoetvShfk2vnu+zj6u71obf8rRo3+e5+svc0oy7sbaTOWYzsehcN5EYwxMOc2PPK1M7DN+SpGPObQ0Uh140TZD5Gx6iRynpoFoy+FIEfXwDjvn5HTsg4Zj1XgRMJfpEHEpMsaBC6h863teBuzscXJwNxOHJ57FkWZP0Bp4wVF+AtoLH0Cq1ruxQ43g7vxUZwrfEIVRhG8vw49p/HWtjpg7ktwMga3czfmni1G5sNb0BhEDz2dv8bTy7fo6EjGPxOeznex7W1g7pZjYOwinIfn4mzRPDxc2qB6sV1C53tV2K7s/Wbfh2mp18VfyGAp6GTv6dyLFaZVaLrnDfTw9sj9LvLOl8L0s3ok0mzVx96D3sYtWPxiN3J3nAJjXai7pxl5pjWo6gzVqQsGLYbXe49hb81QPPRak1RvO7Hc9G+o6/Z1ZPTlMYYy6Y1Kl+540O14z1/nvfFPw4PTJiBRBk8kXD2dv8Xr2xu9kgOJlR3Q3+b/ce8h4KFtcMpt0/JH8bM4GK4KOOEPdekOAM8JlD20FhX2DVhd+dfw8UYTgin+AG5vhf+77LCyFIAhxcocl8OH/7yGGPgc3Kxk7aOMlyv/N6amsxNnzojF0dPEbOYpDDAyU1ENc7o1SqnnMLPOLg1TxhdZh30ZMxqXMXvHRY1IQlxyn2L2/CnMmG9nHVrph3iUbkVPQG8910zBfZIdOPBn5ldc7uPMlm1kRkst65IecrfYWLaxiNV2ySHdrKu2iBmzbaxFvqSZQPiLfZHf3XaQHVDpqSArMpil9lxg4rwOmFcwC68rCZadsU9Z24H3VXXlU9ZiW8Dgx5oxxuXOXqfgH5i1aK7En712fgL1KRrpmdAORvekTvZCXfi2vy7J7ZyifkQjQ1/Ya+pOVy2zGJV6rzOP0QjPR3J02hda0eurt+dYrbWU1TpV7yGez9mJbHci4foxc1jN/vqjBSTCa31hz/S2+QFt6zlWa8nwey9EKLY3eF/k16c73qRYyPeBL5juI6Xsse/w8SH5MmkamU9jZhWirK7VN/riXZ6ShZK6RsXUrjz9oJy6UE/3nkFVXiqGDElFXlm14ll1ON714EslylAoTesNGZKDwrI6/2lJVxXyuIypz6Kq+llx6nuIPO2qlEOclkrOK0GVMHXOl0Qsxd9lrkY7T6p9NTL/bgjEJTUKGavO+PpA3nwvRZWLr9EQ4+DLdFL/bQ+q10hLOuRp63AcfTGHODLgX362HWfOnEFLSwvaPziMtHHjIPRYa7ZibWUzeO950eJ/hFFLE5Iy8XjhN0OOCoijf1VIW2lG9thrQ8iicctwE+59ZA5Q9lM8vfe0jpF0jTjoUv8SMHwNJtNN/jphGI0Jtycr5PgMbQffRU16KsYlyYplwPDMe7Go6V0cbEvcsgZDyt0wqfTUMGYCbteclrmAxq07gCefQM6YLyjyl6jD65BiugtjZaSCGNdizIRU1aySB90Ne1Fa8x/42Qs2VCnb30SJDkAfeyk/rg9w5E/yeLYHvR1taF90LzKH+2W+H3Ojj72n7XfYWTMWaeOSfLIZvoIpd0+Ga/t7cChGk30B+uMoUH7P2VM4mvYIFk4dJQkQGAbQ0q/+kNc/DV264/Fg3PcKMN2ofA99htY9Nhyd/22kJkp1EAHX7iPYVVqJ4p9ZUVbFl3X6Zh/8ifTjma42X6N+ez7CqaM3YeXCOzC8H8VVJ6VLd9QPxek8tiroOY2qFbmYUVCMelng+mIUzMjFsrJmn9Et3KvH6hmZyF5dKU3V1qA4dwV+WvhDmLJXolKYCnWhvtiMOT8/qJpKbEdlwX2KZ8VwvmlhvuZyDUwzClBcL8+p1qC4YAZMy7YHLmFofwa59z0jymxMxYQxEJ/3yiFmxlW5GrlzXsDeGE8NthctwH0baoREjLdPwBhEwlEGHfx33LhxmDRpEr74xS+KgTwnUf1Klcg95DSzAcP/0YRvXhMs7gv44xtlKHMlY+odE6F4xcDjasRbVdtQmPOUdyrV49qPNbwDJHcqIBlhxmaUvVKLtgHQtgTLKV0PR+BLmHVniqgDnlM4uPMgBF0OaGEOYufBUwOvc3X9XbgzTfla4EsDKvEiHsbSDNkgCccgcfevn5WJNLlz42nFno3lcIG3i48jd4YJcwqrBsbLWwuRH3sDhk+dh5WmI1g9519QdqIbHlctSqq/ih1PTUvoi1tLdH7Nx17sGDQFBJQ7EW04dTbBy0oE2cTBqKIXXCjcsQwZst4EyO274Muj79qAOFLqjuHLmJSirMN8mcApHKy6EUtyJvoPEgwI4ZW6wwXinYOtKOYmC7ebcrOQNmetxjr7ASI8FG2+n0h8vXodyop+jrbCl7EyY6Tf3QFzotSdfhIq4HUYfboedNe/guVlzTCay3G8xw3G3Og5Xg6zsRmVa3egQdW794brOQyriQ8x1aB0+3V4/ngXGPsYDutsQRyX/Qj+pN64Z3oGtcKaY76O8WWY+eP1r2NXw3mg+yBe5GsujfmwCXExsJ4m2MxT4Kp8Ca/xMH5/Rpish4X1gu7WNbgr6ZRkkM6G1fGxsK7Z3WFHPk/D9T84edYD4/ytuOywIoXHk2KF4zJD26oMBLVN/dJTn8jpXEbruruACDmqYwt7/pcP8ZsaqSMyZiSGRasFV9pxYOvbADJx52RFpXJV4bHkTMzLfRzFNbvw0htH0dvbgNKH87DB2wGSpExKRlq6EahJ7MhnWGYUIDiB7g9QffQ+PJEtjXz3OtHSBKSnJft1woJHkMg7fN1nPY4uVc3Q9Dqw9UXgyaWZAzwP5+Go7sTSJ6b7Rr4NtyC/2ims03XsfRUWE39/L8eSrQ7VoEciufO0g7BPmoqVO3ajdGYDCiaPwNDFZ/DohqWY6jdymWjZefpq9gYkjUtFOoJ0KoXBHOXoawLyIGwqHIE0PhhV+VtUv38yjE6o85gAmTWTDKI7qrB8xqHqG3Nxr2pWSxUsAadaXK/DpPxd4t4Mxz7YLNlA/QbkLrEF3V+SAMHFJNVtvlcQvuFzKoalzUBB8a/wfvVhtA2EUXqvfPxAn+74PRKjk2hNLY3k/4Y/HXlfGDV1VS7G5GFDMWTIUAybvFgcrXbVoNqhNHQzsChvNm7hveukryNrdpoQp3HRI3jgFt5LHYnbskyiQRuQWgrMP8qXpo6uhXHqg8hblAGgEfYjp/HZn47Azu1JV5nQYAveVYalo0BYQtGI7dUfqEbMp2HR3FuFF6shKQnXe19Y25DVUYeqqm0oenQ5ygQbtQfnumI8JZ49H3O/yQ3Wa5CU5ImQYwCc/rtw7jSahDU1qiSN81Hh7TC5UF+6AStebsZ3hE1EDKw6H5NkzTPcgJFjrgdwBL9pPqeKiE4HPoELaHz1V7hx/WO6RsoGXH56HXi1YjTW+xnWF9C4rQ4T1y8d4Hnio/A7UHHjMizVGkUyGJFx/w+wsfYPqC1KR33p3oBBj4SWhyZ7USLDsC9hfHoerNzoqFmLJWv3DzCPRtrsDZPmotCSjJq1VpSfEJfEeFwO/Gd1I1x+S6wSRH74dGx08s3Ch1FuAYpzF2BFVbDlfNp5TJDk/smG0B1fQL60rQHfyLl1gM2MhON6LYwZ30X+xn1w1j4DkzyQ6MtYgo9CtfmjMX2jQ+zsly/iCgbTir3oHEiz17p0Jz6IZbMnBrF/jNNNijXLATFewNkLSm8ew3DjiMAd89ffOALc/Ar9dxPSxyu8beA6jLhxmPTIZZw73SaurQ4SievsBXyivBcw8sC9bhQgeWgyMuflIpeP1HpHZrXlVkaneRzMOAVUU++RctRMLfTFG0ZijLxm9ewF9ERZGa44T+IQT8k4CiNvUKvSSGQ8vhIWYVbgAibPXBhmhKodh07+31XmVjJ0MQ38u/zF8SZ2jfpnf4NPmLUAmlqcYUbPEp1Dbli/g1FFixWGtZgn+/jvY96AGxVT8ep1YNuuv0eRX2dBFYafGsZi+r8WwgL1oIdG2H67pMVeSpx7T1rxGvD9J7FKMDqWABvyNDyx9JuwgQkFZT8a09ftQM3KK1g7eYTgDrP00DF82NCO7AcTuY7YPwsG41TkbdgMW/Zf8c7hdu16GjSP/nH1/1kI3VEKIywn+TJyMgfYkjDdXK+FcfoyrLNAY5BQmdH+PA7S5qtF4J39vGfxim0BXO840DJgRrl16o46PzE6V1tJfYj2ixg5RlxWkGJ14DJ35+T334aK+Tf1IX7loy3Yf6xDsQ70M3Sd65ECGHDDyFHiJiJpqYe/HAysYr7/JqPrR2HE9T4UntY9WFFQBheyYbHtxl6HE+7LDliF9SNKOWJz7N/J6AeOw29FjjAjAKDpCJpD+iDuQx696ajLqw9x0qMDhoDg6qp5GtblT/FfdmGYgGkPTguQU9ik5Uq0iytZLO7q6k00z/ox8oUZNfn6eTTs+g9syJ2AoYLvar5h+kbMKG4EagqQNnQg+MTls6LcveH/Yta6R8RZQln8YL9CJyjNfzNfsLBxvx6MPU/4M7Tueg4FHWmYIiwh4UbHOuxzrAZWl2BXov2IcxHDsU+ahJmrKgS3k8xZgZW3DsXRloUofGDSwFpHHKSeCsUfLo9x15FgCYTSHf9nxOUkpgRutPWXRziLmGsSxqWlDZjleUHbfI2sAtchddp9yNa8l4iL+nUnXtL5rMw+pzAKmTnZgiHbXvoLVArTaZfgqpO8fySv8fP32bfkXKjZXom9gtP+S3A17ESF4LcyA7l3TMQo7g2Bj6y2V+DFSnGzpnfD3pDMMA7NFRtfjDfjzpy5uD/jS/jLb3+Nt7WWTwRkRDaY27H/7T+IUymeTtS99AoqA8JqXegPjqNhenKNtCa9SlxjrSUKl7uiPqj/4WuSJ+Ju/pzrPC58oh4m70Zr1Q4cufEemOBCzc7fhdkUmYK7J345yjXwWsLTtXgS8LjqsHnXdXhokWxse9B7Yg/K6vnHAsSGNt3PK4NUr0Ju0o2nxMq4ebtUhl3D5mCR19juxomK7ajvHiVOifoNFpxDrSUDyLahxe1Edf4tiTWceL3c/A6GPfQ9n7Hd24yKskOqpXKKPPc60ZZRgAcmBc4qKkL1w2Eo9rwN6UVHy0mVHAYk3Xwbpsqzcqq7/XoaIXv+3lm7ZB9m7rNgesI8rAQjxFl3+TY7y8EizKP8WPx/w+mOUoIBuJwkKq696GhLHxCdtdBtvpK9fCx5F1Ju6JZv9ftvJLoTR+GUzgSV/gKV19XHQf1Pe307i36feXzi/xRmtjWxHh7RZQezpvDrJmZ1CFe401jmsJqEsClWB5Ndewem82dmN6dIccpx+359/py72HFbPjN601eEMZez4z2SI2CnnZk1/Im7O+ws3+h7RsxDBjOZeNo+v6Wiv0ZfOFF2yS+1Ou1vm5hJiHMJszt5Di8zp31JQJ4F1no4MplFCjPb/6wuIh3nbtZzvJyZBZmmMLP1XdYic2EXmdNhZ9b8Fcx2XPasrBGl5H8ZkPPEfYjO9pZ5vv0Uc3vDiNzcziPsQIsiTu/9BczW8qlGInQp1gT01nPtdN2sp8XOLCajRj1UliHXhXleH+9uZw0rMs1jVsfH2tFGcLVv8nexFnsRM6nrJz8P6mdb9Ccb/L5+4fsmO28qjzO7JVuDvZFl244L/tHdTgfbu9fh9a3vdh5kpRZroH9i/WJ7Q/ZNfj3s3azHUcpMULwzmNiep8TAX3+f5NfB3guqp4XV7rYyc4qZlR52+vut9waK7KBPsgu+wDOYyVLJHIKf6ovMWfsMy1a+D7k4keQxMvEFnY3wEUVwPbqjCM7fK7Nj64e+T/z1cHU7mWPv21L5MMbcTna4tIitq+3os/70SXamp82X7B6ThZU7RH0X2vzsJaFtCEWRhTrsm/yR6U48/XD7felGb6YCDWEFKt7Q2Cy+F5rRzKw1LaKxzYPFxOBOYebd7zNHuZyO2mDkCXWxllqbwjDQCBPE4GaCwVnpe1ZQoj+zDslA9n7gQ6gQZsmwNzKT9bCYT15xvLIZmcliY7X/UyN1NGTjNITBzcUPx7HPBrdUZjwd+6u+vHLDg5fZ7gMKA1wKG/AjfaTC2wmRDBNkM4v9uFTmCsNeURm9UQkfXwhl7HhD0kGMCOit51rJaXdGpU6n2mBV1g+tstdKQMe16OUP0hkWjG+fwRoowgAxuKUPqPD8B/77Ojti50bqEOmuy4G51rrSP+x5h1/R/nLj229AQEsyfdeill8neya3Z7wNtNXqaEP1yc1DRS27kIRqEIrrhd3XKROC6M2jfpH9QkYvf+T11t1SzvLl97GfFNGfRC2/Xq7uDlZbJHemuc6/yWqVg1PRi94n3dHX5ive80L7xOW3+zoPfZCdPxo1exaJ7sj2i6J9Vb/TosiHUvYhUmaEMXTuzUPMWxyH1PsUNf+oTBZyKwGz/UAM14T3SagEPsxd8CxGdU45Nk4fnRA5PJ1V+ME/5OKdRbU4sXF6hLvBPeiuW4tbZuzDLPuvsW3++MRO1SeEYP8nOvDreWgmg1n+wSw7LxWSP7RuxvMusY8n3fBxD2b+g1l2XjKDWX6l7DFcwx1eYSlELAnwNbNvo8I+QfXBjlimET4uw9jv4rmXlwHbq/BepB8E8pzBe6/vA/KfxXPzyNgOT5tCEAEiQASIABEgAoORABncg7HUuMyeM6j5+R9w+46fJNh92bUYO3896p7/FJY129Cg1+MJ30Cy9nEsv7IKdZvn+T7aMVjLg+QmAkSACBABIkAEiEAQAoNsSUmQXNDlAUDgElyNO/HzXcPx1Mb7/d0uBkh3Ba6qF/Dznll4atFUGKnbF0AonheUU1zxTCdecQ9m+Qez7Lw8Sf54aXX4eIl9eEbxDDGY+Q9m2XmZDmb5lbKTwR3PGkpxE4EBSEDZAAxA8cKKNJjlH8yy84Ih+cOqZ9wCEPu4odUV8WDmP5hl54UzmOVXyk5ji7qqGgUiAkSACBABIkAEiAARIALRESCDOzpu9BQRIAJEgAgQASJABIgAEdBFgAxuXZgoEBEgAkSACBABIkAEiAARiI4AGdzRcaOniAARIAJEgAgQASJABIiALgJkcOvCRIGIABEgAkSACBABIkAEiEB0BMjgjo4bPUUEiAARIAJEgAgQASJABHQRCHALqOspCkQEiAARIAJEgAgQASJABIhAWAKMMVyjDsUv0h8RIAKfXwJKv6CDMZeDWf7BLDvXFZI/cTWG2CeO/WDXfdKdxOmOkj0tKUlcOVDKRIAIEAEiQASIABEgAlcBATK4r4JCpiwSASJABIgAESACRIAIJI4AGdyJY08pEwEiQASIABEgAkSACFwFBMjgvgoKmbJIBIgAESACRIAIEAEikDgCZHAnjj2lTASIABEgAkSACBABInAVECCD+yooZMoiESACRIAIEAEiQASIQOIIkMGdOPaU8mAk4DmBspxkwT3akJwytHoGYyZIZiJABIgAESACRKA/CZDB3Z+0Ka3BT8BwC/KrP0CtJWPw54VyQASIABEgAkSACPQLATK4+wUzJUIEiAARIAJEgAgQASJwtRIgg/tqLXnKt4pAN1rrylCYtRxVriuqe3RKBIgAESACRIAIEIHoCeg3uF1VyBsyRFy7qvpNzivBnrpW9Crl8IZfmkAD5gpcVUtFmfOq4FLKF8fjK40lSOWMUkvQGM5287jQ+NYOlOSlK9jmoLCsCnWt3XGUkqL2J9CF5or1KK4XC4x/jjXYf7gi9Y9XPPO4GlBR+GwEdeEMqgqfRkWjC4lbJs47IW9hT0keUgvroK2Nl+Bq3I7CLL6uPR15mw7BpUNgkUeOyDg5DyX7Ve2HFsS+XuN1raIQWULZpiOvpBqtvWGE7a5DYbKWLiQjp+xEv5ZNVMx6W7G/JA/JQp6TkVW4HY2uS30lGeHzHnTXrZFkULNciLLWz3TEx/XsvwRd5HlJDqqPOqKKNEgfdMDjOoRNctuetQZVCW7TPa5GvLWnBHlcp5PXoK47jP57WV1CZ9VyJPf7vpWPUFeYqd0Wh5MlmvruzW+sDjzoba1WvN91tjt+ySeKPRdC2b4PQXLeJuyPVIc9p1FVkNnv7aWAMEodiKqt9Ssz7RP9Brf288JVV+VqLJiRi2Vlzf5Gd4hn6BaA3maUPZaNzHmPYHVlswJJDYoLcjEjbQHW1HX260tdIQQdBiFwTZDr2pc96D1Rgccy1qEl558xz6j36Zsw76l/RMuqOXgsIfXqM7SW/RjPVpTjydWV+Jtm5jzobdyCh1edRM6OU2Dud5F3bgMeLm0I3Q70NqB08Ss4n1sON3Ojp246mvJysaLqdBx1/QIaS1fhxfNzscPNwHrewD1Nq2BasRedQW0OD7od72G7Zk99Gh6cNgExaUA12aouRsPMcxpvbasD5r4EJ2NwO3dj7tliZD68BY3hOhqq5Pt2eh6O6hrtAY/s+zAt9brQ0XtcaNj0A2TM2YlTEx5DfY8bzo3TMTz0UzG62wcd6D2GvTVD8dBrTWBuJw7P7cRy079FYOTGKAtCNJfgatiCxzIWo+rUTcir7wJzrsf04fo02NP5azy9fIt2GcZSTHVc3R+genuj+ioAI7If/DZSg4ofTX3XSKaPlzyde7HCtApN97yBHsbENvJ8KUw/qw8ygBGYYMLYQ2zfF7/YjVzevrMu1N3TjDzTGlR16u20X0LnXiuWlzkDMxb3K1HqQDRtrd68MMUfAMWZ6tBpZ2aAAUuY3XnZd9PtZI5yCzMJ9xYwW8unvnsJP7rMnPYljOcLZjtz9pM8lx1WlsLTTLEyhwKVf/IfM4d1tiib0cysNS2sRwrgdh5m5ZZs8R4GGlP/XHx+zv7M7OaUQP3WzOA5VmvJYMi2sRa3ZgDvRXeHneUbp7B8+ykWJqj3GeVBX59XxiUfh6znciD5132c2bKNzGipZV3yNflXuPdtZqk9J19hrKuWWYyhdPZT1mJboIrvIuuwL2NGYxGr7QpPKSL5JcncLTaWrYpfZJvhL78vJ4yxc6zWWspqnRf9rgp5nB2+7P0fEs+ikZ2x6Ji52w6yAx3+sgscECrPWlL7rkUlf9cBZl1Xw5x+RetmXbXr2Gzb8TD1QmwnjeaX2WF1OfjE0n0UufzR6sCnrO3A+6xDmWehbvQze4GMm/U4SpnJaGalh51heGug7DnMrOYVzGKeoqvN04hBuBQ5e64jm9m62g6VzLz9XRLS1oiuvgeTXLweufxivYW63dFoi4KmnDD2jDGt9t19itnzp6ja72DSc73bzMwrVzKz0ciyw9b1YPEwwRYKflf7TnQ6EF1bqy2BeFWpN0H7h3oNdhiMyMgrQol1NoDdWGv7ndhz01pS0tuKujJ5SpdPLfIpzjLV0gl5La3keo1PhWYVoky9ZIX3vlrrvVOMwvS/ZjhlTnzTU/5TkoopT+80G4+/DmWF0rS3pqx8lFo5ZStNF3WFX3Tgaa3CmtVvA8iA5Zf/D6tmTkKSJKrBOBV5G16FPX+KgukFNJZ8V5qCl6cCeQ90kzRF/l2UNPxOclkXON3taS1DDmfplz/FVFdWISoaW9FQkiWkkVrSCG8u1OUWwPkMqvJSMWRIKvL2/B6NVdKUJZ/6zduChn6fwlaWeYyPBbeAt2JGcSNQU4C0cXJZaKTjOY29T/8UZWn5eCL7pqhGQw1jv4NHFn0BZcut2Kt7VEFDljhc8rT9DjtrxiJtnKy5AIbfipxFndh58JT2aLXnFA7uPIL0tGSvvgPXwjjlDqS7alWPqGIAABbrSURBVFDtOB8HST9D28F3UZOeinFJvibPYPw67k53Ynv1B9qjTR4Pxn2vANON1ypk+gyte2w4Oj/U6JoieCwOo2RmSLkbprFK2QHDmAm43RgLofTH4fnkJnzPMgNGH3rA04o9G9sxP+QsAW/fXsOq0gl4ef0PMNWvHPSn36eQUevAdUgx3YWxijx7zp7C0bRHsHDqqD6JFPHDvQ5sXfU6Jr78HFZMNUbYDl1A49YdwJNPIGfMFyJOum8PXMEn4+6HZfpYP5k9rb/CxqNTQ8yMRFnf+yasxtPXYsyEVBhdH+DIn+QFeR70drShfdG9yAw7u5BI9oBm+274CqbcPRmu7e/BEW45Ete7F4EnV96HMRp04nspSh2Isq3VmxdFc6D3Ea1wI3FblgkpAFxHT+Gs5hQtV56VmFFQjHpvFC7UFxdgxhKbNMXJG1gblswoQHG9Yh63vhgFM1Zia+MF6Uk+Tb8dy0xZWLC60jfNJYQzYU5JsCnt0TAVPIFsLqefwshTnkaYVs7D1OEGiFNBM1BQXCOlKclq+jHKTkiVh69NWpGLbK8MzahcfR++MaMI7d48ah2Ila6J30p5CAu/MzowkOEm3PvIHPB3o8t+BH+6MhIZS5+G1WQEXOXYuKcVHk8rdq2xoh5GmKxPY+nUu/BA4WIY4ULNzt+hzVsOkvLxiTipoov5u8+3lKW+GIvnFGLLHz/yl0XKo1+5CZy1lhC1o3LBt5CZuxqVUvG5KpfjzsW/jMBfdS8aJaNf6ETlbUPd/k3imkPe6VmzH64rnahbI3eE0pGnXnLh1wnyXzPq15Hwz6m+M8EtoJNPBYn/QadlPej9YxVeKmuGceptuFlh6PkS4p3LKpQVLkSBtJzC01mFguRkZHl1eBQyc7JhdFXhleqT2kasL8J+PJJ0ypiKCWP8jTrgokr/FGL1OtHSFLhARTQEnTh66qM45LEXHS0nFUJIh4bRmHB7cvA2y/BlTEpRLVzgDXLVjViSM9HPCAiMPIZXYs3s+rtwZ5oqXzEUVx2VwZiCFJX+85d51bhc5IRaTiK0b1uARbfB88YPxDXg/bXeX85ETHRAHEQqesGFwh3LkKFiIScVn9/P0LqrBKsxA3d7duMxYT+C3nXE/H1ciRfxMJZm9HMnQYBxLYyTxis65vwib3cOYdySGSGWk0RZ32NeAAYMnzoPK01HsHrOvwh2g8dVi5Lqr2LHU9PCLIlKNHuFjeLHRe5EtOHU2VDLSuTOghkZw4b6xdA/J1HqQKzbWlVmY2RwK2JtP48er6GnuH6lHQe2SiO6tedEY6XnsGhA1luxZlcrPPgbWg78SjDIjZZadAlGzcdwCKPnb2P1mirRcOMN8YoiwagzmstxvMcNxi7CWfsMTHChfvVzCuNcIQMAQ+q38WA2N1oVo2nedWLTsGjurUjCR6h/cT3KXFNgtjWJa69YF47b8mF0lWHtaw50w4Pu+lewvIyvvc5GUW0H3MI6yYMoNfOR6VB/Hnxy4bzYUbh7IpI1l/UakDQuFek8mvY2nD53BUjKxNKS1UIea9Zuhc32c6ytccFo3oB/X5qJJBgwPPNeLOJWes27ONgmbUYSem0HASzA8wXfxnDeaFW/iTJuFJueQa3zosjvl7fjzzuUa8l9efRxdqPneDnMxmZUrt2BBnUv11QEe0uXEF+HfZnQYUBNA5r/4h0vDwUGQBIyVv47bLyM+N/+3+PUTQV47Q925BtdqN/wQzw883482vkg3rdbYEQzKguewy5545W3E3QEs+yn4JZ1TCqj1lUZ0MQdRqrIb8u6nIKZd96s0bjyDb0WpM3IRUHxbpS91Yi/8EQMw/CVNKB+fzOcQj2S9UDdiYpcotg+ITVoqlHjsGkkJSMtHUEM8mTcPmF0HAzZJIxLm+hfJxSCGm+fgDE6W0LBUPzGXNyrGjlWRBf7w5gx4+uR63F0qRnZ/Sl/ABFuNDXgG498x28EWB1MHGFLwdSv34a7V1bAydvg569BabZy8EX9VPzPI9IBYcPlCKTxQaTK36L6/ZOh9zfEWnxpxM40dQpuu/tJVDh5+70KKH0MS7Y6Qssij1AK75ZYCxZlfEKHdyweuTfUjGHs6nuUUvoeS5qKlTt2o3RmAwomj8DQxWfw6Ial4WdrEs5efu8c1J6t1BxokbOt7CyMlC/282+UOhCztlY7uzpfM9oPR3TVMBoT7+GGaCOKZ2Qhr2QHqmo6cHNJI9zMier8W2DAtRgz8RviqG7xDNzCvZ9U1eH0zc/CyTc6VedjkkGe6uDW4gI8/5MHcYswYnAtjNOXYZ3wQZK3sfVAu29JhFJQwwRMe3CaIIc4lazYFCNv4LlyGkfsfKMGN+bSMUzY4T8CkwvKBCNZHB3/DGdPtYlGs3kJfiRNexmM30JBnjgyrUw2NscGJGU8Ji7fcW3G44+/ApdxGV5e/32JgTylzz/KIlcUPtL6DrbXuAA5f14D3IjsRQ/CJEzVKvnJ0v4NfzryvpjnysWYPGwohgwZimGTF4sj2MpOi/AIj8+MeZP46Nm1GPut6ZgpRxXJr+EGjBxzvfjEzNmYdctwGL4yHpOFS+1o+eqPULdlMe761p1S/Odwvkc06D1ttXhF6ASNxuTxX4Ih6evImp3GeyDYUHFYNGojkSXqsB/jdNOZEE9fA+P8X6CrtkjslJy9IHRUDcaZeK5kNeYpNgQZho0Up+Qi6riESDqRtwyTxFmYmk14oVzaZM13kv9nNRpcE/2Xp8RMzusw6YGlsBh3Y+0LO3FC2DDId9+/g+qGC6rlLaESlQzFnFs1OlChnuvjvVgx63Xg1YrRWJ9oA0owmr6MnMxQo6bSCJsxAznfy5SWowzHLYtX4/nsI77Blz6ijfzxCHVg+HRsdPINq4dRbgGKcxfEeXOwKkfCiN1ITM2ZhQyhnTcg6ZYH8ZPnp6F+dYlvoEL1GHABjdvqMHH90n4ekQ8QxO+C2NkxhVmOEav67pd01CeGYV/C+PQ8WC3ZQM1aLFm7P4wnp4HB3jBpLgotyahZa0W5NKvvcTnwn9WNcIUaaOl1YJt9PNavnKqanYgaYRQPRqkDsWprg0gce4M7ZRSGacVqGI95z9tQzpWOG7KrH0Fubi7mZSZjqNdd0rUYO+8n2FdugYkvpeDeT3JzkTsvE8lDc1BYdULokXt6zotLNlKm4raJyh3u12HEjcOErLY3ncY5zUzLBSEvK/lI2kE/BfnyNNW502gKtSbEdR4XPrmEnvNiCsYxI3GDNy0Drh8xCpK56L3qf2DADSNHiYbWoZNwag7+KqZ0UlIx/kZ5XHYkvjl3vrAshsdpnDUdd/qtbRyFqQsfEUfBhWUl59Gw63XUQ5E/zyc43847LOoRRR8/Ud5wRuMFnL3wqSJr12PMyBt8I5Q3jkc6X2cU078UzLx/uq+DEdO4YxjZlf/DyUNciUZizMgvBonYgOGTM8VOg3dm6AKOHfsK1i6c5OPofboFJ516XKh5H4jjgTSC0NSGjog8XhgwfPq/or4mH1jLO7PpyCt9D8c+PIp6uUMYD6mHm7Cu/l2sRInQcUzOexGHjjWjof4O/d5GdBmK8RA+Fsz4S/wdjCpanHADSp/RdMk3oKFEKg+YRKx3ykj6cBylDoj7cjbDlv1XvHO4PfTIch/EUz8qrBuXlvf57l2H1Gn3IRsn0dLh58xXCsJHKN+Effz3MS+hMyE+icWjCDo7sajv6uSjOeeeyFa8Bnz/SazauA/O2iXAhrwQnpwGEvvRmL5uB2pWXsHaySMwJDkPpYeO4cOG9hAeYsTOwvhls0LOXkWDMuJnotKBWLS1wSXVMo2Dhw565zOcPNYgGMGhpmeFRmdjteBepqV2L+z212Hlyy/qNyD3R3vE5SLCJsyNOMDdhbUcgN1ux26rGUbUoDj3aaFHbhg2SlgvjvYGHDupNEA+Q9e5HkHKlPTxuDGYvMLGrgxxWUlNteh2yDjHN011w0iMEVY0mGB19PjW68rrdtlWzDdeh2GjxBT816178Leu80HcqMkCydM1fLlIBX7xKw13aJ4zeO/1fcLosjH3Dtws29t8I97GTfCuLC/7KZ7eq3zegKRvzsIiviSDLytx/D4wf4YbMCqFZ1C9ZtbHT5T0ixg5RpwSSrE6cNmbf2n9MmtDxfyb5EwNiF9D6gwsETabfoTjp/8KT++HOPB2i7jsJ+9OfGVASKkhxN/Oo+tvV9Db+F84dts/Jdwo0pBQdUl+aasuez7CqaMXQjTIPPxwTJr5Y1Q4uR41oWLlPwBHe2EpnCvMYKlijNGpAUmTcrCqokmoz86K5bgV/4sWy1I8MEnZaQ+enD5DMfjzfbvTF2aX0PnWm2ie9WPk39J/a7e186vXaAqzVjTUCJt2wjG52icdkDsLMZFEXySh90YEm1HigzT/gQ25EzBUmN3l+2Bu9G0UHxq4KV+fNH0MFVFnp+/1vY/SCuvNW3c9h4KONEzxziKvwz7HaiDo7MIAY580CTNX8eVcDMxZgZW3DsXRloUofEBrQAhA9xHsshYhd9wXfL7TR8xAscuFmoLJGDpEr9/9vtMHotWBvrS1oeWOgcHdjdb9/44X1u5WrBEOTFTcDMYrbg7W1PUgdfr9mD//AXz//nvEkV7+iOAgnX8Ahm+Oq0VPqgnz58/H/O/fj1nSkl4ezLsOm3tFUU4R123Bz7j3CMzG0qyUEGt15VHgRhQvMKPY5dtMKEguG+SoR+mLdnEK2uPbqCd6OFEYHDU7UV4v+sv2uN6HrUI0lAMp+K4YJs3HemFtejPKch9HUUWDd5pJcLpe9DhyhaURs7Fy4R3SFHY3TpQ/J64bN5qxYQPviDQHerDwNuwHYSvcIPgRljdLChJ477tQs30n6gUvIpfg8vKT5ZQ27PF+QekvUClMK/Fwz4qeUbweT+TwA+DXMB7zN9tRa/snnOQvjGF3ovSrK2F3lON51W73uEp7zZcx8W4+vK+eBVClKs8C8FmTsw7sOpaGhRnB1r2lYWKyPuNQlUpcToV6mP4bf88iwhR2JKPGnahbuwrbZ27Cuukam4fjIjnX4Y1Ysv1b2LfOpHN5iF5DMS4C+0fK2yLdzHhey7Br2Bws8hrb3ThRsR316v0X/qnE50y30STvRzmOQ81/UWyk5XsHOsN06OIjurhhrwHfiHpJEZe9C7PuTOm/qXbhXZaMpkMfet8v4B6+OtrQFHRGaTSmb3SoBprOoZYv18y2ocUtLwGNF2fteKPv7ERT37VliOyq1sY9A5Juvg1TFfaMf5wDkz2X0ePaj7VL9mHmPktw/+3SEiqvUwFuqHfVwmI0Itt2HG62C/k6Bzj8ufT1LEodiKit1SGj0n+g0l+g8rpw7PXDzX1xa/1PYWZbk9eXNPOGl/12K/xOBzwv+ymW/IUG3BfTM+bbJb+mocIZmcl6WJIjhB9uyb+wmJfZzOr4WJFlN+s5Xs7MRo18GvOZ7bjkkVjySanNI5wfbsZYTxOzcd+mQfILZLMirw9SZZ4leZXpm0qZo8fn9FX0MSzLH+gX2f++FM44j5kfFuVJsTqY4EI8qIzK8pZ9WKcws/3PPo6XHcyawuOWdSBEefiekvx/GkUusv90wYctj8vnz1P0KcyvKX3bimWXX6ThN1qZRsCx5Fsbsi4GBIjwguSDFSom6li8jEzMbCn3K0M5qDefOvx+y8+E+uX6pvsvlB9uJumk6RnRV7W7g9UWzVbUP+7LlfttzfC/JiTexVpq32RWs4mZSw+qfDSHli4i+f2icrOelgNst9XMUrT8OgeVVfJJO3udLj/hfkmqTqKXnUcUmplYp5VtWRdrsRdJ30iQ6rjc1kSpS32TnzGuy7O1fLozyRe7Xzsm+2eX29yLzHn4ZWbO9m/rVIhDnvZJfl4XgumAWnfkc0slcwj+wy8yZ+0zLNtczo4r2umQwqpuRiu7qBe+9trtPMhKzQ/7vfMCdUeVOPdJr/PbA+on5fNo5Ref5+3pkiA+87V0hz8Vpr7Lgun8jVx++Z3tY8/r8HFbPkvx2jKh2khZsASz72lhtbutzJyi7cc9rO4I727fe1vOVSS/kbOXYw+nA8F0J3RbK8eu51cpu9+bV3kjICKvAa1quAFmNFuZ3aFyqO8NLxtbPEaeCRuzmCRjijf+Jguz1fo++iJWklpm8374haeXzSy2Wtbi11D5QBrll0hAXKEMPNkgQhBn/jx+fzmM5lJW06L6/EdPC6uxmpkowxRmtr7L/qd2g44P38iE5YJVGt48v3ZWq0yLO8AXuCk7FIyJys4Z+V8XPtrBG0jORvPlyvP3LrNKBr+Ytw7msJqEZ7wGNxeTVzib/HEjMKg+1MNYLA3uHq8MguwAS7G+yd4UPkoj656JWe026UNM8jVJz/w6UvI9/iuWjb8OyWUg/rqdNazIZGTGPrwUlTHKhrLmR2PkgF6DW2koyTf5L//4QxEzKjoayrvRHIes594I5XSVDAM7boxJRpDQOc1mlvLD/sazbHh4O8Fyx8bITBabv4570w59oE9+ZRyKvAS0EYpwAbL67rlbylm+Nw++65EeRS47T0EfM/8Xn/QikdtGv9/oX37RyS9T4m2uxc/Qk+9wPRI+fuRncPO7XaylplQa/OA6IxuwvicjOeqL/CF1IEB3RMPK+27ibabd4V83IhGcDxlG0lH2i9u/refv3HLV+9pfd/welk4SbPTxdj1/s+aARKDu6KzvWtkMcS06/heZ01GpsHk03kMBuqMWIkHsvYNcWvaXT8awupMQg1uvDqjbHX1trS/34Y+UeqPf4A4fL4UYSAS8I9NaL1eFUWtcxuzy1+i8Rn2YUdk+5VOsCCmao1x9ilh8OKjBzQ1HLRYxSDNYFEJDOoWpvzTmF1wwuNWdJWUIqQFQlpPydhTHygYgiscT/shgln8wy84LnuRPnPoT+8SxH+y6T7qTON1Rso/BGm4d61YoSP8RkL/wOSwdBZXNgHGxxgaH65GWNVfwBAPXFt8Gh2F3YjX/4JDxPtx/Z5y2F/Z+iD0V7+OeeK1jNEzCws0bYNZcI+dC+/lPFOtB41ws3DPPc88iH/vw+ntnpHT5LvRNyMraJHzsyXPyGOrveRm/DOJCydP5W7y+/SLyX149wDwGxJkdRU8EiAARIAJE4HNEgAzuz1FhClmRN+HxE/4Rmvp/1djgwP15L8MOh130EuNlYITJYkNt/XrMj4s7qEvorNmOQ7c/j+fnjddwe+cVJOoDT2s5cie/hDG/lD6uJHtWET6AMy/MZtqokw36oGHsPGyuW4UrlqexucHl+7hT/evY1dCGPx68Ds9unqfpQknYpPLoelx5/g1snh8fXkEFpxtEgAgQASJABIhAzAgMkaZKhAj5p7TFWcOYxU8REYH+JcA/orL3dby43Pd5eYB3JJ7FUwu/izkZxrgY+uEyyT3PbP/5Oxj2VBGynVswJ9MKWF7GK+vmYZLmp57PoKpwG3oW/hCLYizzYK/ng1n+wSw713GSP1xNj999Yh8/tnpiHsz8B7PsvGwGs/xK2cng1lPTKAwR+BwRUDYAgzFbg1n+wSw71xWSP3E1htgnjv1g133SncTpjpI9LSlJXDlQykSACBABIkAEiAARIAJXAQEyuK+CQqYsEgEiQASIABEgAkSACCSOABnciWNPKRMBIkAEiAARIAJEgAhcBQTI4L4KCpmySASIABEgAkSACBABIpA4AmRwJ449pUwEiAARIAJEgAgQASJwFRAI8FJyFeSZskgEiAARIAJEgAgQASJABPqFAHe5fY0yJfLBraRBx0SACBABIkAEiAARIAJEoO8EaElJ3xlSDESACBABIkAEiAARIAJEICiB/w+wD5j57i6KiwAAAABJRU5ErkJggg=="></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>
<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>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>
<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>
<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>
<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>
<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 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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>
<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 > 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mi>X</mi>
<mo>></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 < X < 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>100</mn>
<mo><</mo>
<mi>X</mi>
<mo><</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 < X < 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>93</mn>
<mo><</mo>
<mi>X</mi>
<mo><</mo>
<mn>107</mn>
<mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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>
<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 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>
<br><hr><br><div class="specification">
<p>A school consists of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>740</mn></math> students divided into <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math> grade levels. The numbers of students in each grade are shown in the table below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>The Principal of the school wishes to select a sample of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math> students. She wishes to ensure that, as closely as possible, the proportion of the students from each grade in the sample is the same as the proportions in the school.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the number of grade <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math> students who should be in the sample.</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>The Principal selects the students for the sample by asking those who took part in a previous survey if they would like to take part in another. She takes the first of those who reply positively, up to the maximum needed for the sample.</p>
<p>State which two of the sampling methods listed below best describe the method used.</p>
<p>Stratified Quota Convenience Systematic Simple random</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The water temperature <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>T</mi><mo>)</mo></math> in Lake Windermere is measured on the first day of eight consecutive months <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>m</mi><mo>)</mo></math> from January to August (months <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math>) and the results are shown below. The value for May (month <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>) has been accidently deleted.</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>Assuming the data follows a linear model for this period, find the regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> for the remaining data.</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>Use your line to find an estimate for the water temperature on the first day of May.</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>Explain why your line should not be used to estimate the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> at which the temperature is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>.</mo><mn>0</mn></math> <math xmlns="http://www.w3.org/1998/Math/MathML" class="wrs_chemistry"><mo>°</mo><mi mathvariant="normal">C</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>Explain in context why your line should not be used to predict the value for December (month <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math>).</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>State a more appropriate model for the water temperature in the lake over an extended period of time. You are not expected to calculate any parameters.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Arriane has geese on her farm. She claims the mean weight of eggs from her black geese is less than the mean weight of eggs from her white geese.</p>
<p>She recorded the weights of eggs, in grams, from a random selection of geese. The data is shown in the table.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>In order to test her claim, Arriane performs a <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>-test at a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo></math> level of significance. It is assumed that the weights of eggs are normally distributed and the samples have equal variances.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, in words, the null hypothesis.</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>Calculate the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for this test.</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 whether the result of the test supports Arriane’s claim. Justify your reasoning.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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, 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,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"></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>
<br><hr><br><div class="specification">
<p>A newspaper vendor in Singapore is trying to predict how many copies of <em>The Straits Times</em> they will sell. The vendor forms a model to predict the number of copies sold each weekday. According to this model, they expect the same number of copies will be sold each day.</p>
<p>To test the model, they record the number of copies sold each weekday during a particular week. This data is shown in the table.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArMAAABHCAYAAAAUe889AAAakElEQVR4Ae2agbEkt82EncdfTsClBFyKwIrAisCKwIrAysCKwIrAisCKwMrgMrgM7q9v5Xb14Tg75LzhPM66WbU3OyQIgN0AiH3S7z5lBIEgEASCQBAIAkEgCASBmyLwu5v6HbeDQBAIAkEgCASBIBAEgsCnNLMJgiAQBIJAEAgCQSAIBIHbIvBZM/v73//fp3yCQWIgMZAYSAwkBhIDiYHEwMox4J33F82sL+Z7EHhFBEjOjHUQCB/hYh0E1vIkubEOH+FibS7SzK7DTzy5CIEUpYuA7jQTPjqBukAsXFwA8oCJ8DEA1mTRcDEZ4AH1LS7SzA4AGNHXQKCVCK9xsnueInysw1u4WIcLPAkf6/ARLtbmIs3sOvzEk4sQSFG6COhOM+GjE6gLxMLFBSAPmAgfA2BNFg0XkwEeUN/iIs3sAIARfQ0EWonwGie75ynCxzq8hYt1uMCT8LEOH+FibS7SzK7DTzy5CIEUpYuA7jQTPjqBukAsXFwA8oCJ8DEA1mTRcDEZ4AH1LS7SzA4AGNHXQKCVCK9xsnueInysw1u4WIcLPAkf6/ARLtbmIs3sOvzEk4sQSFG6COhOM+GjE6gLxMLFBSAPmAgfA2BNFg0XkwEeUN/iIs3sAIARfQ0EWonwGie75ynCxzq8hYt1uMCT8LEOH+FibS7SzK7DTzy5CIEUpYuA7jQTPjqBukAsXFwA8oCJ8DEA1mTRcDEZ4AH1LS4ON7PfffeXx69GlPrn22///OnXX/894FZEg8C1CLQS4UwPiH/lRCsXPnz48HT9TF+++eZPn3744W9nqjxd1ww+fvzx7//FWFzUZ4ub0w/XULgyJ71c/PLLvx748vSh+e+//6tPf1LM//TTPz6b7335+PHjw97PP/+zd8vpctgGH3y5avTysedPbz5QK7766g976qavr8B3PeRZXFS9e+9wgu3Wh1qyNfa4fI943vJ1dL7FxenNLEZIBopXRhBYEYFWIpzpp5pZ8oBLpA7mWMOP2Q3Vyo2TcJnNB3bAe5WmfmVORrhoxbdi++uv/yh6H0+aWHQfvRdWaG7e4/If4eMzwHdetvJhrwHaUXva8gp818PM4qLaqe+zOHmPeK5nO/re4uLNzaxf1hQq/jKLoWe/GI4eIPuCwBkItBLhDL3SoWaWv07VSx0ZckP/ZSPN7DX/X+DW5S3Orny+SjNLrefjg3jnTiDH/K+2W7nge599X6G5eY/Lf1at2sqHWY3TM25bayvwXf2axUW1U99ncfIe8VzPdvS9xcWpzSyO6T8nYUy/wr3JZZ4PlzkBy4fEYs6LnwpiLZZHD599QUAIEGszh5pZigWx7Q0rucCcComvUbSUH8j4D0XJM6d8oSli3oeaZOVYbZzcBjKsywf0su5D/9nYc9PXz/g+mw98bJ2tdWG25lSL8LPygm4aNda21vc4QT9NoOvQf46n/sFRHS0/qsyRd3zoHYpFySu2eVdTqzXePbY4n5+59b8lcHZhIg4U7+gCF8ceed052CWuXUddRxc6ZKO1Lh95yhYxwsCWc4sedLAubCQrHFjn0ztG+OjViVwrH5gHV9b8XDoT6638qHPiBT34D9d7WIMldsRF5fsZ1qpRig3hIA70/tbnLC72/BInz+SQAT/FM7Fa94HPe8fzszOMrLW4OL2ZxSEBpgtQACtQ9VQBU+IAvoZ0EJAZQeBMBFqJcKZ+LlFsUDyIcY9hvjPHGjJqJMkBYl7v+s+y2it5v1j4zh4NdJBrutBrXpFfyOuCRY539DC0Ln088dVt+NpZ32fzgZ+ty7tewsjVOTBxTOEBXeKFJ/gIc/Gm2rfHiXiVPD7ABzYYWldcMCcbsvkQPOmfES7URMgP/FIsETf6zjp6dUZhyJPBOhiDlYbHJZzoDtEeeEEndqSDPXpnj/OEDP54LNeYwIZ8Vg6LZ96Rxya6GS7Pu7hiT8u+cACn3jHCR69O5OrZtXcLV3HDufBJPLCvzoEL+jkvn5a9it0e31XesUY/6/LxYfA/fYjiQXNvec7iYs8nOAHPZ0O8KbbA3fetEs/PzjCy1uJiSjNLYNWAd0cJMNYVfApMFRolPQSqcPj+fA8Cb0GglQhv0Vf3qnAQ13wU18iRG5rHD2QV7ypE0keeaK9yRA0BMsijgxzZ0rF1ackGOSgb8tv9YL8udO05+zmbD/xt4VAvYeTqHPscD2TUwPJdHLXq1FFO0A8m7GfAj1/KNFxquh4CJ/4zyoXjg0/CiidrDP/OO3J+Hua8MUbez+/r5AHDL+rHxH+4IL8YzpHWecpfcbMV2+LV94qXFteSQ7/O5rnFOvuFieT3nqN87OnTOn6AYR1buKpG1Pxgf52DA4/PPax7+K5+8u5YixvljOLJ62VLx8jcLC72fIATbNePx1KLN59bJZ73ztq73uJiSjNL4GPMA4kiBLgkuEhRM8sBtIcLVYHp672HjFwQ2EOglQh7e0bW1RTq4iW21bSqAKk5Zd6/ux3lAZeFZPwi9TkVb/T54GIh7zRY550Pa2Ahn5Bhjg9D+qtO6TrrOZsP/OSMjgNz9RKuc5xbtao+hRmXp2qXsK4XasVPcsIPP8QJTYBsaR9r2EOOD9+JjRljlAtvTPFLZ8c33olL/PfmhnmdsT6R52zI+KhcoVNxKjmf83um2hB2yGuNy17z6MPfev8oH/BFg0YMPXx0Lu2TPE8G/mpN+/ee+Ddj4Cs+16Fz+LzPVR6Qq3Otc6JjC+sevrHzDGt88DNhj7w8c8ziYs9Hx39LtiXjc6vE85b/o/MtLk5vZhVUGFNhA0jeAZcCzZN3T2zNEdgkA+sEb0YQOBsBYmvmUBOkS0wXJbGtv9rookPWv7tfyOMrOSUZvmv4XE8zK334QL6RX+SgNw7MYRO/WKsNg2yf+ZzNB776RSffwRLb4Kjhc+IRbPcGOsBUjS049nAiGWok++FIPGGfQR3FT61xFo+DPd9G1ke54JycmXPUWOFM+Kyn/MB/5rcGax6TyDkvvINVtedzxC52ewb7kOfs0sle5nx4vjGPjOIKHfDFu+8DG94VSx5rrnvr+ygfW3rqvPyu85yjYu9zlQf21zkwdAzcRgvrHr57sKaugTf+8MTWmWMWF3s+Ov5bsi0Zn1slnrf8H51vcXF6MwtoXhRUrEkQgowPwY6MB7zLsVYTavSwkQ8CWwi0EmFL9sh8vbiIbYorH11muhiRVbNCY+BDxZk5yZM/Gj7HPDlTdTCnos732kSQizXXdBG05GX7zOdsPvDVcZDvYIZtx0x1CGyFacVM+7ee1EBw1X7XX32hBiLvA77wi9jQQA6dyFZ5yZzxHOVCsUusVpx4x1ewB1cNnUPv9am41h9DWHdeeAcj9PjwOb7XuHbZ1ne3wX7ywAfnAR94VY77ucS332vsUeyN+oPtUT7c32ff5VOVaeHmc5wRnzymHTf0wYtjUG3w7nv2+O7FWnL4i4/OTcuH0blZXOz54fhvybZkfI7vK8Tzlv+j8y0u3tzMorR+SBQVIhU7l2Gd91qUAVtyFMeMIDADAWJs5lBRpUhrENteTFTAkWWocdU7lwV+qkGQPJeJRp2TDuUe7+igkDGw7znHPOv1klURZE26ZHPGEzuzx9bl7ZiALfjgj7gDQ/bqHTyQ0WWtJlO8sI5OYb7Hida1H95VHxULYCOuWfNG4mzcjnDBefHL/cUvmgnm+fiosc0aOKJHwxveFi/g+6yZhQfseryrGcVPPpxV+YVdxT32tF88Io9/7NG673cfFRvoZF4YwPXoOMJHjw180tlcXhg8mwMH4ernVo7UZnYPa2w94xsuerCWHs7mseRnecv3WVzs+dTipO5pyfjcKvFc/T763uLi9GaWICd4fah44YDW+U7Q+VCxYe3sX1VuJ9//txFoJcKZiKh4q7ijm8Lil5maE88Vj3+KsV+0kufy0GjNYYfz8VGjxRwDW1wavi6bFDsNXR61WdD62c/ZfODv1uXtmCAjPJw7zQk35xE+wFlrPIW3cHrGiTcD7KU+yl5tWokJfPQYkI2znvgwOtSQt/Z54+PrnI014ca5PQYrLsJEvIBpjc86B7folQ3ktR9fWj74uscGvnJOdAl/9sOH9ONjbcqxo32u27F49h3dM8ZWPoAhaz7qnOOCbOUGnL2hR9ce1nt892KNHJjh89ljFhd7flb8W/ItmTrnvL1XPLd8PzLX4uJwM3vEgb09CkSAzggCsxBoJcIsW3fUy8WiS+oK/8NHH8qtJqFvZ79UuOjHqleSpuLonRY+elH+TY4fDGBG43b2CBe/IfqWeD6LkxYXSzWzFGucBKyMIDALgVYizLJ1R738peXo5XvkvOFjHzX9P4YzLmm3Hi4cjbd/54chuUROHRnhYww1/hJf/yo8pmFbOlz89r/NvCWet9EdW2lxsUQzS/OKc3xmBeIYVJF+ZQRaifDK5+09Gxcv2PBX2SP/SbTXTpULHxWRz9/1I/9oQ/S5tudv4eI5PiOrutdosI6O8NGHnP4iS674/67St7tP6n+dizPiuQ/pfakWF0s0s/uuRyIInIdAKxHO0x5NowiEj1HE5smHi3nYHtEcPo6gNmdPuJiD6xGtLS7SzB5BMntujUArEW59oJs7Hz7WITBcrMMFnoSPdfgIF2tzkWZ2HX7iyUUIpChdBHSnmfDRCdQFYuHiApAHTISPAbAmi4aLyQAPqG9xkWZ2AMCIvgYCrUR4jZPd8xThYx3ewsU6XOBJ+FiHj3CxNhdpZtfhJ55chECK0kVAd5oJH51AXSAWLi4AecBE+BgAa7JouJgM8ID6FhdpZgcAjOhrINBKhNc42T1PET7W4S1crMMFnoSPdfgIF2tz8UUzC2H5BIPEQGIgMZAYSAwkBhIDiYFVY8Db6y+aWV/M9yDwigiQmBnrIBA+wsU6CKzlSXJjHT7CxdpcpJldh594chECKUoXAd1pJnx0AnWBWLi4AOQBE+FjAKzJouFiMsAD6ltcpJkdADCir4FAKxFe42T3PEX4WIe3cLEOF3gSPtbhI1yszUWa2XX4iScXIZCidBHQnWbCRydQF4iFiwtAHjARPgbAmiwaLiYDPKC+xUWa2QEAI/oaCLQS4TVOds9ThI91eAsX63CBJ+FjHT7CxdpcpJldh594chECKUoXAd1pJnx0AnWBWLi4AOQBE+FjAKzJouFiMsAD6ltcpJkdADCir4FAKxFe42T3PEX4WIe3cLEOF3gSPtbhI1yszUWa2XX4iScXIZCidBHQnWbCRydQF4iFiwtAHjARPgbAmiwaLiYDPKC+xUWa2QEAI/oaCLQS4TVOds9ThI91eAsX63CBJ+FjHT7CxdpcpJldh594chECKUoXAd1pJnx0AnWBWLi4AOQBE+FjAKzJouFiMsAD6ltcHG5mv/vuL49fjd9886fPXPj1138/5r/66g+fzc94+fjx48MWB+P7KgMMwAW/+Pz00z/e1TW4wA/8Wn30+KrY++GHvx06DljcdSi/FFt61jzU+cBoa00y7/28Mx/UnW+//fN/c/3HH//+GZy8iyN/Ho3dz5RPeLkzF8ABrsKZOtEayHz99R8//fzzP1vLS83dmY96D9bccKBZgxPOu+o9tToXxDMxv1XvwZha1ao9I1w5b+/1vcXFm5tZlHpR0GX7v9zMqtkCm4rPe5Df0yC+h18tmz2+Ct9WUrZ01rlWIlSZVd85cy3233//10+ti+KXX/71iL+t4rbKGe/MB5eDmiZ4IX6dC9bqD20ubbhZcdyZC3An1sGbD9/hxwe5whn5+L3lMit9vysf4E8uKDc+fPjwaFY9N8BZPJETdW0lHvBlZS7AV3Hdqvf8QU3rrXuTPEEHQzny3n+Ee8Z/i4tTmlkCUSPN7KdHEQXs1ZNTnK30TDP7nI3ayCJN/rXm1Wi1ittzK9eutgrTtR4cs6YfC7oE0ELOE8MMNVWuHZ68XvraCt/vygXYgbtfwOKn/nDQHZVmdl7EgS2x5HWJxlbNrSxTm/iQK6uPO+QG+D6r9+RIbWbJGecJHqhR9YfgSvy0uHhzM6vmQ42bCoUKOgAALsYlwxyg+5zeeQIia+hAHx/AZQ5dujxIAOakR74gU8mBQMmiy4ue1rAtHVuFDpv65YI+5P1cOqtssb41dPFJtgYZZxAWyKDb/VLBYF5nQI49Xhx0JsfE5Sse+OtnlE7fX8+EL/Xsjgvye9ghs+crZxMmFa/q09Y753mVwUUNf3WADWvENLysPO7KB/GN755rWw2U8GcPubXquCsX1CZ89/oIxrU+M7cluyInd+fDazR12+8E1uBH9/mK+LtPd+Bir96Dt3Pi5/Pv6sN8bqXvLS7e3MwSnADEh6KuQsG7hpocD2TAwiHN6Z05/3BRo8vnSAoG9nzev8sf5GpjJjkVPsjVnJ7113w9i+T01AWls2recZAOnpxbMv5UoJHg9dySUyOuZlbz/vQGRnrUjB7BA92tpomzwINsuA98F7/IVWwkK+yQkZ49X9krrNg3Mtj7KgPsHGPORewKm73itgIOd+WDPMR3rxWqf6otFV9yyOXr+nu/35UL6iW+11ygnigXhO0eR5Jb4XlXPsBO9wyc8Kk8kAv+xwnet/ImXPQhsFfvW/nQ0gwXNZdacu8118qLU5pZDo1ygleFAtA01MQ4OGpeNad3QPSmGL2sMWRHur2ZVaJQ1NDBPuRV5NjDd4YuITXF7EVetiX3ELZ/ZB85NVuaY7/mWuc1NY+v+CMfmeCC411nEx74yDkZmsM+w5tZFQGf06UpW/jXg4fsCNOHsSf/iHP8l69VXDjtYee+okPv8gVb6MCW5qqtvXf2vspwPHUmxTXvcOk/bCSz0vOufBDrxKfnqC5w1QLHWbHrc6t9vysX4Eicez6ozlN7fKheqWb62mrf78wHWOouqTVI9x35wiCXkCGftu6Q9+bmDlzs1Xvw3bs3yY/K13tjX+23uDilmcWQGgwVEEDTABiMe1FRkGtO7wKagGYPHxUdNWrS7TKeALpQ0KU90uVP6UGOeSWW/K5P+Sifte5nZ651XsnyVDHFpvvtMvjGuhpS1tSIMs93na0GXvVHurCrPeioH+GhQqN1Lmsw2mry8Q0ZyfNE3nHqxc593cLJ+XXMer/j3ysMeIJrH2ADbhrgXuNDa6s878wH+aR8Iwf4VE6EM/mwV2Mk+17PO3NBfVIdIuZVczwfwFV1Be5WH3fmA5zhgLjnHHCj+073kHOje4ceYsVxBy726j33K3fzs4EO5+WZ7Huttbg4rZlVcKoZUWPEYVvNnYqOGh4VHgHtjaqAdRvodRklCfPe7GgPh2992IdN1mR7iyD5KJ8lp8tMSdg6r2R5ch754n67jHDsaWbr5Vn9kS7s9uCBH8JF2OAvep41tJwfeXHLHl3evdi5r1s4Ob+OWe93/HqFAQ4ei3CmuGo9XXal878KH2BK7m3VEdY8n1fiQL68EhfUnNYPOdUVauHq4658UIuo5Yp37g3iH04Yaly1zpzqV+rU8ajcinlphJOt+oQM2N81L05rZgHCmxhA09A8TwbFRE2LAlfNjoBWYJPMyDPUiEm3y6hpUtKwj+aKd76zR3oeyuwfbCIj27b02Vd8RY6klC7NMa9Gb6+ZRanOL5uOCXocM87JEEbYZwgPbAtHn1OhkC1s9ODxUF7+wabbKctfvII98uJKOO1h576iVO8tnDT3hfGdCfx6heFYbp1nr7ht7bty/lX4eIY1uae8vRLbUVuvwgX1htqhmuw4wAXnvOul7WdZ9bvqveMvTuQz/DCnobtJ95bmV3neITee1SBwBPOtexMu9Ae5VTDf8qPFxanNrIoEhgBNA/CYa30UzGrUBLQ3quhlqFGTbpepurk4ahNYZbDJkH+y/Zhs/IM+9FY9vKuZZltPM8u5W3rkk365tmQUcMKjJaMfDvgDXsgIR2Fd98m2Gum67jocnme+SmcvdtVXcdPyZY8v99G/o+vuA+5bf3Wq5wL/Hrm678r3u/MBF+QMOKvmVPyI1aPxWnXNfL87FzRExDx1RPWu4qV6pTpa11d6vysf6gVU/8GUHPF37kDniTW/t1biAV/uwAX4PfvRDN7eqwhjaph6MZ+70w+LU5tZQAAoSAc0DQo8IDPPBxkCl+8CUO8q+OyRvIqSmjfpdhklBnu4VLRHPsgv6XRCscm8bGtP64lN14UvOoPksY++Oq91Pd1n5N0nZDiD44ZeMNAQHszrDOgBS/zUwEfmHRM/Q8u262MdP9y2dOvJmvvKnopnD3YtX90XbMhO1S9f9p74dvcBf3vxxRmJBeJj5XFXPsgnfG/VgIo3F8yqF4P7elcuOINqB7nh9c/PR85wRn2O1hDXOfP7nfngx4L/8afeb+DmfNR7ayauR3SvzoXiX7HtOaBapTW/E5wDrfN81hQfwe/MPfhXx+FmtirK+/UIeDN7vfX7Wmwlwn1Pc3/Pw8c6HIaLdbjAk/CxDh/hYm0u0syuw8+wJ2lmhyF7bEhROobbrF3hYxay43rDxThmM3eEj5nojukOF2N4zZRucZFmdibik3WnmT0GcCsRjmnKrjMQCB9noHiOjnBxDo5naQkfZyH5dj3h4u0YnqWhxUWa2bPQjZ7bINBKhNs4/4KOho91SA0X63CBJ+FjHT7CxdpcpJldh594chECKUoXAd1pJnx0AnWBWLi4AOQBE+FjAKzJouFiMsAD6ltcpJkdADCir4FAKxFe42T3PEX4WIe3cLEOF3gSPtbhI1yszUWa2XX4iScXIZCidBHQnWbCRydQF4iFiwtAHjARPgbAmiwaLiYDPKC+xUWa2QEAI/oaCLQS4TVOds9ThI91eAsX63CBJ+FjHT7CxdpcpJldh594chECKUoXAd1pJnx0AnWBWLi4AOQBE+FjAKzJouFiMsAD6ltcfNHMIpRPMEgMJAYSA4mBxEBiIDGQGFg1Brz//ayZ9YV8DwJBIAgEgSAQBIJAEAgCqyOQZnZ1huJfEAgCQSAIBIEgEASCwCYCaWY3oclCEAgCQSAIBIEgEASCwOoIpJldnaH4FwSCQBAIAkEgCASBILCJQJrZTWiyEASCQBAIAkEgCASBILA6Av8PPr6i1KriPqUAAAAASUVORK5CYII="></p>
<p>A goodness of fit test at the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>%</mo></math> significance level is used on this data to determine whether the vendor’s model is suitable.</p>
<p>The critical value for the test is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>.</mo><mn>49</mn></math> and the hypotheses are</p>
<p style="padding-left: 210px;"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>0</mn></msub><mo>:</mo></math> The data satisfies the model.<br><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>1</mn></msub><mo>:</mo></math> The data does not satisfy the model.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find an estimate for how many copies the vendor expects to sell each day.</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 degrees of freedom for this test.</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>Write down the conclusion to the test. Give a reason for your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>In a city, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn><mo>%</mo></math> of people have blue eyes. If someone has blue eyes, the probability that they also have fair hair is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>58</mn><mo>%</mo></math>. This information is represented in the following tree diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>It is known that <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>41</mn><mo>%</mo></math> of people in this city have fair hair.</p>
<p>Calculate the value of</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>.</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 an expression, in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>, for the probability of a person not having blue eyes <strong>and</strong> having fair hair.</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><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>.</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><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.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> 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>
<br><hr><br><div class="specification">
<p>Karl has three brown socks and four black socks in his drawer. He takes two socks at random from the drawer.</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,iVBORw0KGgoAAAANSUhEUgAAAucAAAEyCAYAAABZHH7JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD9ySURBVHhe7d0NXFV1uv/973Aca8Q4po2aFFlBJk6KWjSpd5Omg1l5SM6xMhRLavLYmDqeIWHydNf4wBwTs7GsqXwiS+4Redmpv4SlzZ01oSJWkooWUqhlmkPgqNnmv67lAhEfUvNhP3ze8yL2Xr+1F85em72vtfiu6/eTGocAAAAAnHNh3ncAAAAA5xjFOQAAAOAnKM4BAAAAP3FY5jwq6hLvFgAAAICzobz8C+/WUYrz+oMAAAAAzpyG9TexFgAAAMBPUJwDAAAAfoLiHAAAAPATFOcAAACAn6A4BwAAAPwExTkAAADgJyjOATRQqdK88eobdYnb3ql93wT1cr7HZRXpgLfGyfOpqrRAWVlLtN1bcvZ9rrzUjoqKm6qiU/8/Ar90QNvzHnJerwnKKqrylp1tvL4AnB4U5wAOV1mk2eNe0pbB2fq4/At9siRfbzvfi0d3USNvlZNXoaWZv1PWur3efQAAcDQU5wAOt2e3vqyWzrsoQk28RQAA4OygOAdQ50DRVMXFP6Q3ndu7svrriqiHlLf6/1NqXazlUHwgNTXBjb1ERd2j2aWV2l70sjL6tvOWXaL2qdP1lrPc2aiy4m7QyDd3SW8+pPhjRQ9821U0L6MuThMVFa/UrAKVVvlqV1BV6XLNzri93s+Yqryi7c5Irf0N/h3t1DfjZRVt3++N1+esu/yPzs9z1hn/lrYf2kjI8m1fqXn1nt+o9sOU9Vap6vZWw33UcNwcsR9vV8a8lYee36pSLZ/dYBt5Rd547etrqLNsdr396Gwjb0O9n1Op0remK7W9t42+GXpl5RZv7Bh4fQEIFDZ9f61LL430bgEIWdsW1Qxz3gs6TV1d890R979z7o5w3yuuHja3Zv23/6zZtubjmi/Wz6q5/dKrahKmFtZ8a4/59uOaWcOuq7n06kdrlv3je2dBec2iYdfUXDpsUc02Gz/CP2s2zhrkbDexZurqb5z739d8u35uzbCrnZ+TvqzmH7akYlHNb+y++3OdbX5fUbPs0dsOf8zqp2oS7N/x6NKabd8f2salt8+q2fi992/o9GTN6u9qx2rXtX9DiPt+fc2s26+quTThqZrV9vw6z/r6Wb+pufrS7jXpy3Y497+pWT010dmn99U8VbjNebb31Wxb9oTzfF9X85tFW5z7xlvn0ttqHl1W4Syr3cZVNbfPWl/z/fdbahb9xl4Xv6mZtd72au02al87h15flyY8WrNoo7NO3X6u/Xfsq6lYNNLZ5m016YvWO4+p3YbzmEt/7bwW3FdgA7y+APivhvU3xTmAw51QcX5NzbBF5e7qNXXLaouno/mh4twbryvmG9pRsyy9uzM+smZRxT5vmePbwpqpCU5B6RZHtescaxu1xdOfapZ9TOF0BG8/1xarDX2/8eABmFtke8sO7RfvOf/Hspr0egXv4ZxSfdmjTlFdv5g3tQX9oJpZG7896mvp4M/2XoPeQcThP8P7dxyzOOf1BcB/Nay/ibUAOAUXq0PUhd7tRmoZ31v9wss0b3iasnJf03KLs5yUVoq/rafCq1/S8DHTlJv3t3pxA4dvp8o+2iHFdFaH1o29hY6ml6tz159LpZ+qYvdnWvN6mbPOFYpsepy3tl1Pacgt4/Sm7tQjY3uqNe+CB7Xsotv6tVH1vN9rTNarylteP65yQF+tW6VitVXPjpH18pDNdPV1cVL1B1qzaY8ObCrS69Xhiom5WE29NQ7Zry/LNqtaMfplh5b1thGh6M7XKFxbVFpR+xPDdVHE+d5tKeyCZmrp3dZXn+jd4vPU/bornUfW8v4dx8TrC0Dg4G0DwI8W1qa/piyer+lprZU/ariG3BzbIEv8QxqrTeITWjz3z0prtUyjRg7SzbFRhzK/vmp9U17tFJDNdMFh71rnK+KicKc43KXd1d4POmKdI4XHdtBV1Qs0+cXVh+elQ1lYlBKnvKy503+jVvn/rZFDeirWzWXnqWj7Hn27+xtnpXXKSry6LpMdFdVW8SPzDj6+znnOLmhylA+XA/r2m6+d7xeq2QX1+/6EqUlEM+dRlfpy9z+9Zcd2YOunWuXdPqSRLoq6Qs29e0fi9QUgcPzAWwwAnIgwNY25UYlDJ2hJeblK3srW4wO+UtbIkXr6b1aQnYgIxdyUqKETXlN5eYnemvtHDfjiOY285xn9repnujDKKZK+2q1vDyv296rya6eoCm+uZuHe29mqT7X1eH2mw+/Tszmv6E+jY1WSNU1/LaW9Y52mMbopcZgmLNmg8pJlmvt4H32R9ZDuefoD+ZrZX0p+pcff2uTsny8afOVrdJfac+W7tOqzHU4p3lAjXXDhRc73b7T72/qjPu2p3K19zv5v1exn3rJja9TmCl3rrP3V7j31LtQ8oK/LP3V+8vHw+gIQGCjOAZxmVqjfpKG/HaZfa4c+KttZr4g6UVZIJeu3D/aRqjerbMcFanuNxQvWaF39zhhVn2nNaosjXKHIZper861tpX27VbnnOD/xvGaKaNJccXemqF/4O8p8com2nvw/MPhZoT70QT346+aq/qhCan+t4rRKuSu21Nufe1U6+x4d7NizV42iu+hWp8bd93Wl9nhrHNJYrdpeqXCV6u/rvqq3jUptWvORqnWZYiKPDMMcoWV79YhzXgql2+qdld6t9SuLvdsngtcXAP9FcQ7gR9qvrXkPq/1h7e4qtWHJEq1QrHp2bHXojcbOOu4uV2nD1nO+cuU9GK+ovuOVV5tXr9qgJf9bKMVer44Xt9GNI8aqnxZq3PgF2mB5Yd9WLf/T48oqidXoxxIVE9Zc1yYNVKzFCaYsOxinqVqn2anOdtuP1/LKwyuksDb9NH5SkvTGRD2+uPwUDiCCi29rnh5sb60B87w8ts/ZBcv1vyv2KbZnB0XG9NJ9/f5VxZl/0p9XWnvB/dq+crYyM1cpdvQo/XvM+U7NG6ekB65T9bwnNWX5Vmcd28Y8t+Vh+4y/STemalI/5ykfN1FzN9h+tnaDf1Z6VsmhbfyQsMv16/v6SpaNn73Oeb3ZNmZq8rwyb4Wj4PUFIJB4F4a66NYC4PDuLA3v13ZmadAV4/ttNasXPXmwrZyzrvuVkF4zd7W13DP7arYVPuuNH72ry/fbVtcsmnpfzdW1j7eWdenZNau31XbP+L7m243LamalW3u7g+tcPezJmkV1P8M4P2d1dk26ddio28asmmXWkq+um4a1uju4dl03jrr2gaHMnrtFNVOtBWbdPritJn1u4aGOI7af56Z7bQuPMm6Ots6sZTUba5/fbzfWLJtVb/zq+2qmLlrtbeMYr6+Gr8maf9RsXPrUoddbwu9rprqvi2N1a+H1BcB/2ftJfT+x/3h1unuBj+UHAQAAAJx5DetvYi0AAACAn6A4BwAAAPwExTkAAADgJyjOAQAAAD9BcQ4AAAD4CYpzAAAAwE9QnAMAAAB+guIcAAAA8BMU5wAAAICfoDgHAAAA/ATFOQAAAOAnKM4BAAAAP0FxDgAAAPgJinMAAADAT1CcAwAAAH6C4hwAAADwExTnAAAAgJ+gOAcAAAD8BMU5AAD6XHmpHRUVN1VFB7xFAHAOUJwDQKjxbVNhVooif9pYjeyrZ5rmrN4mnzcMADh3KM4BIKTs1uqpE7TwsnHa8N1+7S9fpv+J+j8a9sv7NXX1bm8dAMC5QnEOAKGksljL/mWIHh1wtZo6d8Mu7q6HM0bpZr2pmcs2K+QTHfvW6a2sYWofdYmiotqpb8bLKtq+3xv0oi99hyq1bztn3Fmn/2yV+nyqKl2u2Rm3H1zmfLVPnaq8ou1yRlSUlaCo9uO1vLL2bxNfa3lGj8OX+TZodv92ap9RoA15DznbGKqsvNnKqP05UbcrI2+DszUAwY7iHABCScRNGjs63i3Ma4Vd0Eyt1VFJXS5TI29ZyKrO10sbblJeSbnKCp9R/OrHlTh0poqq6oV+Skqku3JVUrZKix/vq8u3L9bY/snK/HKgCpzHlZcV6tk2yzQycbieKtqv6M7XK7z6bRUU7Tr4+APlWvN6mfOzDi3zbX5fucXnqft10fpXd8lSZc38VNc9vdLd3tyh0ryRwzRp+dfuKIDgRXEOACHNp8pPVmtpywQlXNvcWxbCwpM06fE71a5pmMJa99TvJ45QbEmOFq7yCmtXvG7r205Nw1orLq6R3p0xRW/o0OMU1kY3/X68RseWKOuxxfoyrpcGhO/QR2U73Vy/77MPtczdXO0yn6oqPlWprlGPDj+3AUdbDX5kpBJjItzt3Tg4SXEq0+tryvnrBhDkKM4BIJT5PtfS+e/plqcf0E0Rwf+RsGtX/SL7KGI6q0Prxt6dMDWN7qiu4Q2K4uZXKOoi728Mvp0q+2hHg8c5ml6uzl2dQrv0U1WEXa7rup+n4tz3tdm3V5tXFKg47n6NvvvnKn73E32lXSoqeFvVcX3U/crzvQ2E66KI2tvOv+SCZmrp3QYQ3CjOASBk7VdFXpaeuzpT0wZcFtQfCFaUP/vss7rjjkRvyTG0bKYL6j8RTSJ00Xne7aPxVeub8uojH6fzFXFRuFS9S7v3tFCHHtccLNSrKlVRul1xA/5N/dpfJq0o0vrP16ogd4ez7AZdyacyEPJ4GwCAkORT1foFml58q2aPOTyDHkz++c9/Ki8vr64oX7Ik3/1+wvZU6ut93u2jCQvXhVFOEf7Vbn17WC/Kvar82inaw5urWZMmurJ7H8VZxnxpgVOIN1LPjtGKcZdt1qerP9FH1W2dZZF8KAPgfQAAQpFv21v60yzp3t/frIuD9JNg7dq1SklJUWFhoebPf0XDhw/Xz372M2/0GOxMdl1XFZ8qi95WrlM439o56ugXy4a1UNtrLL6yRuvquro4qj7TmtUWd7lCkZZfb9VW14Tv0AfPv6RcXa/O0U28Ze/osZGTVRx+cBkAUJwDQIjxbSvQY9O2a9Cj9+hqu4DRXViht8dP19t1hWngqqioUHp6uiZMmKBRo0Zp4sSJioyM9EZ/QPUCTc5crNIqn3zbl2nK5AVSv7EaceNF3goNXaQbR4xVPy3UuPELtMG6uvi2avmfHldWSaxGP5aoGHuKI36hPgN+ro0lG6QBvdTF8v0RV+q67gcvwg2vXQYg5PFOAAAhxArzPwwaqolTh+kXF55/cIZQ+zrvcg3e9wtdG8AFokVYsrOzdcMN1ys+Pl5z5sxRt27dvNETFJuoBL2om2Oj1Db+P1XYNVOLp/RXm+M8LWFt+mvK4myltcpRH+dxUW3jNXxrT03Pe1YPd2nmrdVcXfr0Urjzv5iYi70Y0c8PZtHVVgP6/EIR7jIAoe4nNQ7vtjvRQXn5F949AAACw9KlBXriiSfUr9+tuv/++9W8OW0hAQSGhvU3xTkAIGCVlpZq6tSp7u0xY8YoJibGvQ0AgaJh/U2sBQAQcKw1YmZmplJThykpaYDbJpHCHEAwoDgHgCBXlys/hS9/U9saMS6uo3uRp7VG7N27jzcKAIGP4hwAgtyB7/af8pc/ee+99+paI77//gdKTk7+4daIABBgyJwDAPyatUacMWOGNm3apIyMDHXq1MkbAYDAR+YcABAQLMJiWfJBg+52WyPm5ORQmAMIehTnAAC/Y7nyvn0T3NuLFuUpMfHg9PsAEOwozgEAfsNaIw4cOFD5+fl64YUX3Sn36VkOIJRQnANAyPKpauNy/XVKiiLd7iwPKnfbAW/s7LLWiDblvrVGtCn3aY0IIFRRnANASKrUxtxHdXuHezRjRw898/ct2v/dTA24uJE3fnbUb41ouXJrjXjSU+4DQBChOAeAkLNfFbnp6nnna4p6Ll+vZd6vf+t68Vn/QLDWiJYrt9aIxcUfurlyWiMCCHW0UgSAEOOryNUD8Xfp/9zyqgqfH6DIs1yV1065v3PnTk2YMIH4CoCQRitFAAhpe7Up/1XN/upq9Y7+SOmXHpwJNDJlhgq3ndlJhyxXbllyy5UnJCS4rREpzAHgcBTnABBKfGV6d8EKqcct6tXnAc2qqNLnK7LUe+lodRuarY0+b73TzHLld9xxsB2i5cppjQgAR0dxDgChxFetXZt3qFV8gu5wc+aNdXH8PRo5+tfS20v07qa93oqnx9q1a93WiJYrr22NSK4cAI6N4hwAQl5TtbniEuf7Du369vS0UrQp9601omXKrTXixIkTibAAwAmgOAeAUNLoMnVJ6qgvs9/SqsoGGZaW3dQlpol359RYa8Ts7GzdcMP1bmvEOXPm0BoRAE4CxTkAhJSLdNPIdA3VbD0x+S1tc+pz37ZlevrpVbrnibsVH3HqHwtLlxa4rRHtrDmtEQHg1NBKEQBCjs0MmqcnfvNbPfnuDud+T/3uhSc0anC8Lj6F2pzWiABw6hrW3xTnAIBTYq0R//KXv+iNN17Xo48+qt69+3gjAIATRZ9zAMCPUn/K/cjISLc1IoU5AJweFOcAgBNmU+6npKS4rRHff/8DJScnkysHgNOIWAsA4AfZRZ4zZszQpk2blJGRoU6dOnkjAIAfg1gLAOCEWYTFptwfNOjuutaIFOYAcOZQnAMAjspy5dYa0SxalEdrRAA4CyjOAQCHsdaINuV+fn5+3ZT7zZs390YBAGcSmXMAgMtaI06ZMkUrVryrSZMmM7MnAJwFZM4BAIep3xoxNjbWbY1IYQ4A5wbFOQCEMGuNaLlya41oU+7TGhEAzi1iLQAQgphyHwD8A7EWAAhhliu31oipqcOUkJCgnJwcCnMA8CMU5wAQIixXfscdie5ty5Vba0QAgH+hOAeAILd27Vq3NaLlymtbI5IrBwD/ROYcAIJUbWtEm3J/1KhRdGABAD9E5hwAgpy1RszOznZbI9ZOuU9hDgCBgeIcAILI0qUFbmvEiooKtzUiU+4DQGAh1gIAQYDWiAAQmIi1AEAQsVx5Zmam2xoxKWkArREBIMBRnANAAKqdct9aI0ZGRrqtEXv37uONAgACFcU5AAQYm3I/JSXFbY04f/4rTLkPAEGEzDkABAi7yHPGjBlua8SMjAx16tTJGwEABCoy5wAQYCzCYlPuDxp0d11rRApzAAhOFOcA4OemT5+uSZMmaPToMbRGBIAgR3EOAH4uLS1Nr732uubPn6/09HS3bSIAIDhRnANAALAYi7VJtFiLtU20mIvFXQAAwYXiHAACiMVaFi3Kc2/bTKDWThEAEDwozgEgwDRv3lzDhw/XCy+86LZTHDhwoNauXeuNAgACGcU5gNCwPU+pUZcoLqtIB7xFgc5mAp04caJGjRrlTtlveXRrtwgACFwU5wAQ4Lp16+a2V7Q8+g03XK/s7Gzy6AAQoCjOASAIWHtFy6MXF3/onj23PPrSpQXeKAAgUFCcAwgp+9a9oazUeHdGtqio25Uxb6W2+2zkgLbnPeQsS1BqaoI3fo9ml+6Vqkq1fHaG+rrLnK/2w5SVV3TwcQeKlBV3idpnLFelbcZULldG+8OX+Upnq39UD2UsL1JeakdFDZ2qvHn1ttl3vPJK67ZwyiyPbq0XLY++cGGum0en9SIABA6KcwAhpfrNxdrQY5ZKyj9V4dzrtTojWUOfWqkqb1xapxVKVkHJJhUuTlffy79S3th7NCRzp+4qKFG5Pe7Zy5U/8u6Dj2sUpc63tlV17tsqqnSrfB3YVKTXq52fVbdsrzavKFCx4nTd1Re66+jt5zRz/XV6uqRcZYVzNFQLNLL/FC33tvFjWR7d2i1aHt1aL1oefdeuXd4oAMBfUZwDCCnh/dL1+JAOaqrGan3TQ5o4OlYlz7+mVXVFcXN1v+0mtWt6vlrHtVeTd1/QuDekfpPSNaRdhDNe73FZ0/TX0ibq0qeXwqs3q+zL/c74Xn324Wq5ZXDdsipVlG6R4q5Vh5aNbMT5h9ypR9L6K6ZpmMJad9fgu6511v9AazbtOTh+mlgefcmSfDePHhfXkTw6APg5inMgRPi2rVBWSkc1+mlj56ujUqbka2PV6TlLGzjCFfPL9mpd984XoejO1ziFdf2i+GJ1iPLObmu/vizbrGrF6JcdWtZ7w/Qepy0qrdijiKu7qLtWKXfFFvl8W7Qi9yPF/fZh3R3+kd5dt0Oq/FgFuTsUN+AGXVm7kfOaKaJJ7Z1GuqBZ7c88/ern0UtKStw8+nvvveeNAgD8CcU5EAqqCvXUtI/UffIqHfiuSp/nJ6l83H36bc5GhVZ5fp5aNmtS740vTE0imjlLj+WAvv3ma+f7hWp2gXfG21X7uEp9ufufUsv26hEnlZZuU1XVNuf7NRrQv4/ax+zTipUb9XnR28qtvlYDul92Tt90LY9urRctjz5t2jS3Vzp5dADwLxTnQChoGq/RmQ8q/uLGzp3GuriXU5gP+pk+3rC1XtY6FPm0p3K39nn3jtRIF1x4kfP9G+3+tn539NrHRahVs58576SXqfuAa1WdW+B2SMk9r6s6Xnn1wWUffaLVn25WdXNn2eXne48/tyyPnpOTo6SkAW4ePTMzkzw6APgJinMgFFWW6oMVffX0yB5OeRlKdmnFys2Huqo494sK3lZ1+PXqHN3EW1ZfY7Vqe6XCVaq/r/uq3l8ZKrVpzUeq1mWKiWzq3PfWq35Hzz//mnRrF0U38pYVT9bIx95RuLvs4KP9Re/efdw8emRkpJtHz8vLI48OAOcYxTkQUnyq2pivKb/NlJ5/TAMi7Ux6aKme96Qy8zaoSvu1fflMTZ63X/0mperGiKO9HYYp4sZUTeonvTFuouZusLLeHvdnpWeVKHb0KP17jJ0Nd9br0ksDwstUUhKhAX1+4Rz0OMvcLLpp6y3zP5ZHT05O1vvvf6DCwkKlpKSQRweAc4jiHAgZVVo95WY163C7Hpm/TE8m9FJq7pYQy5yHK3awUy7P7K/YqCsUP+QDdZ0+T1MSo479ZhgWpcQpL2tuWgu92idWUfa44Z8pYformv3wdbLz5q6IX6jPgLbOjdqz6Q43ix7u/Nhe6tOl+cFlfsrOnlsePSMjw82jW+tF8ugAcPb9pMbh3XYnwigv/8K7ByAo+bZpdd7Lmv7bdL2s/9KbnzyhXkc9a4xQZhGXrKypuuuuu3XnnXe6F5MCAE6/hvU3n8hAqAm7WF0HPKSMJxKlr3Zqd3WotVPEibDWi5ZHN3fckUgeHQDOEopzICQ1Vuu2MWrVo50uu4C3ARyd5dGt3aK1XqzNo69du9YbBQCcCcRagBDk21agPwx6Snr0Of2xVyRH6TghdqGo5dGjo6M1YsQIN6cOAPhxiLUAIcenqtVZ6unODGpfkbp5Wpmun/IXCnOclG7dumnOnDmKj4/XoEF369lnnyXqAgCnGWfOAQAnzSYtWrBggV599RWNHj3GzagDAE4eZ84BBBXLQNPy70zYr21v/7/q+dOemrL6yHlkrXtLbR49Pz9fAwcOZD8AwGlAcQ4gINmZW+vFPXLkb7Vnzx5vKU4XX8X/6tHBE/T/e/ePJSYmxo23jBo1Sqmpw9x9YvsGAHBqKM6BIHUwX35qX/7MMs7Z2dnudPOWfbZ2f506dfJGcVr4tijvv6dq81UdvQU/zPLoti9sn9i+sX1EHh0ATh7FORCkDny3/5S//NXSpQXq2zdBFRUVKi7+0M05W7s/nE6VWj97kp67OlPP/fZab9mJsX1h+8T2je0j21e2zwAAJ47iHIDfsyyz5Zuff/4vbsY5LS2NGSvPCOvs86IefucGPfXgdbrAW3qybN/YPrJ9ZfvM9h15dAA4MRTnAPyWZZczMzPdLHNS0gDl5OS4GWecIVWrNHP6HqVNvltXN/3xHw+2r2yf2b6zfWj7kjw6ABwfxTkAv2NZZZsu3qaNj4iIcLPMvXv38UZxRvgq9PbEudLIEep18em97sD2ne1Dm7TI8ui2b8mjA8DR0eccgF9hFspzZFuuUqLu0sve3SMMelWfzxmgi727p8rOnE+ZMkUrVryrSZMmuxeSAkAoa1h/U5wDIWG3Vk9J1vXj3vTuH9JqzBJ9ktlLEd79c8UuIJwxY4Y2bdqkjIwMOrCccwecev0hXXrnBk3++2sa27Wpt/z0sAy67ecWLVpozJgxxJUAhCwmIQJCkK/iHS3cdZ9Kvtl7qCvLvg/1fK94JSd0PKeFucUbrE+2TQdvbfhsengK8+BXm0dPSEhw8+j2GiCPDgAU50AI8GlPdVsNTU/UVfUu8vNtek8LPv6VEq49d11PalsjVlZWatGiPFojhiDb55ZHN3aNAXl0AKGOWAsQkvZq40tD1HPDg+ck0kKkAUdTP9pkM46SRwcQCsicA5B86/XSLanakJanzF4XeQvPPC4GxIlYu3atJkyYwEXBAEICmXMAZz3SUtsa0droxcbGujEGCnMci11zYNce2DUIdi2C5dGJugAIFRTnQMjZq03vLtHHyTfr2ogz/xZgrREtV15YWOhO656cnEyuHD/IXiOWR7drEYy9huwADwCCHbEWINScpUiL5cpnzZpFa0Q/1+inpzbhkHX8OZt4PQEIVmTOgRDn2/iSbvnNPzTxtYfV9TRM0d6Q5coXLFigV199RaNHj3HPfgKni/0lZty4R9S9ew+NHTtWzZufu25DAHA6kDkHQtpurVn8v9LgW9T5DBTmtVPuG8uVU5jjdLNrFey1ZXl0u4YhOzv79OXRt+cp1fmQjMsq0gFv0RFOZJ2T8rnyUjsqKm6qik7PBgEEOIpzIJRUFiknq5Hu7NH2tP7yW3eNgQMHurnyF154UcOHDydXjjOmNo9u1zBY+0XLo1vPfAAIBhTnQCiJ6KXMihzdd9X53oIfxyIs6enpGjnyt25f6okTJ9KzHGeNRVrS0tLcA8KFC3PdA0TLpgNAIKM4B3DSLEZgcQKLFVi8gNaIQahqo97+6xSlRDZWo59GKyX3c2/A/9gBobVbtAPE1NRh7gGjHTieqn3r3lBWarybA42Kul0Z81Zqu88bPEKlSpfPVkbfdt76zlffDM0r2q5DD9mv7UUv11unnfpmvKyi7Ue7qNZZd/kf1dfWGf/WcX4ugGBFcQ7gpNS2RrQ4gcUKLF5AhCWY+Jy6PFdpt/fUr2fs0K+eeV+f79ukOQMu9cb9V20e3Xrp24GjXQNxKnn06jcXa0OPWSop/1SFc6/X6oxkDX1qpaq88UP2a2veo+o/ZKH+5ZFlKiv/QmWFORp7SYEy7nlGf6u0ytp5Potmamji41od/4wKy8pVUvAHXZKbpsQH5qv0sOLbWXfDAv1h+Dxp6DOa/djNas2nNBBy+LUHcEIsLmBZ8mnTprkxAosT0Ckj+Pgq8jSq513Kjpqoj1+bpPv+rasuDqBPCjtQtF76duBo10DYgaQdUJ6M8H7penxIBzVVY7W+6SFNHB2rkudf0yq32K7H95nefGmJquOSNPjGNu4HaljrLrqlR4xT4X+gNZv2OEt2adXCHJWE36lHxvZ0iu0wNW03WC988oXKFw9VTN1z+70qN7ysUYl/1Bf/QWEOhDJ+9QEcl8UDMjMz3bhAUtIA5eTkkCsPVr4tyvvvxzRbD+jpiXfr6jPQ0edssQNHuwbCDiTtgNIOLE8sjx6umF+2r1cYRyi68zUKryu26wlrp6GLN6h8fndVLM5zz9TnZo1Q//HveCs4DpRrzetlUswVijze87nrKQ25ZZzeVG0R7y0HEHL49QdwVLVT7ltrxIiICDcu0Lt3H28Uwci36S09N2e9WvX+uTamX+tOUNQoMkVZhdvq5acDix1I2gGlHVjaAaYdaB7feWrZrEm9D8cwNYlo5iw9Gi8fHttTQ8a9ps+cJyns8kF69vHbvPF6WjbTBT/wiRse20FXVS/Q5BdXHyVCAyBUUJwDOIK1RkxJSXFjAfPnv0JrxJCwV5veXaK31FPJvW5RyqwPtb98mf6n9xr9V/eHNXvjXm+9wGQHlnaA2bVrF2/JifJpT+Vu7fPuHabyPT09fKa29Puz/r7uRY0ekKjExO6K1LfeCvWs+lRbj9fHPPw+PZvziv5kEZqsafpraWA/3wBOHcU5gDp2kad1upgwYYI7RbrFAiIjI71RBLcD+nbXDqnltUq441o3Zx528Q26f+S9+n+0QgveLQvYs+e17ADzh//6s0srVm5WpXfP7hcVvK3q8OvVObqJt8yzZ7e+rG4Yg6lSRekW77ajUZQ639pW2rdblXuO8wye10wRTZor7s4U9Qt/R5lPLtHWQH/CAZwSinMAboTFWtENGnS32xpxzpw56tSpkzeK0BWmpm0uU5R2aPOu6oAvzk9U9bwnlZm3wSmzLbYyU5Pn7Ve/Sam6MaLBR2bTSHWIlYpfzVdxlfPs+LaraF6Ws36ZM1itryvt7HdzXZs0ULEWV5my7GBrxKp1mm2tGtuP1/IGF5mGtemn8ZOSpDcm6vHF5SHznAM4hOIcCHE2s6J1tKisrNSiRXm0RgxZTRTTpZtafZWv/FUNe4R3VFKXy9TIuxfcwhU7uLs0s79io65Q/JAP1HX6PE1JjDryA7NpV93/dKYGa4YSY6MU1fZXSl8fo/+a/rDinAOaj8p2OsW1c4DT5UHNzhuvroX/qfi2lygqdoBebfWfmrt4rG5qWPCrsdr0TtYDsf/QGzPzDhb9AELKT2oc3m13coTy8i+8ewCCmXWusOhKixYtNGbMGDqwwO3WkvvA7Rq4OUlvzh+nXq126O0/3KfBFYP01ozBAd29BQD8VcP6m3daIMTUb41oMypanIXCHK6wyzRgWo5y4t/Tr6OaqtF58Xri+2QtnhzYbRUBIJBw5hwIEZYrz8/P18iRD2nixMlKSkoivgIAwDnGmXMgBNVOuW+tEW3mRJtBkcIcAAD/w5lzIIhZrnzWrFnatGmTmy+nAwsAAP6FM+dACKhtjWi5cmuNaDMkUpgDAOD/KM6BIGNT7luExdiMiNYaEQAABAaKcyBI2JT7AwcOdHPlL7zwIlPuAwAQgMicAwHOWiNOmTJFK1a8q0mTJqtbt27eCAAA8HdkzoEgYbny7OxsxcV1dHPlFmGhMAcAILBRnAMBqLY1YklJidsakSn3AQAIDsRagABirRGnTp2qnTt3asKECczsCQBAgCPWAgSg+lPuJyUNcFsjUpgDABB8KM4BP2a5cmuNeMcdiYqIiHBz5b179/FGAQBAsKE4B/yUtUZMSUlxWyPOn/8KrREBAAgBZM4BP1NRUaEZM2a4U+6PGjWKDiwAAAQxMueAn6qdcn/QoLvd1ohz5syhMAcAIMRQnAN+YOnSArc1YmVlpRYtyqM1IgAAIYriHDiHrDWiTbm/cGGuO+V+Wlqamjdv7o0CAIBQQ3EOnAMWYaltjfjAA/e7cRZaIwIAAIpz4ByJjIzUZ599qqqqardYBwAAoDgHzgHLkycnJ7tT71urRMub25T8AAAgtNFKEfADlj3PyMhQixYtNGbMGCIuAACECFopAn7IinGbkj8hIcHNoVsG3absBwAAoYXiHPAj1kLRpug3NmW/Td1PHh0AgNBBcQ74Gcuj21T9NmW/5dFtCn/y6AAAhAYy54CfW7t2rSZMmKDo6Gjde++95NEBAAgiZM6BANOpUyd3Kn+b0r82j07UBQCA4ERxDgQAi7pYHt2m9jfWetHy6AAAILhQnAMBxKb2tzy6TfVveXSb+t9iLwAAIDiQOQcCmF0oOm3aNDePPmLECHfWUQAAEDjInANBpFu3bnV59BtuuF7Z2dnk0QEACGAU50CAq82jFxd/qIqKCjePvnRpgTcKAAACCcU5ECQsj56Wlubm0RcuzHXz6KWlpd4ogOM7oO15DykqKkFZRVXeMgA4+yjOgSBjfdCt3eKoUaPc1ovp6enatWuXNwoAAPwZxTkQpCyPvmRJvmJjYxUX19FtvUgeHQAA/0ZxDgQxy6MnJye7eXRrvWh5dOvwAuBYvtG6t6Yptf0lbgeFqL4Zmle0XT537FD0JTU14eB41D2aXbpXqirV8tkZ6usuc77aD1NWXpG2Ow88UDRVcVE9lLH8a3crcrZWuXy82h+2bK9KZ9/jPG68lm9YqNSojhqa9armZdzu/Zx26puRp9Kqg/8SAMGL4hwIAZZHnzhxoptHt9aL1iudPDpwNFv15ktfqEdeicrLCjU3/kNlJA7XU0W7vXGzTiuUrIKSTSpcnK6+l3+lvLH3aEjmTt1V4Dyu/FMVPnu58kferaFPrdTe6C66NbxMuQUfq9J9/B5tWvOBqlVvmW+LVuSukrp30dX/+i/Ogl16O+tlrb9uikpse3MHS/MeUv9Jf/O2ASBYUZwDIcTy6Dk5OUpKGuDm0TMzM8mjA4dpo36T0jWkXYTzCdlGN/1+vEbHluj5hcX1iuLm6n7bTWrX9Hy1jmuvJu++oHFv6NDj1Fitb3pIE0fHqiRrmv76ZbT6DGir6o/K9KWd+PZV6MNlZe6W6pZVbXMOmKW4Hu3V0h2Rwgf/TmmJ7dTUtnfjf+iuuHBVv16kTQe8FQAEJYpzIAT17t3HzaPbpEXk0YH6YvTLDi0PfTg2vVydu/68QVF8sTpEXejd3q8vyzaruuHjFKHoztcoXFtUWtFIV18XJxUXaMXmvfJtfl+5xXH67egkhRev0rqv9quy6G3lVl+rAd0vq9vGeRdFqIl3W2FN1Kzled4dAMGM4hwIUbV59Pff/8DNo6ekpJBHB3Shml3QyLttzlfEReHe7aM5oG+/sdx4w8eFqUlEM52nSn25+zu17HCt4txCvVJVFZ+qNO4W9e/X2Snpi7Vy/WYVFbyt6rg+6n7l+d7jAYQqinMgxNnZc8ujZ2RkuHl0a71IHh3ByCbnsv7/J2evKr+u9m4fTSNdcOFFzvdvtPvb+nkTn/ZU7tY+RahVs58p7MobNCBuh3ILCrTUKcTP69lRV8bYskp99OnH+vSjHWruLLucT2Ug5PE2AMDVqVMnN48eHx/v5tGtVzp5dAQDO9i0otwm55owYYK39FjsTHa9iz8rP1ZBbpnCb+2i6Ponxus0Vqu2Vypcpfr7uq+8ri6mUpvWfKRqXaaYyKbOp20Ltb3m56r+YK6ez5Vu7RylRu6yCBU/NlqPFf/84DLv0QBCF8U5gMMkJia6eXRzxx2Jbh4dCER2cGkXPdvB5gMP3O8ecNpF0cdXpnmTpyuvtFLybdXyKU9qnpI0aUQ32aWeRwpTxI2pmtRPemPcRM3dYJeN7tf25X9WelaJYkeP0r/HWFSlubr06aXwjetUol7q06W5s6zZwSy6Ca9dBiDUUZwDOILl0a3dorVetDy6nXVcu3atNwr4N7u42Q4q7WJni23ZwaZdBH1iOmtwwj7NvDlWUW3jNaSws6YvfkKJbRp740cRFqXEKS9rbloLvdrHeVzUFYof/pkSpr+i2Q9fp6YHV1JEl14aYPH1mCsU2dQ+fht5WXSnNh/QS10i+EgGIP2kxuHddic6KC//wrsHAAfZhaKWR4+OjtaIESPcggfwR/ZaHTfuEXXv3kNjx451e/wDgD9rWH9TnAM4IXY2Mj8/X1lZU3XXXXdr6NCh7hl2wB9Yrnzq1KnauXOnmyv/4fgKAPiHhvU3f0MDcEKsELc8+qJFeaqsrFTfvglu9wvgXKqfK7fJteyiZgpzAIGM4hzASbGYQFpamptHt+4Xlken9SLOttpcuV20HBERcZK5cgDwXxTnQAjybStQes9IRU9ZrVOdCdzOTlr3i1GjRrlnLa0/Oq0XcTZYrtwmzbKLlefPf8W9eJmIFYBgQXEOhBrfFuU9+jv96d0d3oIfp1u3bu5ZS+uPbt0xsrOz3bOawOlmf6Gxg0C7ONkmzbLJs7g4GUCwoTgHQsp+VeT9j36/uYV+6S05HWrz6MXFH6qiooI8Ok4rO9izv9LYX2jsINBy5TZpFgAEI4pzIGT4VLX+FaU/d6UWPDdCV3pLT6f6efTnn/+LGzcgj+4/Gv208Rn5OpMsV24He8YuRraDQAAIZhTnQKioWqWZD7+vXz01TF0vOLO/+pZHt7Ob1j3DznZaNw3y6Ofege/2n5GvM8EmvbKLjS1Xbgd7dqBHz3IAoYDiHAgJu7V65lztSntUQ68++iTkZ4J1z7A8uuWCLY9uZ0HJo+N4LBZluXLrVW4XG1uunNaIAEIJxTkQ9PZr29szNF1DlN4r8qz/0lsePTk52c2j21lQiyhYtw2gvtpc+Q03XO/myufMmeNebAwAoYYZQoGg97lyU3pq4Pxy735D9ymn/M8acHEj7/6ZZXEFOysaHR2te++9l7OicC8efuKJJ9Sv3626//77ia8ACClM3w9A2parlKi7tGLS+1o/tqvOTll+OIu4ZGVN1V133a0777yTgiwE2cXC1hKxRYsWGjNmDAdqAEIS0/cD8AvWdcPy6MZmeSSPHjrs4mDLldvFwpYrtzgLhTkAHERxDuCcsTy6deGwWR4tj26zPpJHD1528GWTVNnFwZYrt4MzcuUAcDhiLQD8hhXmNvuj5dFHjBjB7I9BxPbtuHGPqHv3Hho7diwxJgDwkDkH4Nfs7Gp+fn5dHn3o0KHuGXYEJsuVT506VTt37nQvBCa+AgCHI3MOwK9ZIW55dJsN0ljrRcujI7BYrtwmn7JcuU1GZZNSUZgDwA+jOAeC1NGmWT/RL39gsQfLo9vskJZHt9kirQ0j/Jv95cMOpixXbrEky5XbZFQAgBNDrAVAQCCz7P+4ZgAATh6ZcwABqzaPPnLkQ5o4cbKSkpLIo/sBy5XPmjVLmzZtcvuWd+rUyRsBAPwQMucAAlZtHr24+ENVVFS4eXSbXRLnhuXKrUe55cqtNaLlyinMAeDHoTgHEHAs0pKWlubm0RcuzHV7Z+Psqc2V2+RRxnLldtAEAPjxiLUAIWG3Vk9J1vXj3vTuH9JqzBJ9ktlLEd79QGTFIvGWs8MuyrWWiOTKAeD0INYChCBfxTtauOs+lXyzVwe+23/wa9+Her5XvJITOgZ0YW4ozM88ixHZlPtWmNuU+xMnTqQwB4AzgOIcCHo+7aluq6Hpibqq6aFfed+m97Tg418p4Vq6nuDY7K8SlisfNOhuN1c+Z84cptwHgDOI4hwIemFqelWnwwpzaa82vbtEHyffrGsjeBvA0Vmu3C66NTYplOXK+SsFAJxZfCoDochXpncXbA2KSAtOP2uNaJM+WdtKu+jWJoOirzwAnB0U50AICslIy/Y8pUZdorisIh3wFh3ugLPKQ4qKSlBWUZW37Ef6wZ/pX6w1ouXKrTWi5cotzsKU+wBwdlGcAyGHSAsOZ7lya0dpU+5brtxaI5IrB4Bzg09mINQQaUE9NomT5cqtG4tN7kSuHADOLYpzIMS4kZb9SRoYH5oZ4n3r3lBWarzbVzYq6nZlzFup7T5v8AiVKl0+Wxl923nrO199MzSvaLvqHuLbrqJ5GepbO368bfq2avn42911xi/femgb54Dlyi1L/vzzf3Fz5TapE7lyADj3KM6BkLJbaxb/rzT4FnU+rHtL6Kh+c7E29JilkvJPVTj3eq3OSNbQp1bqyJT5fm3Ne1T9hyzUvzyyTGXlX6isMEdjLylQxj3P6G+VVlrvVtFTw5WY8aHi5xY665So4PFI5TrbfGDuhgbFd6U2zH1cw2dLQ+c+p8duanNO3oAtV56ZmenmypOSBrhT7pMrBwD/QXEOhJLKIuVkNdKdPdqG7C9/eL90PT6kg5qqsVrf9JAmjo5VyfOvaZVbbNfj+0xvvrRE1XFJGnzjwUI6rHUX3dLDKWSrP9CaTXuc57NYC59fqfDBv9NYt9iOULuhM/VJ+QYtHtqu3nP8jTbM/r0Sx1foP85RYV475b7lym3yIMuV9+7dxxsFAPgLinMglET0UmZFju676nxvQagJV8wv26t13TtfhKI7X6Pw2mK7vrB2Grp4g8rnd1fF4jy3sM3NGqH+49/xVpAObCrS69XONmMudor9Y9uVlaJbxttfLGqL+LPrvffec3PlhYWFbq48OTmZXDkA+CmKcwAh5Dy1bNak3htfmJpENHOWHs1+bV/+R/WN7akh417TZz5n7csH6dnHb/PGazXc5tE0V2xsW1XPe0ovFu32lp15tbnyadOmublym3KfXDkA+DeKcwAhzKc9lbu1z7t3mMr39PTwmdrS78/6+7oXNXpAohITuytS33or1NqlVZ/tOG4f8/DB05Xz1yyNji1R1mN5Kj3DV4Jartx6lFuuPCEhgVw5AAQQinMAIWSXVqzcrErvnt0vKnhb1eHXq3N0E2+ZZ89ufWmRlcNiMFWqKN3i3ZYaRXfRreHSvq8r1SAUc5jzLopQk6addOeDfRVe/IyeXFx+Rjq11ObK77gj0b1vuXJrjQgACBwU5wBCSvW8J5WZt8Epsy22MlOT5+1Xv0mpurHhhExNI9UhVip+NV/FVU4p7bZMzHLWL3MGq/V15V4pIk5JD1znbnOK2xrRp6oN85Ta/hK1z1he7yDANFab/r/TpH7SG+Oe1OKt+73lp4flylNSUtxc+fz5r7hxFnLlABB4KM4BhJBwxQ7uLs3sr9ioKxQ/5AN1nT5PUxKjjnwzbNpV9z+dqcGaocTYKEW1/ZXS18fov6Y/rDjt0EdlO51SvJm6PPys8iZ0VOGQeLWNilJsnxy1SsvW4nE3HjnJU9gl6v1AsmKrl2jmgrVHad948mzyIJty33LlGRkZbq7curEAAALTT2oc3m13Ao3y8i+8ewAAf2URltmzZ+vVV1/R6NFj3Gw5Z8oBIPA0rL85cw4AAcZy5dYa0SxalMeU+wAQRCjOASBArF27VgMHDnRz5dYa0XLltEYEgOBCrAUA/JzlymfMmKFNmzZp1KhR6tatmzcCAAh0xFoAIMAsXrxY2dlz1b9/f3Xu3NlbCgAIRhTnAODnLL7y/vsfqKSkxG2XaPEWAEBwItYCAAHE+plb28To6GiNGDGCtokAEOCItQBAALO8+Zw5cxQfH69Bg+52p+m3tooAgOBAcQ4AAcbaJlr7RGujaKytorVXBAAEPopzAAhQ1kbR8ujWVjE/P99ts1haWuqNAgACEZlzAAgSlkcfN+4Rde/eQ2PHjqUHOgAEADLnABCkLI++ZEm+m0ePi+uo7Oxs8ugAEGAozgEgiNTm0YuLP3QnL7I8+tKlBd4oAMDfUZwDQBCySEtaWpqbR1+4MJc8OgAECIpzAAhiMTExbrvFBx64X6mpw5SZmaldu3Z5owAAf0NxDgAhoHfvPm4e3SYtsjy6tV4kjw4A/ofiHABChOXRk5OT3Tx6YWGhm0e3Di8AAP9BK0UACFGWQc/IyFCLFi00ZswYNwIDADi7aKUIAHBZMZ6Tk6OEhAQ3j27ZdPLoAHBuUZwDQIiz1ouWRzd33JFIHh0AziGKcwCAm0cfPny45s9/xc2jp6SkkEcHgHOAzDkA4Ahr167VhAkTFB0drREjRrhdXgAApx+ZcwDAD+rUqZPmzJmj+Ph4DRp0t5tHJ+oCAGcexTkA4Kgs6mJ59EWL8tz71nrR8ugAgDOH4hwAcFzNmzd38+gvvPCim0cfOHCgG3sBAJx+ZM4BACfFLhSdNm0aeXQAOA3InAMAfpRu3brV5dFvuOF6ZWdnk0cHgNOE4hwAcNJq8+jFxR+qoqLCzaMvXVrgjQIAThXFOQDglFkePS0tzc2jL1yY6+bRS0tLvVEAwMkicw4AOG0sjz5u3CPq3r2Hxo4d6xbvAIBjI3MOADhjLI++ZEm+YmNjFRfX0W29SB4dAE4cxTkA4LSyPHpycrKbR7fWi5ZHtzPqAIAfRqwFAHBGWQY9IyNDLVq00JgxYxQTE+ONAACItQAAziorxnNycpSUNECpqcOUmZmpXbt2eaMAgPoozgEAZ0Xv3n3cPHpERAR5dAA4BopzAMBZY3n04cOH6/33P3Dz6CkpKeTRAaAeMucAgHNm7dq1mjBhgqKjo3XvvfeSRwcQcsicAwD8RqdOndw8enx8vJtHf/bZZ8mjAwhpFOcAgHMuMTHRzaObO+5IdPPoABCKKM4BAH6hNo/+wgsvunn0gQMHurEXAAglZM4BAH7JLhSdNm2am0cfMWKEIiMjvREACB4N62+KcwAIMY1+2ti7dXod+G6/d+v0sVaL+fn5ysqaqrvuultDhw51z7ADQLDgglAACHFWRJ+JrzPBCnHLoy9alKfKykr17ZugpUsLvFEACD4U5wAAv9e8eXOlpaW5efSFC3PdPHppaak3CgDBg1gLACDgWB593LhH1L17D40dO9Yt3gEgEBFrAQAEvG7durmtF60/elxcR2VnZ7v59B9le55SnQ/JuKwiHfAWHeFE1jkpnysvtaOi4qaq6PRsEECAozgHAASk2jx6cfGHqqioII8OIChQnAMAAlr9PPrzz//F7ZVOHh1AoKI4BwAEhZiYGOXk5CgpaYBSU4cpMzNTu3bt8kZP3L51bygrNd7NgUZF3a6MeSu13ecNHqFSpctnK6NvO29956tvhuYVbdehh+zX9qKX663TTn0zXlbR9qN1uHHWXf5H9bV1xr91nJ8LIFhRnAMAgkrv3n3cPLpNWmR59Ly8vJPKo1e/uVgbesxSSfmnKpx7vVZnJGvoUytV5Y0fsl9b8x5V/yEL9S+PLFNZ+RcqK8zR2EsKlHHPM/pbpVXWPlUVzdTQxMe1Ov4ZFZaVq6TgD7okN02JD8xX6WHFt7PuhgX6w/B50tBnNPuxm9WaT2kg5PBrDwAIOpZHT05OdvPohYWFbh7dOryciPB+6Xp8SAc1VWO1vukhTRwdq5LnX9Mqt9iux/eZ3nxpiarjkjT4xjbuB2pY6y66pUeMU+F/oDWb9jhLdmnVwhyVhN+pR8b2dIrtMDVtN1gvfPKFyhcPVUzdp/D3qtzwskYl/lFf/AeFORDK+NUHAAQty6NPnDhR06c/rWnTpik9Pd0bOZZwxfyyfb3COELRna9ReF2xXU9YOw1dvEHl87urYnGee4Y+N2uE+o9/x1vBcaBca14vk2KuUGTT43zk7npKQ24ZpzdVW8R7ywGEHH79AQBBr1OnTm4e/c477/SWHMt5atmsSb0PxzA1iWjmLD0aLx8e21NDxr2mz3zO2pcP0rOP3+aN19OymS74gU/c8NgOuqp6gSa/uPooERoAoYLiHAAQMqxIPzk+7ancrX3evcNUvqenh8/Uln5/1t/XvajRAxKVmNhdkfrWW6GeVZ9q6/H6mIffp2dzXtGfLEKTNU1/Ld3rDQAINRTnAADU2aUVKzer0rtn94sK3lZ1+PXqHN3EW+bZs1tfVjeMwVSponSLd9vRKEqdb20r7dutyj3Hab1yXjNFNGmuuDtT1C/8HWU+uURbj7M6gOBFcQ4AQD3V855UZt4Gp8y22MpMTZ63X/0mperGiAYfmU0j1SFWKn41X8VVTiXt266ieVnO+mXOYLW+rrSz3811bdJAxVpcZcqyg60Rq9ZptrVqbD9eyxtcZBrWpp/GT0qS3pioxxeX12vHCCBUUJwDAFAnXLGDu0sz+ys26grFD/lAXafP05TEqCM/MJt21f1PZ2qwZigxNkpRbX+l9PUx+q/pDytOO/RR2U6nuA5T0y4PanbeeHUt/E/Ft71EUbED9Gqr/9TcxWN1U8OCX43VpneyHoj9h96YmXew6AcQUn5S4/Buu5MjlJd/4d0DAAAAcCY1rL85cw4AAAD4CYpzAAAAwE9QnAMAAAB+guIcAAAA8BMU5wAAAICfoDgHAAAA/ATFOQAAAOAnjuhzDgAAAODsqd/n/LDiHAAAAMC5Q6wFAAAA8BMU5wAAAICfoDgHAAAA/ATFOQAAAOAXpP8Lm/uLTJDc3i4AAAAASUVORK5CYII="></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 Karl takes two socks of the same colour.</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 Karl has two socks of the same colour find the probability that he has two brown socks.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Charles wants to measure the strength of the relationship between the price of a house and its distance from the city centre where he lives. He chooses houses of a similar size and plots a graph of price, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="P">
<mi>P</mi>
</math></span> (in thousands of dollars) against distance from the city centre, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
<mi>d</mi>
</math></span> (km).</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>The data from the graph is shown in the 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>Explain why it is not appropriate to use Pearson’s product moment correlation coefficient to measure the strength of the relationship between <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="d">
<mi>d</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>Explain why it is appropriate to use Spearman’s rank correlation coefficient to measure the strength of the relationship between <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="d">
<mi>d</mi>
</math></span>.</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>Calculate Spearman’s rank correlation coefficient for this data.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what conclusion Charles can make from the answer in part (c).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Mr Burke teaches a mathematics class with 15 students. In this class there are 6 female students and 9 male students.</p>
<p>Each day Mr Burke randomly chooses one student to answer a homework question.</p>
</div>
<div class="specification">
<p>In the first month, Mr Burke will teach his class 20 times.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that on any given day Mr Burke chooses a female student to answer a question.</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 he will choose a female student 8 times.</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 he will choose a male student at most 9 times.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A set of data comprises of five numbers <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> 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>
<br><hr><br><div class="specification">
<p>A calculator generates a random sequence of digits. A sample of 200 digits is randomly selected from the first 100 000 digits of the sequence. The following table gives the number of times each digit occurs in this sample.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>It is claimed that all digits have the same probability of appearing in the sequence.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Test this claim at the 5% level of significance.</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by the 5% level of significance.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</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 13 8 11 8 7 8 14 <em>x </em> 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>
<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>
<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">
<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>
<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>
<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>
<br><hr><br><div class="specification">
<p>Eduardo believes that there is a linear relationship between the age of a male runner and the time it takes them to run <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000</mn></math> metres.</p>
<p>To test this, he recorded the age, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math> years, and the time, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> minutes, for eight males in a single <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000</mn><mo> </mo><mtext>m</mtext></math> race. His results are presented in the following table and scatter diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>Eduardo looked in a sports science text book. He found that the following information about <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math> was appropriate for athletic performance.</p>
<p style="text-align: center;"><img 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nC5uH3tnkM46U7Feef9dR10E/kdZUb4s1gh5OId8YaVEzbwNCkwCC7b8bvDuo+QvyoeQe1dvSIIY5duhJC1wJG/FXHUa896bfv7dZb6Eyjdf5l5EnfJKBfOYQMzcTk2FX0MncZPKvOgrX0i8bLhU2SJKRQnrF2XbUb+4jGSsfMbYq8jf9NycdWHA36cdRAMKY4Jowv4v7QOX6x4VvSkxeOlfQTDy5FSu/swgfkL0pz15pPJJTdGd4PtQhE4AUtbt49o1/lY39kb3b0ewNMbpfsP7GiBuMriPg9x00/Kia/go/zXoQ3iNyTdoFBBu2oLNi1ztjFDOQm6rE+b2tmr19dEV8a4Z5rTS/0MNjZtwxNl7qZBfqP8lVbn5+MjE8Ket9tvLy9Cv3Z/0+DrxNcAy99suySsI/g68VfZrtlaNhivj57Vr3wd/hTx4Ri+TKysWz15SRBdo/UYvk7fgfAc/kj4qs4LOIev+/WCgBMEcftBIk4QBCFjKJ3Sw6B+JQh5Q+kUgiCI2wgScYIgCBlDIk4QBCFjSMQJgiBkDIk4QRCEjCERJwiCkDFulxjyJSwEQRBE98W5zJDWifcwqF8JQt7QOnGCIIjbCBJxgiAIGUMiThAEIWNIxAmCIGQMiThBEISMIREnCIKQMSTiBEEQMoZEnCAIQsaQiBMEQcgYEnGC6LE0wirMg0o1CXpjg1RGyI1bK+J2K0qznsdQ1T3MkCYjPacUVrv0XWdoMKHYkI4EvZGZpUy4rmu/AmvxcsTS4COIHs8tFPE6GNfMwZSCwXivpArmkvn41RYdluZb4LGWMSE05qQjNnwBChGDzFlqdOG35G8B13ft9uoCLJ2zAZXSZ4Igei63TMTtJgFL9WeRuCgFYwN7QxEYjcSp96JgcTb21ncgZVy8hdVIjpiF3KsxWFv5FVYkjUWoTzfJDnUQGVzftVuQv2wtzPcGSwXE7UCjcTXUqtFILz4nldhRX5zBIjXXskswGaZBNTQDxdxOnE6MGM2x19DnoS8yoUVsJtli0zaqMMSmb4HRekXaoCV2axEyYsOgil2O4na2IboXt0j1LuHE/kKUQ43I+/2ksj4YEh0DtW03Co21UlkrmsQ7HutPhmDunlzPxNsqIDlZgFX6yHEMGodhD00vRn3DMQjpk6FSr4axSXl/hJCcBsHqYZLGo8igi9cuUo9jm97Ch2GvY22KWiojbgd6/VaDx5Rm5BX+wHqZcxHHD34PG1zK7KewP68MiNbgft96MZrTvmFFXG4ZzJYqlLw3GDtnTkOaIEV0bMIX0qZhxtZfYxGL+Cx8m1wd7slbiGlrv5HO40JDBTa9uhgGJGKT4RXRwSC6P7dIxBtw2nQK8A+BKqBZ5hT9/DAQZ3HY/EvbtEKjEXrNSGhTdyJiy25k67TQXIeR9dIsQPkPm5GoDEZC5FV8tfFb2AP6QjkqBIGdbZVORQZduHYROxqMBvx530N4e9ZI9JNKidsE3wcQkxAM22EzargB2E/j0B6z+FVTWcPPMJkA9eihCBCjuUqoF76CeZGBbCD3RuDYFCxK7N0U0dlP7MaHBf8F9dQ/YIw4Vtg2I8ZhdKgStu1GHHf1TeoPwTB/JjJ+iicBlxm3SMT/ibqaNn6AhA2W87a2QtZLA52xDELWJFRMG49kfSFMDe7lzjNYuGrcjTxbPQ5sMyNi1gwk6D7DkQ1aBHnaKq7iXafBwlJP0jpduHZOwwFsXH8RC5Y/hbDukjYivIgf7o9k0VV5IfafuMQE+Fvklavxkm4KlOVlqDhzRbLXkUiIvhvnKspYNBeMccPvdhnE0jFs3+Pg8YtQhCYh33IEn0TXIF8QIAhboZ+diIxym7S9kwroZ/wRGbt6N6X4CPnQDdVACVV/pfuKKQKh0S5AdkU+5g4+jMzIJ5BuKO6imDvDVV+MmP4ENJ0VxqbI4ABG53/hpZx8O9dur0bxW5uBuTTAbl96YWDESKhxCqbT9Wg4XQWT+neIj3sQoUyuS4+egLFwN2zqGEQP6YULdefZPkx8tfdLuW7+CkZUquA4HIfbTcYTCJ/wDBZvq2LOQR8Mnr4Cyyb6Sxu4oAxD+H1nkfPmJzBel3NE3GxukYgPQMToYcDlOtRfbDaYxuoqlLHvhgXfee2KOcW8dDViUIiXwrsg5lK4qoxLw4tjAqTCTtAUGYzAvvgxLDIQ2r1Z1JIuXPuZEmw25LIB+0CrwSoN4lb5fkKeKIY8jAT1WeQVFuJrJth3jBuOIaG8rB6Hq35A1eGz8GdlgxW90M+vP9vjUSwrOi7+ykvL107oNH1Rv3cD5hhqEJf1DSqyFyBBq4V2jIrZ02XHCZsIRuJ7n+LLt15EeOW7WPqlyX00SHRLbpGIu7uRdwknDx1ArXI8YjRuPAV3+IRibNIK7Kh0iPnCjeUerxN3hKsDkDB1tOfpk9a4RgYBpVgSNcWDyaQL1x6oRXaLQWpGSZaWfREBnXAUlmwtAh1bEnJGcSeChw2A7ftNeD8PeOxBFXqJZb4oX6rDUmavYlmT116GvP2nXARXWr2imgaD6SIu1tWySDMUoyIGNg90Ma/eOp2iRIBvX/iotUiJ+xeUZ65HfjWtTJELt0jEudcxHs/FXUHe5r/jWEMjGkw7YNh6CnErkzHGt5PVksQ8T6fxcJ14I87wnGJnJoxrwcU8sXky6Sgy8Oq1E7cR/tDEjIfyPytQCadtSnlujou9OmyIC+5bWFdqZUJ+BdZSAzIzyxCum48nQ5koq+5DOBP6rdsOi8sO7dZS5GT+FTlcw1tFgiIKFeIzliAOuVi8rADV5I7LglunGMxgtKtysHLQ54gJD0b4hA+AlA+wSqtyXymeg1Y7c3/uX2qPn9isw9HSciA0BHd78yahp5FBh9fufBx6OJKFH8USoieggK9mPBKU7G2TbTq9bqbhCeOhcU7y3IbW50NYEoiCKSMRrApB1JTtGLRkMwwvR8KHHctHk4S1WU8B+t8jnI2P4KhlOBo6B1m6aMB2Auaatt62ImgsZs+OhK3gY3xWXieVEt2ZnvFr93yd+KvA8k6nHfg68TVsxzehDfTMx+/u3Fb9ShA9kNZjuGeIONEE9StByJvWY9iLuQSCIAjiZkMiThAEIWNIxAmCIGQMiThBEISMIREnCIKQMSTiBEEQMoZEnCAIQsaQiBMEQcgYtw/78MXkBEEQRPfF+cAPPbHZw6B+JQh5Q09sEgRB3EaQiBMEQcgYEnGCIAgZQyJOEAQhY0jECYIgZAyJOEEQhIwhEScIgpAxJOIEQRAyhkScIOQK/+1YVWd+IPw6aDChSL8O/2G94WciOon3RNxuRWnW8xjKjEqlmoz0nFJY7dJ3HXIF1uLliFVNgt7YIJV1AmZgxYZ0JNwMY/YWnW4v1kbGLUiPDROf2FKpwhCbvgVGa9tfLCcI79II69drMFN/FFelEqL74CURr4NxzRxMKRiM90qqYC6Zj19t0WFpvgWe6Li9ugBL52xApfTZY5gQGnPSERu+AIWIQeYsNeTxm/Sdby+xjaYtw4ERmSiqtMBSmYepNWugnf0JTB5PlgRB3G54RcTtJgFL9WeRuCgFYwN7QxEYjcSp96JgcTb21negMHYL8pethfneYKnAA7h4C6uRHDELuVdjsLbyK6xIGotQn26SHeogMuhKe9mtVfjONgAjYkY7rtOHeeKPRwGmKpxuIBXvHjCPVZjniKw+fBvJQ3nExF5Dn0dW6TEcK8pqLovNgGCql/ZjSDYTK0ZZjn30gtElOrOzTQqhT45yfM/P8em3aP1fcOzWUuSkT5a2uQdDk7NQ1HSeHyEkD2fnTkKyM6KLNzAngB+7GAaX/ZqjwwYY9Y8hKlVg+wtIjQpuTt84nSjnPrzORSZ0IZYmrgMvqN4lnNhfiHKoEXm/n1TWB0OiY6C27UahsVYqc0c9jm16Cx+GvY61KWqp7Bo0iXc81p8Mwdw9uR6INx9YaUgWfpQ+O2g0roZaMr6h6cWobzgGgRuxejWMTcrLjT4Ngqd5QI8ig661lyIwBKOUZuRt3YdqcWA34kLdeSgTxkPj200mL0LiIHI+v4zpe6pYxPQ36O7dh1VTJkD7aW+8wMrMJR8jCZ8h9U95jiiKOTJC2jTMyPwFUwsrYbFUoeS9wdiZ+jSS1pSKomivzkda/DzsHLREjMTE6G2n0DJ6bSjFmqTpeKPmMeSyCM9iLsF7QYWYGf8ahGqXtFsl22tqHirNZcyBisVgKz/2C9j6q/koMf/E9itDbtpA5KXrsHbvJWh021GSpWU7apFVYka5TsPs2hFNat+wIi63DGZnnWdOQ5rgWQROeAcvjP4GnDadAvxDoApolixFPz8MxFkcNv/SToey2d9owJ/3PYS3Z41EP6m0XRqN0GtGQpu6ExFbdiNbp4WGebFdpZdmAcp/2IxEZTASIq/iq43fwh7QF8pRIQjsbKt0KjLoWnspguKxSliJ6O92YBfzrOzW/cjJ64+FMzTwlbYhugvBTVEWfIbh8akjxbKE6U8iUoy8HoJ2Eos8y8tQceYK6vdmY3EBELdyCWaE8d7sjcCx8/CGLhyV+nfwpakOJ3Z9gQI8hUUL40W7UgSOQ9qip6AUz8e5BNOX70BfORILFyaJ52FGg7Fpf0IicrH43W+Yy+QkCo8zT9xHEQi12g8n+bFtIzE1Mdph+6x8xO/+DaEwY/tByzWiyUqoF76CeZGBTEh4nVOwKLG3ZxE44TW8IOL/RF2NS1jYAhss523uRbzhADauv4gFy59CmCdpkF4a6IxlELImoWLaeCTrC2G6rjSCHfXG3ciz1ePANjMiZs1Agu4zHNmgRZCnreIq3nUaLCz1JK3TxfZiXeUTGoMXnvNB3sujETzuC4S8/QaSxEFPdC+UCPDtI73vhX5+/dlf18jLlSuoMZ9gPR+KUREDXQakL3774DB2pFMwna5Cxb7DQLQG9zdFXQr43q9BtPQJzAEQt/EfgeGDnedm+A5BZLQ/bNuNOO5U4xYORB+EJm1h3v97iD5dCEEQIOStxuz4V1m02B6NOFNRxr4Pxrjhd7vU2Q/3R7KI2vY9Dh6/KJURNxpP5aqLKKHqr2x7Ens1it/aDMyVvBVPYR6CRrsA2RX5mDv4MDIjn0C6obiLYn4Rxw9+zwaPL0ZMfwIaTyYSV5oigwMYnf+Fl3Ly7bQXh7fZ0jl47epT+KRgF3Ln/DcyYyIRm1HUiVVARPejERfOn2N/+8Ovn2vyTYG+vn64g/nPNWdP4GSZmzRbgAoR/tJ7+0XUnbkM1K6GNsSZ1+avh5G661opTe6LFCEjNhITZryObScvsVOHYvp7/xsTpe/b4kjlARXQa+93OVewlDsnbiZeEPEBiBg9DLhch/qLzWrSWF2FMvbdsOA7257kTAk2G3KZATzQqvMlo0gWYHVs6R6nmJeuRgwK8VJ4F8TcfhqH9pihjEvDi2MCpMJO0BQZjMC++DEsMhA8XO7XhfbiUcPeDZhj6Iupjw8Tw+DIVD2EZeNwyvAhdpxgA4+QKcxT78/t7zzqLrgmLuy4WF+Hy8zJGDRgCAaPZGp9pg4XXE38nAUVTn1W9IXfwDuYw78cRTyvbWn1Kl8ATdsbNIxz2Lv2LzCcikXWd/uQrZsKrXYyxtz9K5yRtmiLM7p4FMuKjrc9l2UndBofx6bEDccLIu7uptwlnDx0ALXK8YjROF0FFwK1yG7R6WbpxkkEdMJRWLK1CHRseW18QjE2aQV2VDrEfOHGcrf5O3fYT3yLvPIBSJg62vP0SWtcI4OAUiyJmuLBZNKF9moKuV3xRVhsLAunz+F8i8FPyIveGBQ8hMVgJnxXccYllVbPIsXDrM/vRejdIY6Jv8VKJDaxHzViv/SpyTkoL8R+10ndfgyG+DBpFYpU1gIpvRf6ICKaomI7Gk5XsRq1Ry8MjBgJNXM78vafcqnzJZgM05hTNg0GEzkWNwsviDg7yJDxeC7uCvI2/x3HGhrRYNoBw9ZTiFuZjDE3Y+WEJOZ54l1zT5Byeu2KZifhYp7YPJl0FBl0vr0k4cc/kJn5BduHHZenV9Z/gF3hj+HR+/pK2xHyQwHfMclYGQcULH4Dm47x+yX84bd1WKKvRLhuPp4M9cOQiX9AHD7EnAVbxP63W/dg1ZufuUzszEb4NkpuIwaU8qjQbkXpureQWR4O3VItQt0OxX5QRQxh4v8VtpXXsc/8obJPkSkd+/K5ejRnt004WX0GJ0zMRxdt+F9QnvkW1pVamZCz/UoN7NxlUp1d8vLEDcU7CqtQQbsqBysHfY6Y8GCET/gASPkAq7Qq6QTO9bPD2yz18xieg1Y7c2/uX54/flyHo6XlzPsIwd3Xncd2wdPIoAvtpQh9Bu8LmUj4aTnbRwVV8Di8eXUqBENK5/P5RPdCtIct2LTwTmyNCWf9HoKoOScxKetTGF6OBE9MiKuT8j/CbKwV+z846h1cnaRFuOMIIoogLdbv+RuWDNqOKVEhzEZGYkpBIJYI7+Fljbubqhw/aGa9iazERim9yc69pBKhf14JnVoJ22EzauzM8x71DNImnmfbROFxQyUaeJ3X50NYEoiCKSMRzPebsh2DlmxuqjNxc+gBP5TMBXERXsXLyNb+RirzFL5OfA2w/E1oAz3z8bs7t0+/EkTPpPUYpl+772FQvxKEvGk9hikOJwiCkDEk4gRBEDKGRJwgCELGkIgTBEHIGBJxgiAIGUMiThAEIWNIxAmCIGQMiThBEISMIREnCIKQMW6f2ORPBBEEQRDdF+dTm/TYfQ+D+pUg5A09dk8QBHEbQSJOEAQhY0jECYIgZAyJOEEQhIwhEScIgpAxJOIEQRAyhkScIAhCxpCIEwRByBgScYLottjRYCqEXr8DVqmEIFrjPRG3W1Ga9TyGqu6BSjUZ6TmlsNql79xyBVbjFqTHholPIKlUYYhN3wKj9Yr0fSdoMKHYkI4EvRGNUtEtxaP61MNULMCQPhmqZIEGKeGG0/g680/QV1ySPhNEW7wk4nUwrpmDKQWD8V5JFcwl8/GrLToszbcwX8I99uoCLJ22DAdGZKKo0gJLZR6m1qyBdvYnMF1T/F1gE4cxJx2x4QtQiBhkzlKjl/TVLcHj+thRX7wK8TPmISPnoFRGEATRebwi4naTgKX6s0hclIKxgb2hCIxG4tR7UbA4G3vr3Suy3VqF72wDMCJmNEJ9WDV8mCf+eBRgqsLphg5UnIulsBrJEbOQezUGayu/woqksY7j3Ao6XR8FfMcuwxFzEZaplVIZ0ROxW0uRw6MxMRplr6HPQ19kQkOjEXr1w0jdVQvsmoco1STojXWwCvPYdpOQnDxJ2mcaDKaLLPgrdkR10nGGJq+GYLRKTlSjtF8S9ILBJfplEbNwDA3iNhwWHRZlIXmoVJfYdHyo59E1P3fzVkT3wguqdwkn9heiHGpE3u8nlfXBkOgYqG27UWhkRugGRWAIRinNyNu6D9WipTXiQt15KBPGQ+PbTrWaxDIe60+GYO6eXA/EmxtwGpKFH6XPDhqNq6F2Gnx6MeobjkHgg0C9GsamHMiPEJLTIFjbSYp0qT4uKPrCb+Ad0geix2E/hk2zpyP9QAwEHo1aKlG48H/i/ZkzsXKfCrryb5E10R+YuA4llp3QaXykHSuwH9NRWHkcJflLENNnF9LipyOz5o+sjB3HXIL3gvYgVTsHa5jwN/M19BuqELm2VNxmUxKQk/o8VhafY99dQbXwGuJnFmLQyiJUWqpQsujX+Fy/EzbHzkQ3xQsi3oDTplOAfwhUAc3JA0U/PwzEWRw2/+I2paIIiscqYSWiv9uBXaZ6pof7kZPXHwtnaOArbdMC7ploRkKbuhMRW3YjW6eFhnn9XaWXZgHKf9iMRGUwEiKv4quN38Ie0BfKUSEI9KRVvFwfogdy5gj2ldugHDEcvxUnfl+EJW3AEcs+rBgb4NjGLf6Ifnwswnz6IFA9CKYNq1CAKVi57ClWxo6jCMLYVzKgC6+Efqngkp4MZtFyKrShbISxbcYkTmGulxnbD1rQaD+JXR/uABL/hIXaMPigNwLHpmBRYrC0L9Fd8YKI/xN1NfXS+9bYYDlvaycvroBPaAxeeM4HeS+PRvC4LxDy9htICnMr4Vx1oTOWQciahIpp45GsL4Spo7TLNbGj3rgbebZ6HNhmRsSsGUjQfYYjG7QI8qRVvF4foscxUIPH44Jgy3kFC/RbIRSbXFIb1+IuRKj6O97af4H58Fkg9EFEuDoRPoPx4IgBrdKTSgT49pHesxEoOloO7Ce+RV75HYiOHOLiRPlDEzOe7UV0Z7wg4tdCCVV/pfuT2KtRvHQOXrv6FD4p2IXcOf+NzJhIxGYUtb+qRREIjXYBsivyMXfwYWRGPoF0Q3EXxfMijh/8nk0zvhgx/QloPE2BuOLV+hA9DoUK2lVbsCnrBQza+RekzhiHcFUUcwgEz1dp2W04b7GxCcEP/VqYcB/4BjD5tdWi7mLH9mi/UAuL9L4ZBfr6+oESft0bL4j4AESMHgZcrkO9i7E0VlehjH03LPhONydhXvDeDZhj6Iupjw+DDxPDyFQ9hGXjcMrwIXac6GBJlVM8S1cjBoV4KbwL4mk/jUN7zFDGpeHFMdcKXT3AG/UheiY+oRirfR4rdhyDpXIPNi2LwU/6eZi29hu0F9+2QKFEfxUT6zN1uNDC3C6h/hwTd6U//Pp2PMwV/fyhwmV2mIsukbMdF+vrWCnRnfGCiLu7iXkJJw8dQK1yPGI0/lKZK1dQYz7R6oaJL8JiYxGNczh/wcPV3nwAJK3AjkqHeC7cWO7xOnFH+DgACVNHe5Y+8YTrqA9BOOwnBSkT/WE7bEaNJz6A4k4ED+Npk4OocPXeG07i4AGeZgnB3R5EmYohDyNBzQ5j+rnFapXjBw/Tjc1ujlfkSzFkPJ6Lu4K8zX/HsYZGNJh2wLD1FOJWJmOM25UmkvDjH8jM/ILtw6yVp1fWf4Bd4Y/h0fv6Stt5iCSeeTqNh+vEG3Gmogzl7U4y14mn9bFfRN0Z5ue08aKInoC9WkDKUP6QmyBFbXY0HCvGtv2XET4uAnc5h05ZFarrLDC5TbEEYMyLaYhDLhZnfNY8lt5aBn1lOHRLtQj1ZJQrBmPic7FAzl+RKS47vAJr8Tos0ZdKGxDdFa+IuCO3l4OVgz5HTHgwwid8AKR8gFValXQC5zrV4U1L/RShz+B9IRMJPy1n+6igCh6HN69OhWBIcZ+fFtfNSutX23mpPX5isw5HS8s99lLccp31EZc4Bk9ARjnzc8pfxYRgWovb01AExWHplkxMqnkDE/gYUKkQHvM5Bi3ZDMPLkfDBIIx6YS4mXl4N7fBnYDjqPsEirvTK34yF4vjjYykKc6rHIUt4Dy9rnMt+O6I3grSvI/+jGNQsnoBwVQii3ryASYkPSt8T3ZUe8EPJfAJZhFfxMrK1v5HKPIWvE18DLH8T2sBb+iyo17h9+pW48fCxMx9RqUBWyTu3zRiQO63HsHc88W5NLwRqV3VBwDm/gTZ7FRkvcftTX4z0ofxJzxxHSoandkzbsHZDIZRx/wtRA2kMdFd6gIgTBNEhvo/gpS3rMBtrHSkZntrhadGp/478VfHeu/lPeJ0ekE4hXKF+JQh50wPTKQRBELcvJOIEQRAyhkScIAhCxpCIEwRByBgScYIgCBlDIk4QBCFjSMQJgiBkjNt14nwdIkEQBNF9ca4Vb/dhH4IgCKL7Q+kUgiAIGUMiThAEIWNIxAmCIGQMiThBEISMIREnCIKQLcD/B4inxc2krzmTAAAAAElFTkSuQmCC"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For this data, find the value of the Pearson’s product-moment correlation coefficient, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</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>Comment on your answer to part (a), using the information that Eduardo found.</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 equation of the regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>, in the form <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>a</mi><mi>x</mi><mo>+</mo><mi>b</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>A 57-year-old male also ran in the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000</mn><mo> </mo><mtext>m</mtext></math> race.</p>
<p>Use the equation of the regression line to estimate the time he took to complete the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000</mn><mo> </mo><mtext>m</mtext></math> race.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Chicken eggs are classified by grade (<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math>), based on weight. A mixed carton contains <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math> eggs and could include eggs from any grade. As part of the science project, Rocky buys <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math> mixed cartons and sorts the eggs according to their weight.</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 the weight of the eggs 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 modal grade of the eggs.</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 your graphic display calculator to find an estimate for the standard deviation of the weight of the eggs.</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><span style="background-color: #ffffff;">The mean weight of these eggs is 64.9 grams, correct to three significant figures.</span></p>
<p>Use the table and your answer to part (c) to find the <strong>smallest possible</strong> number of eggs that could be within one standard deviation of the mean.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Leo is investigating whether a six-sided die is fair. He rolls the die <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60</mn></math> times and records the observed frequencies 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>Leo carries out a <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>χ</mi><mn>2</mn></msup></math> goodness of fit test at a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>%</mo></math> significance level.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the null and alternative hypotheses.</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 degrees of freedom.</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 expected frequency of rolling a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></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>Find the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for the test.</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>State the conclusion of the test. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</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>
<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 that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> < −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> > 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> < 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 < <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> < 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> > −1.6, find the probability that z < 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> > 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>
<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>
<br><hr><br><div class="specification">
<p>Sungwon plays a game where she rolls a fair <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math>-sided die and spins a fair spinner with <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> equal sectors. During each turn in the game, the die is rolled once and the spinner is spun once. The <strong>score</strong> for each turn is the sum of the two results. For example, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math> on the die and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math> on the spinner would receive a score of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math>.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"></p>
<p>The following diagram represents the sample space.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>Sungwon takes a second turn.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Sungwon’s score on her first turn is greater than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></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 style="text-align: left;">Find the probability that Sungwon scores greater than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> on both of her first two turns.</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>Sungwon will play the game for <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn></math> turns.</p>
<p>Find the expected number of times the score on a turn is greater than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math>.</p>
<div class="marks">[2]</div>
<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>
<br><hr><br><div class="specification">
<p>The diagram below shows part of the screen from a weather forecasting website showing the data for town <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>. The percentages on the bottom row represent the likelihood of some rain during the hour leading up to the time given. For example there is a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>69</mn><mo>%</mo></math> chance (a probability of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>69</mn></math>) of rain falling on any point in town <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0900</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn></math>.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">Paula works at a building site in the area covered by this page of the website from <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0900</mn></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1700</mn></math>. She has lunch from <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1300</mn></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1400</mn></math>.</p>
</div>
<div class="specification">
<p>In the following parts you may assume all probabilities are independent.</p>
<p>Paula needs to work outside between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1300</mn></math>.</p>
</div>
<div class="specification">
<p>Paula will also spend her lunchtime outside.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability it rains during Paula’s lunch break.</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 it will rain in each of the three hours Paula is working outside.</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 it will not rain while Paula is outside.</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 probability it will rain at least once while Paula is outside.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Let the universal set, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U"> <mi>U</mi> </math></span>, be the set of all integers <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="1"> <mn>1</mn> </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="11"> <mn>11</mn> </math></span>.<br><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> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="C"> <mi>C</mi> </math></span> are subsets of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U"> <mi>U</mi> </math></span>.</p>
<p style="padding-left: 150px;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A = \left\{ {1{\text{, }}2{\text{, }}3{\text{, }}4{\text{, }}6{\text{, }}8} \right\}"> <mi>A</mi> <mo>=</mo> <mrow> <mo>{</mo> <mrow> <mn>1</mn> <mrow> <mtext>, </mtext> </mrow> <mn>2</mn> <mrow> <mtext>, </mtext> </mrow> <mn>3</mn> <mrow> <mtext>, </mtext> </mrow> <mn>4</mn> <mrow> <mtext>, </mtext> </mrow> <mn>6</mn> <mrow> <mtext>, </mtext> </mrow> <mn>8</mn> </mrow> <mo>}</mo> </mrow> </math></span><br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B = \left\{ {2{\text{, }}3{\text{, }}5{\text{, }}7} \right\}"> <mi>B</mi> <mo>=</mo> <mrow> <mo>{</mo> <mrow> <mn>2</mn> <mrow> <mtext>, </mtext> </mrow> <mn>3</mn> <mrow> <mtext>, </mtext> </mrow> <mn>5</mn> <mrow> <mtext>, </mtext> </mrow> <mn>7</mn> </mrow> <mo>}</mo> </mrow> </math></span><br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="C = \left\{ {1{\text{, }}2{\text{, }}3{\text{, }}5{\text{, }}7{\text{, }}9} \right\}"><mi>C</mi><mo>=</mo><mrow><mo>{</mo><mn>1</mn><mtext>, </mtext><mn>3</mn><mtext>, </mtext><mn>5</mn><mtext>, </mtext><mn>7</mn><mtext>, </mtext><mn>9</mn><mo>}</mo></mrow></math></span></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="n\left( B \right)"> <mi>n</mi> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> </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>Complete the following Venn diagram using <strong>all</strong> elements of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U"> <mi>U</mi> </math></span>.</p>
<p><img src="data:image/png;base64,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"></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 an element that belongs to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {A \cup B} \right)^\prime } \cap C"> <mrow> <msup> <mrow> <mo>(</mo> <mrow> <mi>A</mi> <mo>∪</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <mi mathvariant="normal">′</mi> </msup> </mrow> <mo>∩</mo> <mi>C</mi> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A factory produces bags of sugar with a labelled weight of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>500</mn><mo> </mo><mtext>g</mtext></math>. The weights of the bags are normally distributed with a mean of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>500</mn><mo> </mo><mtext>g</mtext></math> and a standard deviation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo> </mo><mtext>g</mtext></math>.</p>
</div>
<div class="specification">
<p>A bag that weighs less than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>495</mn><mo> </mo><mtext>g</mtext></math> is rejected by the factory for being underweight.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the percentage of bags that weigh more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>500</mn><mo> </mo><mtext>g</mtext></math>.</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 a randomly chosen bag is rejected for being underweight.</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 bag that weighs more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> grams is rejected by the factory for being overweight. The factory rejects <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>%</mo></math> of bags for being overweight.</p>
<p>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">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 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> > 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>
<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>
<br><hr><br><div class="specification">
<p>Hafizah harvested <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, 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>
<br><hr><br><div class="specification">
<p><em>Give your answers to <strong>four </strong>significant figures.</em></p>
<p>A die is thrown 120 times with the following results.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZcAAABECAYAAABNu3g4AAAM9UlEQVR4Ae2dv07cShjFzdV9igghBDwDRUQoKAIPQAGpqCItdQQNZZrlAYJElSpQ8ACEgoJFKXgGQCiKeA2ujm8O+nZ2vOusZ7wzzhlpY3v+fuf3jWc84yU79/Ly8lIoiIAIiIAIiEBAAv8ErEtViYAIiIAIiEBJQJOLOoIIiIAIiEBwAppcgiNVhSIgAiIgAppc1AdEQAREQASCE/jXrXFubs6N0rUIiIAIiIAIVBLwfS9sZHJBaV/GylqVMJYAJusu8ZSese6eeaL8M3MXTDSgiz7yida2mI+K4kRABERABBoR0OTSCJ8Ki4AIiIAI+AhocvFRUZwIiIAIiEAjAppcGuFTYREQAREQAR8BTS4+KooTAREQARFoRECTSyN8KiwCIiACIuAjoMnFR0VxIiACIiACjQhocmmEL43C+/v7Bb4734WwsrJSaoGe4+Pj7CVBBz/n5+fZ66GA29vbzvQ5+gdH9L+uBPQ3aoO/2g7eP6Js2wi1Nz0BdJ6uhK2treLq6qpYWloqcGPs7u6W0g4ODrKUiIGKf0BLPaurq6W+LAUZo/f29sxVvqd4gHl4eOiET6wX0Pega5batHKxHsnwHINXv9/P0PJhkx8fH4ujo6PXm3xnZ6fY3Nwsrq+vhzNmdIWJkgF6EJ6fnxmV7RED8sePH7O13xr+9PT02udsfM7nXH1hbMCD2qyCJpdZkVe7QwRwE6ytrY3EDUVkdmFvbEyemCxdjZlJKqADYWFhITfTR+zFJHlyclJuHXVly5Irsfv7+xG9bUfMbHLBFgi2dAAD7wxswMzLvUI3DfmZhiM7O8ojDWX5DoJlkceWmcX+o9Wn8/oENjY26mdOOOf79++Ly8vLhC2sZxruqVy3KV2F29vb5bblYDAot2D5xO/my+n69PS06PV65TjIMW9m4x1+5tiG///fShsT/vzs7Oyl3++XFeO4vLz82gjOmTYYDPATzC84IiB+c3PzNW+v1yvTHx4eyjTkxQf1MyDN1o805EF8GwFtxQ7g0kY70NFWO2jL+i0Ww9h62N/QDj6x+11MPehntJ+6YvmF9cbUwzZ4RFscexgX4xhLE3yDujFG0k84j9Ue2VTVPzLyVWVkRSGO7JgEwDoRP25AgW2caFgG+THJIKBjuOU58KKs/aCtNkIbPKmxK3qgAz51fR1DXxv+gd30EftqDC2oM5Ye3KvQwMB7mNexjrH0+OyFJvvw6ssTIi6WJj6M23EV52gv5nhXpWcm22J4ubm8vFx+sHTDdhbCz58/K1egdvvLZsJStioN+fDCDi+8cd/ZD1+w2rp0ngYB7H+vr69n/37C0sRWErYrcg0XFxfF4eHh6/Yyv8ln799ctdFufJOva8G+92tb20wmF4jECycM9njJiU6LAQUvCfHVuXHhx48fI8njAC4uLmb9jaMRsR2PwP7wzc1N0cXJH30RnxwDJkf7cHZ2dlbKQFxX3sHc3d0VOb/j45dFoMMN8/PzblT8a3eZV7XEcfM1ucYSzS6xsRTlsg3t26WpXY7zHQu3S7jk4zIQdbrbYsxj20N5ttdER52ybfCEtjbagd6Y7cAv1vdoD36K6auYemz/YD+0cTHO29IDn7TRVhttwA/wjzt2xPAP6oypyfULxgb3ngqtq0oPnkaGQlXGoUwNLwCAEwXac/ehEceP63BbDnk4sbjx1kTuRbLO2LBt22gzZgAf6sIx5kAMHbH08KawWnDu+j80y1h63D4XWwe5xNLD+nmkv3gd6xhTD+rmpy3/gFNMTaifD5top42xrkrP3G+xr0sk7KH+r/81SicNCHSNp/Q06AwtFJV/WoDcsIm/xUcze+fS0D8qLgIiIAIikDABTS4JO0emiYAIiECuBDS55Oo52S0CIiACCRPQ5JKwc2SaCIiACORKQJNLrp6T3SIgAiKQMAFNLgk7R6aJgAiIQK4ENLnk6jnZLQIiIAIJE9DkkrBzZJoIiIAI5ErA+0eUuYqR3SIgAiIgAu0T8P3h/b8+M3wZffkUN5nA3/LXuJNJpJlD/knTL7Sqa/6Brq5pgh5f0LaYj4riREAEREAEGhHQ5NIInwqLgAiIgAj4CGhy8VFRnAiIgAiIQCMCmlwa4VNhERABERABHwFNLj4qihMBERABEWhEQJNLI3wqLAIiIAIi4COgycVHRXEiIAIiIAKNCDSeXG5vb8vvbeO7zisrK42MUeHJBMCZn/Pz86ECx8fHr2nMgyN8lHLY2tqq7DvoU9QCfTmEcXpoP3xHXSn7hzbi6PY3arF5Uh8DrK1VeqArF//QB3X6HMdqlol+dH/7uur3kN18uMbv1zM/z2P/hrvPjpTjyCeEjfZ3vvk72ZY34twQsn3UHbI+9hnUabVRA37/G3kQ+JvtPo3MP82xTT20D1rRLrUxPsQxpB7rE19/g72Ij6GDLNrWg3Zj+gf1h9Q06R4iR6vLxoU4r9JTuJVXZXTz4RodCwOAQjWBP+FZXcvLy2AwGLmJcRP0er2yGDqZe5OjDNPH1f0naaH02DZhox3IkAYtsN8G9LXQ/a0tPdQBna5WpoU4htIzqb/R1tD9i/Xy2Lae2P6BrlCayAhH3z1k0zFW8wHBxoc4r9Lj/e9f6i6Xnp6e6mZVvoYE1tbWRmqwWxBLS0sj6d++fSvW19dH4nOIgB5XE64fHx9zMN9rI7b1Hh4e8EDnTU8pclJ/g63Qc3JyUn7Ozs6KnZ2dlCQM2VJXTy7+GRI34YL3zMLCwoScYZOnfueCvUt0rO/fv5d7x/v7+6VlGPDs3j/3k5HO/U7sD9pg9zeRD+VRzsYDED6sw+6Xci+RaYSJNhCHvLZ9m848LIu2EXx7/bTHDupl5hn+M27ygH9SvuGnwbaxsTFNsSTKnJ6eFr1eb6hv8f5IwsAaRtj+tr29XU6Ug8Gg2N3drXxvVqPamWWxerrgHx9IjH0HBwe+pLhx7rKoaonj5sM1lmJ2mwJLSpR360A++24A+bic5l466+fSjVsiOKI+u+WDa9aHdGsDy6M+2mLz27aZh3XRFrbl6kN+2xZtHndE2zECbBxnC7iQccj2Y+iBnfDLpFAnz6Q63PS29MBfaAs+Y//Ceej2Q9dHXpP6G/Khbdx/IUNbetryDzmFZIS6qu4h+IP9jeNb6LarfDT1ysU35d3f3xfLy8tFv98fSsYTNJ5suDrA0vPq6qrMc3R0VGBJzfD27Vue1jpi64erJ9R/eHhYlsMTIbcf7JLdrjqwStnc3Hx9usdTPspwO+bTp09l3Xy6xHFvb6+WXbEz4Wnky5cvlc3kvCXmEwW9X79+9SVlEff8/FzaCZ+xf9F/dhWeqphJ/Q124z67vr5OVcKQXa6e3P0zJO73BXdo2N98eWLGBZ1cfIZSIAZt+8FEhICJpklA/ejUtm6c+/ZY3XYmvTOCU7CN8fnz57IoBuwUtpkwKWJSHtdpurQlhsEX2xd1fOr6OOXrcf5Lye46/Q32rq6upmR2pS119eTinyqhFxcX5cM2H+rxgI+AazCIHaJPLnQQn/5DC0L9Nzc3U1W7uLhYcJKrqsBdvVTlayueT7njBlqwxoqsCwFa4N8UJvUmPOmvu7u7kWrm5+dH4lKJqNPfaCu0pf5OrEpPrv4he98R71nsQzd3iBDXxjuY6JMLROPp/927d0P6sSxFwCDIGRXXb968GcrHCy5bOeOiDDrKhw8fyi8WsNMgP87rTGZ4IYmVE21BWZSzdWHyov1oa5YBdmGgtR0DPFytWGGlsn3XhBd0YdXI7SPUBQbWP03qb7ssbm7b1+E79H8ObG3bM6m9uv0N9WAHAatp2zcn1d92+iQ9ufmnbX5/3J77cqfq5YwvH/Lyw5dFvHZfJvPlJdP5wh714kUt43m06bYsX9jzJTzK+9rmCzrWh3K2HdSJ4OZjfJn4+x/k8cXbPFXnaD9EoG7q4dFnV6g2fXaHrps6eKTfXZ8yPfRL/bb0kKX1o893zDftMZQeayfZ42httvGh/UL9bepBm1a31Up7QhxDaaIt1g845z3EdB55T/E61LFKzxwasDMS9uOcKJsc/RxPq1jl4OuNqTzRwaZfv35NtTUza56hHSY9oYmGrU/+CcszRm1/i48a/RFlDPAp1omtmcvLyxRNk00iIAIikCSBVt651FXOVQvyY/WC61kF7IfjCQMf7CUriIAIiIAI1CeQ3LZYfdPzyPm3LIHz8MaolfLPKJOUYrrmH7DtmqYqPUmtXFLq1LJFBERABERgegKaXKZnp5IiIAIiIAIVBDS5VIBRtAiIgAiIwPQENLlMz04lRUAEREAEKgh4X+hX5FW0CIiACIiACIwQ8P1t5MjfufgyjdSkCBEQAREQAREYQ0DbYmPgKEkEREAERGA6AppcpuOmUiIgAiIgAmMIaHIZA0dJIiACIiAC0xHQ5DIdN5USAREQAREYQ+A/6RrTMb75TBAAAAAASUVORK5CYII="></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Showing all steps clearly, test whether the die is fair</p>
<p>(i) at the 5% level of significance;</p>
<p>(ii) at the 1% level of significance.</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by “level of significance” in part (a).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</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> < 20.</p>
<p><img src="data:image/png;base64,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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> < 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>
<br><hr><br><div class="specification">
<p>Consider the following graphs of normal distributions.</p>
<p><img src="data:image/png;base64,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"></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>
<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>
<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">
<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>
<br><hr><br><div class="specification">
<p>A study was conducted to investigate whether the mean reaction time of drivers who are talking on mobile phones is the same as the mean reaction time of drivers who are talking to passengers in the vehicle. Two independent groups were randomly selected for the study.</p>
<p>To gather data, each driver was put in a car simulator and asked to either talk on a mobile phone or talk to a passenger. Each driver was instructed to apply the brakes as soon as they saw a red light appear in front of the car. The reaction times of the drivers, in seconds, were recorded, as shown in the following table.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"></p>
<p>At the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo></math> level of significance, a <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>-test was used to compare the mean reaction times of the two groups. Each data set is assumed to be normally distributed, and the population variances are assumed to be the same.</p>
<p>Let <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>μ</mi><mn>1</mn></msub></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>μ</mi><mn>2</mn></msub></math> be the population means for the two groups. The null hypothesis for this test is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>0</mn></msub><mo> </mo><mo>:</mo><mo> </mo><msub><mi>μ</mi><mn>1</mn></msub><mo>−</mo><msub><mi>μ</mi><mn>2</mn></msub><mo>=</mo><mn>0</mn></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the alternative hypothesis.</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>Calculate the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for this test.</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 conclusion of the test. Justify your answer.</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>State what your conclusion means in context.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</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>
<br><hr><br><div class="specification">
<p>A quadratic function <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> can be written in the form <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f(x) = a(x - p)(x - 3)">
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mi>a</mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>−<!-- − --></mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>−<!-- − --></mo>
<mn>3</mn>
<mo stretchy="false">)</mo>
</math></span>. The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> has axis of symmetry <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = 2.5">
<mi>x</mi>
<mo>=</mo>
<mn>2.5</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>-intercept at <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(0,{\text{ }} - 6)">
<mo stretchy="false">(</mo>
<mn>0</mn>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mo>−<!-- − --></mo>
<mn>6</mn>
<mo stretchy="false">)</mo>
</math></span></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">[3]</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">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The line <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = kx - 5">
<mi>y</mi>
<mo>=</mo>
<mi>k</mi>
<mi>x</mi>
<mo>−</mo>
<mn>5</mn>
</math></span> is a tangent to the curve of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span>. Find the values of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The following diagram shows the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f’">
<msup>
<mi>f</mi>
<mo>′</mo>
</msup>
</math></span>, the derivative of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span>.</p>
<p><img src="images/Schermafbeelding_2017-08-11_om_08.50.59.png" alt="M17/5/MATME/SP1/ENG/TZ1/06"></p>
<p>The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f’">
<msup>
<mi>f</mi>
<mo>′</mo>
</msup>
</math></span> has a local minimum at A, a local maximum at B and passes through <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(4,{\text{ }} - 2)">
<mo stretchy="false">(</mo>
<mn>4</mn>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mo stretchy="false">)</mo>
</math></span>.</p>
</div>
<div class="specification">
<p>The point <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(4,{\text{ }}3)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>4</mn>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mn>3</mn>
<mo stretchy="false">)</mo>
</math></span> lies on the graph of the function, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the gradient of the curve of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> at P.</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 equation of the normal to the curve of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> at P.</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>Determine the concavity of the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> when <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="4 < x < 5">
<mn>4</mn>
<mo><</mo>
<mi>x</mi>
<mo><</mo>
<mn>5</mn>
</math></span> <strong>and </strong>justify your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Galois Airways has flights from Hong Kong International Airport to different destinations. The following table shows the distance, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> kilometres, between Hong Kong and the different destinations and the corresponding airfare, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>, in Hong Kong dollars (HKD).</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>The Pearson’s product–moment correlation coefficient for this data is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.948">
<mn>0.948</mn>
</math></span>, correct to three significant figures.</p>
</div>
<div class="specification">
<p>The distance from Hong Kong to Tokyo is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2900">
<mn>2900</mn>
</math></span> km.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use your graphic display calculator to find the equation of the regression line <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>Use your regression equation to estimate the cost of a flight from Hong Kong to Tokyo with Galois Airways.</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>Explain why it is valid to use the regression equation to estimate the airfare between Hong Kong and Tokyo.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The weights of apples on a tree can be modelled by a normal distribution with a mean of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>85</mn></math> grams and a standard deviation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><mo>.</mo><mn>5</mn></math> grams.</p>
</div>
<div class="specification">
<p>A sample of apples are taken from <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math> trees, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math>, in different parts of the orchard.</p>
<p>The data is shown in the table below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAl4AAABlCAYAAACcA+3BAAAgAElEQVR4Ae197W8TV972+QPmiz/mQ6RIVqR8QEJRlA9BqHI+BLWylKCtItQWWQa1SlCLnG5VcrMiUG0dqjLVso722fD0qXWXqL3rbmux94Yu6W5SSrrCbHFbI7C6piQ0AQwkJCEyKCFO5np0xnPsGec4njjj4AwHKfjtvPyu38uZa875nTME4p/QgNCA0IDQgNCA0IDQgNDApmiAbEovohOhAaEBoQGhAaEBoQGhAaEBCOIlnEBoQGhAaEBoQGhAaEBoYJM0IIjXJiladCM0IDQgNCA0IDQgNCA0YCBehBCIP6ED4QPCB4QPCB8QPiB8QPiANT6QTzVXEa/8AuKz0IDQAF8DdFDa6v8EhsqwoB3sQDVpBxwCg4gJKzXA8yfDlYNXwEoBRFtCA3bSgB3iRWCoDI+0gx2oJu2AQ2AQMWGlBnj+JIiXlRoWbT1TGuAF1FZTgMBQGRazgx2oJu2AQ2AQMWGlBnj+JIiXlRoWbT1TGuAF1FZTgMBQGRazgx2oJu2AQ2AQMWGlBnj+JIiXlRoWbT1TGuAF1FZTgMBQGRazgx2oJu2AQ2AQMWGlBnj+ZCPipWAh8RX65E8QmUpbqTcTbSlIT/2EM6f+AFnuQ3BkDAsmapW1yEICg31/xH9H7kEpZ0fp+4id+RCyLCMQ/AbjC2XtrZxI1t02L6DW3chTriAwPGUDaN3bwQ4Uih1wCAwiJqzUAM+f1km8lpAcOg6v9/cYnFg0yqbcxegHB+Ht+hix1Irxt5UJDL1zAF55FLPGXwp+Wpn4EvtrHajruYD5gqX0P6SRDHeAEBfkaEr/Q/nfP/4BgZZqEKkB7lfcaGgIILZc/m7X7CEZhocQOOUoykdD5xEL7IZEqtDgboe7oRWB2KM1xbLTj7yAWo1vGanx8zjt74K3vRXu9g50932FRCrPQZSHSJz9E7o7XkGrezc8vuMY+G4C5eax5jAASuoGvjl9HD7vi2h2tWJvx2H0nf0ZqSzPTmPq4il0eT3wePR/B/HB6N2ykn/rMOitp2BpfBDHOrzw+k5ieDJvvNMXteC9GQzK7EX0dXrz9Kvp2vs2Tl1+oOnZpM9ZIHd+E2ZwAHr5dsHlfgUd3X/C2cTDrPyzkT+j0+BHOZ/ydn2Ey7N58ZMvyAY+m8NgJiYAKPMY/+Y0/L59aG9uhntvJz/+NyAvr6pZDAb53K1oXxXXutbpTfbn76HT041QovxTC6YxFPUniqGYz+lwWvyWh2OdxGsF8yOHUUWq0Tbwi3EwnRmCz0HPvGhCz+iMQXQlGYZXIqjuGYXZy3L5iNcKUtEPLXWe5VgA9VmdKFhOLxt1Y9DGJn3YDOK1HEOgXgJpG8A4vQAvp5HOXog3CedT7IYXUEZx6CzsJ/DWSpAaPThy4gT8b+9BgyShdl8IY0uaspQZXJbbVALb6DmMEycOw9NYpcbSm0N3yupLxTEASI8j3NkAIu2A58h7kOXfw+euAyH12Be6jiUVdApR2aXOeNA2c3/12B++ibxbMaOaNvjJOgw6QdI3EPJSjBRL+W/mzGDIjImSTrd6PVdhV/BnrMCkz+mgWvm2OA4F6YkwOrMxIUP2H4TbKYHUHkBo7DGARUyE30CtwY/0WNsRLOOFvzgGszGxgImwD7WkCmpcyyfg97XCSfLi30oDaG2ZwoAUEgMdOvnexdvtjZAMcU0bXEZqbAjynu2bFg+0V3MYzPiTmTJlMMIatlgn8QKgESzJG0Yye5FV8Gj0GKrVQHFgR+AnPMniYGStAYdGprPfWv/G7IyX2XLmJUxHZTjJTvgjD81XKnfJzSBe6ShkJ0GNP4LyzgeUW1mltV90YFBuY7BzG4ijA6EJdof4GIngy5DITvSMPlA7XhkbwG7Jgcaj32KWcbHZb3G00QGyow+xJ9lAK03QNWoVxUCH3Xg/dpIqtPRf1UgWgMcX4d8mgewKIqGyKo14OWVEyzfFykViHQbWfBr3h7pRJ+1Cx2u7KoZ4MemMr3OI+F0g0l4MjC0CJn3O2IZ1n4rb4jHi/W0g5Dfoj7PbcAWPI8exjTDyWEAezeek3QMYKyOTL47BZEwsX0X/TgdIyynE2U0WNHuRp08elfuD6HQQOLyfY4LdMS/FEWyrAal7B6PzGSVnxqcqNHYEcNq/e1PigXqAGTsAZvzJTJkCPmfB1zwc6ydeygTC3lqQqsMY0QyTBV+1A64dVbrBmEo9g9GeJhCHD4P3cyNybunCA4+3C/7T5zGuX35JxRCSZfxpZEK7W9byqPoOo8PjgdfXgxOyrOYWyZ9EMavoCNXFG4iF/6Aue3h97yMUvactt80hFjqJHk8TCHHC7fOr9XN9rNaysjCByOcBdHfQKf798PmDGIo/0NpLITHYj/d9bjiy7fVjMMFb6lzCXOICQn9+Bz66HOP14Wj/33VLTitIxb6ALH+B2ExSJ/9xnP7mhm5Jh2IIQA7FMDP1E8Lyb+FV5TqNb8bnc7MjXOKlm25VdZjfNp0+/xlnszp+B/2G5SSmHy2f7n0f3DRw3T68L8voG0xgAUy+H3AncRZy137D8vPa+qTts/oxzCQjGKBLdJ5OdPf/A2Op5cySV/AYOlTMnyKSfHqUjxdQTEPq66NR9FQTEE8YSd0PyvgA2rLLwAtIBNtBiBuBmN5vHiLi3wlC2tAfp7MA5flXFAO9uVdvLPJmuZ/8hMAOhy7WK5t4mcOQ0bGikt5qNB79J659uTnpC2bswPMA5U4Y+2gMdg7iPuXnpnyO15I13xXHwWZGX8HAOItdBU9ifdixJvFawp3wATjINnQO3s6Nc9aIbWilOAaTMaHdmGZXBNReUogF3CBPnXixyRInPOFJHf5FjA+8YiBXSuo6vvtuDCn9NXYT0nnM2AEw409myuhUYPFbHo71Ey8ww+iWFJVfMNBWDYfvf/B3uQVE2o/QhDbnpbF+6aUQJtjdfOoKgt56EGcrfP4T2lSzA7XeT5BgSS15xEGZvwS5pTq3ZKNO2RJIDW54jg0hmXWKKtQ3bIPkdKHd8yJcdApb2oP+a/SiNoVRuQPtrloQNS/pZXg8XrwRSoCXMaAwOUktmjuO4P2e19HaUAUivYBjF2jeCm2vE3vdDVqeE22vC/3R1ZlsmbsGCc7m19BDl5zYlPP+LzGh3lgw4liPF9yNmvwvw037I03ILTlNIuxxgtTvgruxGk7Xi/DsdaNBIiB13Rhi5DZPf+p08bWP4a11wOk+CH922rse3oF4ZjPA0nWE9tWD1Lbj0AkZJ3peQ7OzE+FkjjBnfHIZs6Mn4dX6pTbY6/Gis/8yUmDyPQcX7cv1PFxaG8X1SVvX169Gg/tlTb8S6g7KOOmtV22+l/Xd0ofY4/LNCK0Vg7yAMpSfH8GhqtXEC4bvpzFyqAGEdOTpmflDeWeKi2KggFgOY+2rOHX5HtLpB4gFX0OtwS+1wa2mB0O3kkgmk7g7t1DWCyTTtXUYaIspXOvfA0mNpYVNyxs1hYEBzr6y2dPnIUe12XaDb2ULwuhzuu8tflsch4LHsT600OV274e4PLWI9OwPmeuBfvzKl4vNxDR9gGiZ4704BrMxwXJg6+E9dQlT6SeYjQXVMbjuzXMZopyP06LPxTGwlah84lXoeyoYG5PKv/ROeyuOgZYy409mylikeE4zPBwlEC9gJRHELuLAzv6rGcKiLj/SO+IEUuqS43b4hu6pImTu7vVTyIsYG9gLibRCjs5qA/My5iPvo0l/N2MgDsuYGXoLDuKCPzKXgUZn3vbVgezsR1xlTcwpaEAHEZulmScKluKn0EIkbJcva8thrFwx52FyNqFrcEKb4aKzbsPooUtAugEgcze9dnuZu4YE5tiUbnbKeR9Ck1RWJpdefkCZGUZ3naRbctKICamHN/gDZtX2ljEzcgR1RLfMa9AfgJXrGNhdA9J8ElE2s6jMINK7KzcbqdapwZ7QTc0uCtKPHhVO8Nbu6IwJ/Ey+ajQf/QeSaQXK4gIWFbP6ZPUpviuZmT5mayKhzvcFbqjyP0K8/zfcnEKO75flK15AGTpa+RnBXVUgjtfwyY1Hmk6XMPfzp+jIEjINb00vIot6Asn8IX9gNPSw4Q9FMag9KEgnh9HbSnOeavGcqx6S8zc4ekafXM/uKvW5OHVwH/q47LOS1mFQsHTjE7zkqIM3dAPpbEyuHdsbNoLpi0xeT/MX0FMnQWoLIsGWskz5XF47Fn40Z4tFJEfeRyu9KXbugKuhGs7Wd3Amm1yfL9AK5kffQR2pQVswnlvuzi9m0WdzGMzEBB3Wb2Gk90U1r8v53HNokOrQevSMbqXDIqHzmjGDIXMdp0uNn+LGgrZ2m57BzwMHUEV44w4bk8ofDxSOGQwZ2Gb8yUyZPCVa9JGHoyTiBcMyA5uy1JZEtDuuqkMjmFcHrk5I+uUSbXaMbPdj5HbmzpjeHSf/E0KHQ7cLz0AcmMEZSaEa0ZYwszklrEyeU7Dp3uxyT4Fy+UrOyikjarggziNKZ/V0mMwQL33zysIc7iZvIRbcq5vSLSSXhpMw7NqFOotba5ktMewJYZJevw36AzIEWMJ2/zBuU32rf7fxn9DrKqFVd4LODuNQrQRH+wf4Z/x+YcLFwKxFvKp/h5GHunlE0/rk4WOzrEbbZvTOGyCYgOV95QWUscdlzF48gWY6G0l3vO7dq822auRE9UkeXtoK84fy4iuOgcpCLzIXEfS1QJK2oaGezsLmX0CWkUpcwNmRi4hGo7g8+hUG/C+rCdIGYmBUkCWfLMOgTGLwQIOOyDAbGP3OEqHzGjGHQV+JLb3VYV94QjezaMbn9O1Y+94cjkUkI0H4XNWQ6htQT+NjFZHXycVuvBwHEL6T2cqh+9Xyt+YwmIkJGsZ3EAm+CZekrcQQqQjJtAaOKQzKNC72uiGRzMrRXrZCpOZq88adzYsHqgVTGFR1mfEnM2Ws0X1+KzwcpREvNlsj0WWo+UyyZPUxjD5SAJYDtp0SlqnMMor6XrubZ0SIu2NFQn0glplFMxAHBUuJINqkGrj9XyE+eRtjF/9vZsq2exgzatMFnIL1t17itaoeU+fqfswRL2r40zii7hrRzwqwQX11u5ke2UwCK1fgQs3kZYTMoD+Wk6DvV//+ee0YCN1dAV2KbT+CYORO4eMotD65M15MjqzaMon4+flOOYKxFj6+biqfeFHwWm5fPz3jTYbc/zlG/nUaB6sIMjcnmj2lgxic0hHVLPHKzR4zVVr5yhsU8ttXps7jWHM1HK3HcW5sHsrCbVwaeAuu/N2ZqyrexVBXveEmJb+IFZ+twZDWZo2b0BW+qt2YsJujHegZuoHpVP6SuxXSZ9owg8HQ29JV9LdUGZKgc78X87lcSavfFceRxtSFXjRLTrT6/46xVBoLyUsY6Grh7Kaj0uVWLcwfLbQxVMUxAKZiQrmLC8degOT4DfznfkFKeYzkpdPoclXrdnBuTNZCtc1gUOumZ5C48Bf0q/nSf0B/6J/418BBVBFeigN/HC4kw0a/N4fBjD+ZKbNRaQvX5+EokXixdeDt8H01rC6nOHxDyBwiwWYn2tD/w3nI2yXjMRKMILQEELnDZl7Y633MsSlPA3Fga7TVcDodKhOmOVqN3j5cyCZXF3AK1l+pxIsdlZDVK0uGZmSFkRpGHLIFdW9WkLr8BzRL1Wg+9DGGI5cRjV7CkEyXyli9AvKvSh4sQryYvAb9MRmr0BL4F+5kZ7w0vd+d081uKUjP3cDF8B/RSQcIaTcCsQInqZVCvJh8We3k65OHj6+brUG8skCzbzJT/CxZnSXR65ONadF8vWSrW/qGNygYO+DtCKIlHiIqPw9CcnFgrEc/MQzMx1eXsOIbazDcK3AcRu4GRZ+naoXc+jaKY9CXZktvutQC/c+c90af4xSw6KuiOLg7/WjO1PeQmxwg9flnID7AaA/dZJK/+cQigTnNFMXA3UlHGzLGBHc3MM1Jin6AJqKbZODIsNGvimMo1AOL2fzxiJbnj8OFWtro96YwmPGnJ7zdpWv53EYlN9bn4SiReOWOlah+sR1tEruIZDpkDvdc+240rmLO9zDk2w5S9TaGZvR3+EZhjUtlLHG3FxcfPsDN+FUkbs3qyAKtW8ApChKvIsc/sJm7vN2Y6owezS3T7eosPuPFZq3YciGVdwmToX0c4rUdneGbuVkmdmfLZhRZ8nnVQYRv53YFZXLZdGel5REvdgxIVdeQNkOYp2/Ox9X5eXmF1kO8TOvT5sQrm1fHlk2o39Ll+LzdWso4Qi85QbYdR6SMycS8QcFoZS1es0vd7Fd2g7UGqVK0GS/9ZhtW3cJXazDMYjr2NcLhsO7vCwQP0eMktsEjf4ozo+NleyJFcQw6ha136W2Vz+nasvhtURzsvEeWEsH6Z6kIeTPl2V2b+8K4o0+BZPXK8FoUA8zExEMtL1mfM5sR1riruQwA1rVMZ+xfmb+I3iYHHFx9F7jGGpuw7FNxO+R4CFnLn+5rZ4yuVaZ8k9ncJdPSiRe7kKpLhnlb3hcvqzNdVHHE8VYewaI74t5FI6mGy/chvo6NIZmcQCL6T4QCJxFmB+MZiMMSkoNvagfq1cLVvlc9vdnrewf9g1e1BPMCTrGKeAGZA08daOr5Et9f/g7nr0zpciSY37CEdQm1ngDORX9GIn4J5wL7UEtq0Np/JTsIFydeucRyX+gnTCYnEB/ug6eWHobILlxMfpoP1ALfR39HJHpR668aLYEfkDlUQCMmdF3e9SY+GrqIaOQsAp564+yUQX90xn4Ko0ebtba/Rmz8NpKTCUSHQwi8ewaJZXoXLWN/718wem0cyeQNfB98HXW686aYZrKv6yFeMKtPOxGvFBJnP0FoOIJY4gYSsW/xZS/Ne6rFnuC1rP9kN1A0vIHgyCVEs3YvfzJx8cGN5RJVo7n7U803xnFt9FN0N1dnN5msjH2KV/e9h4Fzo7gcjSJ6+byG1Xg+WdZ3LHxjFYbVIrGYZDG6uoRV3xTHwHrSLb1l0yzYb/TVnM/pa1j5vigORhql59H92QVco+PQ+FWMfnYYzZIDTfL32jhHpWIbaHage+Q+Z4y2UvJcW0UxwFxMMNIoNR/GZ6NXMZ68jfFrF/BZ9/OQiG4naq5ry94Vx0AnpBM4G/wLhiMxJMYTiF34C3rpIakOD4L/0R1tk55GgsZ0dpWmAb6BUTWX88pkqmx2MYXBjD+ZKWOZ5lc3xMNROvHCE0yE9quJeUSfw6X2yw6JIzAetKoJpTxE/PPfZU4r1uV6SY1v4W/sUURTg+iQWLI9SxjdjvZDxzO5MvJ7OOLZASm702UZU4MHIWWJjNYXh3iBHZug9r3GlC+VM/Q2XDT5k8kp7YA38K26W4+puDjxoudjaUdosHacL+JYjxfV2aUaNsjX47WeQ5kdP2rZari6QoiznYhsxqvai55jdLeMJpvUgq7Q1dx5Xwb9ZSRVUlfxeXdbro5atwqNr/8VEysKlsa+xAH1xHSGtw6tvcMGrAyz+solXncw2FEHknfnqpY3pU9efaYb47JW5S81su3kTJ80ibgN3aGYdrPAtLmM1LVP0GnQ/Xbskc8X1j2rusFX3qCwqsn0bVwIvIpGfRzkJQnTx9nI6q5HHVYaK3/8Wj1/bVWbFn5hFYbVIvH9bnW5jX9jCoPajbb0VjAFwKzPbVxmXgvFcdCk9G8R8NKxW+crqzZrAGC7Njf5yJjiGOgCS/GYoCfwJy/0wWuI6yIbCXhKLeE7UxjYMTFZO0hwun+HUIydU6l1rN3E0zbz/6SOQUyVIJ+ZKqYwqBt/ivnTOnzOjGDrLMPDsQHiRZ0vhekC5/Vkdu7dXSMhVUE6lUQiRpn0j4jfnFm1dJiavpepz9Zx8/ODFiPw1+jOSVLleYBU9sgGqqE0UtN3V58plJ7HZPxHROO/YpbllXEVSuW8hbjK+OO4Ocs5m4jbL6exdArJxBVEo3FM0kRdWi+bX8UG+czddXruJmLRKGLXp/L0op8RWsLcOG3vCq5P58tFcWv6M4iSRip5XW2bypGPR1mYwU2ql+gVJJKp3JKnoQ32gdcH1dcDJKcL1S2mT3591Z+yutL6V/WuywtkYm3SKy+gVnWtLGDuViKj79h1JNdI0FYWpnBdjQeePVe1bMkXpjCoPa1gYe72GvFKZ1V1WDm+ZYnAnEYsxZDXPtfv8spY8XF9GO6vEV95dijic1bIrm/DNA4zvkLL3F3rGqLv2br3pjHAREyo5pjFLXXcj5q43liDwywGZSEnWyyRzLt2arKodmB52PrX8trGLAZVSrP+xMbipzw+bYx4WeMjxVthzwRsfg8j4xmCpizcR/zccbilauzqv6J7RFHx5iqzhJF4FZZRT7wKlxK/lF8D6xoYyi9OST0IDCWpzfJKdrADVYodcAgMlrt3SQ3awQ6FYmJrEC86ZcsO3DNMd+Yvw5Vk3wqpJIhXhRjCtBh2GBgEBtPmLmtBO9iBKsgOOASGsrq66cbtYIdCMbFFiBcVny1RXcTI4P9iaDSK+CQ9otUu/xSkp+M4P3IZE9l8Lh62RUzHv8PIpV9z+Vy8YuK7smvADgODwFB2NzHVgR3sQIHaAYfAYMply17IDnYoFBNbiHiV3c6iA6GBdWnADgODwLAuk5etsB3sQJVjBxwCQ9ncfF0N28EOhWJCEK91uYIoLDSQ04AdBgaBIWfPp/nODnag+rMDDoHhaUZCrm872KFQTAjilbOzeCc0sC4N2GFgEBjWZfKyFbaDHahy7IBDYCibm6+rYTvYoVBMCOK1LlcQhYUGchqww8AgMOTs+TTf2cEOVH92wCEwPM1IyPVtBzsUiglBvHJ2Fu+EBtalATsMDALDukxetsJ2sANVjh1wCAxlc/N1NWwHOxSKCUG8HscQPNCJ3pGkuUcfLCcQeuM1/Ff4Fyyty41EYbtpwA4Dg8BQGV5pBztQTdoBh8AgYsJKDfD8yT7ES5lGpM8Hj/cQgrE5k3rTnrkl7cXAGHvgdLGq2hPoy/zw4mJSiN+fvgZ4AfX0pVqfBALD+vRVrtJ2sAPVjR1wCAzl8vL1tWsHOxSKiRKI1wpS0Q/R6elGiD3Qen36LEtpZSKEl7RnyTk6B3HfzJPsV65jYHcNpJdCmDBTXpVcwZNYH3aQenQN3TU3S1YWxKLRp60BOwwMAsPT9qJM/3awA0ViBxwCg4gJKzXA86cSiJfZE9atFL1YW9oDu6Xn4H6hFsThw+D94kerriSC2EWq0Tbwy/oI1OJlyNslOHxDmCkmmvjdthrgBdRWAyswVIbF7GAHqkk74BAYRExYqQGeP62TeM0hFjqJHk8TCHHC7fNDlmX8aWQCK1hBKvYFZPkLxO7EMSj/Fl79sp8yj/FvTsPv2w+PZz98/tP4Znw+j/AsIzV+Hqf9XfB6PPD6juP0NzeKn9C+8jOCu6ogvfQprvzzMKqIEy+FxvPazlclJZCdkEgb+uOPdT8uYir2V/R1d2bk7HlPxSjLf8Qn0Qdam9MYOdQAUnUYI/Mrurri7bOkAV5AbTX8AkNlWMwOdqCatAMOgUHEhJUa4PnTOonXFEblDrS7akFIFRrcL8Pj8eKNUALLYDNh2+Fy1YE4n4Pb1QhPeBJQHuJa8DXUkjq4fb+HLP8ePncdSG0HBhIpDeMyUtc+hrfWAaf7IPzyCfh9rXCSengH4lhYQxOZmSuNbD2+CP82ycTy4QxGe5pAHG9haGY5K8P85ZNokarQ6DmME0xOFes+HBu6pRGvRYwPvAKyirStIaT4yXYa4AXUVgMpMFSGxexgB6pJO+AQGERMWKkBnj+tk3hRcRjBckGOMtKk/55Aan4Xw8lFQHmChcUVrIwNYLdUhWb539nZK2X+InqbHMjmY2n5VqT5JKLsWYXKDCK9u4osHaYQC7h1ZeYQ8btAiiXMKzcR2lMD4pQRza5K3sOQbzuILnFeuRPGPocDO/uvgtEzYBkzQ2/BQbbDN3TPShuJtraQBngBtYXEV0UVGCrDYnawA9WkHXAIDCImrNQAz5/KQLwa0T0ypVvmY7NDzfCPjCGZTGp/VxHq2JYlPsr4ANqIhO3+YdzOlrmN/4Reh4PkkzydWp78hMAOHYGDgseR49hGqrAr+DMKLgSmo5CdBKQ+gFiWUU0i7HGC7AlhkiXbPxpFTzWBU44aHsidjspwEmdmRk8njnj77GiAF1BbDb3AUBkWs4MdqCbtgENgEDFhpQZ4/lQG4pVPklKIyi41IKkAq/404pMhMpzf1TrPIxB7xNEFI1kONPr+D74MhxGmf6d74KY7HHf0IfaEMai86ox47QoikWVnj5EIvgxJ2g3/uauYTP6Ci6deRS3Zge6R+zoyCQjilafPZ/AjL6C2mhoEhsqwmB3sQDVpBxwCg4gJKzXA86dNJF67EYj8qpvxysx83Z1bUAlNhshUoSXwL9zJznhps2N357DA5U/asiKP0KnfuRGI6ZdDderUEvKNS43ziAV2Q6pxwqkdTUGkHfAGvkUyrRdAwaPRY6gWM146hT57b3kBtdW0IDBUhsXsYAeqSTvgEBhETFipAZ4/bYB47YQ/8lAnX6HcL5YPVeTcq5kh+BwEVV1DmNFzHF0Pq97Oj+BQFYGjI4T/5JG126MydhAJ2/wXod+zmGvjDgY76ow7E7VZsBr/v/Bw9lfEryRwSyOGuXr0XSGsxlLik701wAuorYZYYKgMi9nBDlSTdsAhMIiYsFIDPH8qgXgBy7EA6okDTT1f4vvL3+H8FZrTVZiMKLPf4mijA5LrTXz09U8YTyYxmYhiONSHd8N0RyQAZQqjR5tBpBb4PvoasfHbSE4mEB0OIfDuGSSyeVhMJSuYH6FHR2xD5+BtwzKgWkLL/dInyrOamdfHiPe3gZB2BNlBsMokBg80ZJZDnS60ezyZIyWOnsLgtQe6HK+HiPh3gpB9CE2KBwcZ9frsfOIF1FZDLzBUhsXsYAeqSTvgEBhETFipAZ4/lTay4yAAACAASURBVES8sHQdoX31GYJCJNQHYljGMqYGD0LiJsIvIxX/C7rpERL6ZUFpJ17/281sArySuorPu9vg1JchVWh8/a+YyOZhMZVoOxALHpaq7XYkO9Ez+oBV0r2y5ULdzkRlGhd73ZBq23HohJw5v+vEYXgaq0CklxFMaHNnbJnSkB+ma1q8fSY0wAuorQZcYKgMi9nBDlSTdsAhMIiYsFIDPH8qjXhRqdLzmIz/iGj8V8wuaKwoncJ08gFShnwoHYR0CsnEFUSjUWM9XRG6jJdKXkeMlonGcXM2kwNmKKJ+WMHC3H0kp1O6mShjKWVhDneT9zHH5DP+DMxfQE+dhKpDI5gHsBzvx85VJ9krWIz0okaXz5V5PJEDOwI/4Ul+m+LzM6MBXkBtNfACQ2VYzA52oJq0Aw6BQcSElRrg+VPpxMtKyZ5aW9oDr6veVg9RzSyhVqG59x8YVwnfCham4zjn3w1JehH91+jOSvZ4ovU8WPupARQdl1EDvIAqY3dlaVpgKIta192oHexAQdsBh8CwbvctSwU72KFQTDzjxAva4a512BeegJK+hZHeF/OWOomad9YVupo5/FVdZqxGXfew+U0AZXFL0ejT1oAdBgaB4Wl7UaZ/O9iBIrEDDoFBxISVGuD50zNPvNSlzVs3cSvFjq9PIzUZRzQygsEzQxiNxjGZ/Y2aYwlzkxOYLrR8aaXFRFsVrQFeQFW0wBzhBAaOUp7CV3awA1WbHXAIDE8hADhd2sEOhWJCEC+OwcVXQgNmNGCHgUFgMGPp8pexgx2oluyAQ2Aov7+b6cEOdigUE6uIFwUr/oQOhA8IHxA+IHxA+IDwAeEDG/eBfKK5injlFxCfhQaEBvgaoAPSVv8nMFSGBe1gB6pJO+AQGConJmI//oit/sfzJ8OVg1egMkwgpBAaqDwN2CFeBIbK8Cs72IFq0g44BIbKiYmtTrqo/Dx/EsSrMnxMSLEFNcALqK0GQ2CoDIvZwQ5Uk3bAITBUTkwI4lUZthBSCA1UjAbEAF0ZphB2qAw7UCmELSrDFnaxgyBeleFPa0ihYCHxFfrkTxCZYkdDrFHc0p8UpKd+wplTf4As9yE4MoYFS9svobGFBAb7/oj/jtxb/RzLEporWCV9H7EzH6qPVwoEv8H4gtknnBdsccv8YJfBbcsovICgwg4FFPMUvha2eApK53RpFzsI4qUadwnJoePwen+PwYlFo7mVuxj94CC8XR8jlsp7sOLKBIbeOQCvPIpZY62Cn1YmvsT+Wgfqei6oj/MpWDD7Q+GHdGeLlOvN4x8QaKkGkRrgfsWNhoYAYqse6l2uzgu0mwzDQwiccrTgI5UK1FzH1/OIBXZDIlVocLfD3dCKQIye7v9s/Cs6uCnTiPT54FEftk4fuK7/24+uU//GrLKM2cif0Wn4LVfO2/URLs+Wz5mKYtBMqaRu4JvTx+HzvohmVyv2dhxG39mfM4cKrzK3gqXxQRzr8MLrO4nhybyxYlX5jX1hOQZlHuPfnIbft1+zWSe6T40iWehRaBsTX61tFgOysu1De3Mz3Hs70d33FRIpnY/oy7hb0e7tgn8gUlb5mQrM4VhGavw8Tvu74G3fBZf7FXR0/wlnEw+NN4nKQyTO/gndHa+g1b0bHt9xDHw3gXLf25nDAJiPCXpj/iM+730DnjdCSOhMxfRm9atZDGb8SZn6F/q6WCywscmLzg8uYKqM99kUgyBeqmesYH7kMKpWPc8QwMwQfA667bIJPaMzBj9SkmF4JYLqnlGYvSyXj3itIBX9EJ2eboQS1sxLZR41VI22gV+gQMFyetk4gBi0sUkfNoN4LccQqJdA2gYwTgNwOY0yXps2SXHmuyk6uK3cRHg/e5g8Z0uy+pD1RUyE30BtwWNc2hG0yE95yIpioJXS4wh3NoBIO+A58h5k+ffwqQ+8r8e+0HUs5TecvoGQt05ddiLEBTmayi9h6WdLMSgPcS34GmrpzUT7b+GXZZzoeR2tjW9icKp8V0xTGLCAibBPla3Rcxgn5BPw+1rhJBJq94UwtkSDUHukGZP/xBF0NNeCkGo0936H2TJeKKlRi+NQkJ4Io7NWgtTowZETMmT/QbidEkjtAYTGHmd8Q5nBZblNvalTsZ44DE9jlXp9eXPoTlnH1+IY1hETyjzGhmTsqZUy8eCUEd2EBRlTGEz5E5COyquf5kJ9bv+XmMibY7EysCkGQbyYRjWCJXnDSGaDWMGj0WOoVi8e+Q+PZmStAYdGplkrZXg1O+Nltpx5ETOOuRP+yEPzlcpdcjOIVzoK2UlQ44+gvHMa5VZWae2bG9zy21bwOHIc20gNdg9cR8Fx6/FF+LdJkHYPYKxgofy21//ZDIbMw+Or0NJ/NUeyNPmISh71/aZxf6gbddIudLy2C5VCvMxhUPA4+gGaSA1aA5cwu4l3EWbsgOWr6N/pAGk5hbhKsqje5xDxu0AII+jLmI1+hbPXHmRnupX5i+htcoBUHcbIfBmdyRTxeox4fxsI+Q364+w2nMVEFXYFf1ZjYmVsALslBxqPfpsli8rstzja6ADZ0YfYk+zFR+98lrw3Ywtz/rSIsYG9kKSd6Pjz/4PfXQ1SScTLlD8x4lX+G6h841E7COLFtKJMIOytzQtiLZiqdsC1owrGwXgGoz1NIA4fBu/nqH5umtYDD50KP30e4/rp8lQMIVnGn0YmtIuTlkfVdxgdHg+8vh6ckGU1t0j+JIpZRUeoLt5ALPwHdHlpufcRit7TBqE5xEIn0eNpAiFOuH1+tX6uDwYy96osTCDyeQDdHV54PPvh8wcxFGeDWgqJwX6873PDkW2vH4MJ3h3+EuYSFxD68zvweSlmH472/123RLCCVOwLyPIXiM0kdfIfx+lvbuiWdCiGAORQDDNTPyEs/xZeVa7T+GZ8PncnyCVeuil+VYf5bdPp859xNqvjd9DPXU7S8une98HtIHC4fXhfltE3mMACmHw/4E7iLOSu/Ybl57X1SfXO6scwk4xggC5HeDrR3f8PjKWWM9P7wWPoUDF/ikjy6VE+MwN0zpO0dzR+9tWtigdjuSXcCR+Ag2xD5+DtnE2NhSz5ZAZD5saCzehq3T75CYEdjrxYBzIXx2o0Hv0nrn3ZUTHEyxyGexjybQfZdhyRx+W7sPMMZ8YO0G50sjPMakMpxAJuHfHitK7cRGhPDYh0sKyzdrTn4jhSiMqUKL6CgXEWuwqexPqwgzDitYBEsB2EuBGI6cfSh4j4d4KQNvTHtZkxDtyNflUcAyMjxWJiGalEBN+p4/Ikwh5nZREvk/6UiR1BvEolgTx/KuE4iUWMD7xiXFJUfsFAWzUcvv/B3+UWEGk/QhNPMv6vsWrppRAmtLFMSV1B0FsP4myFz39Cm2p2oNb7CRJsAT+POCjzlyC3VGvT02yKnUBqcMNzbAjJLPGqQn3DNkhOF9o9L8JFp7ClPei/RgN4CqNyB9pddOqd5iW9DI/HizdCCfAWEbJyklo0dxzB+3TJoaEKRHoBxy7chaK214m97gYtz4m214X+6OpMtswdnARn82voOcHk10/XMuJYjxfcjZr8L8NN+yNNyE2vawFcvwvuxmo4XS/Cs9eNBomA1HVjiJHbPP0By0hd+xjeWgec7oPwZ5cp6uEdiGc2AyxdR2hfPUhtOw6doEssr6HZ2YlwMkeYNaNidvQkvFq/1AZ7PV509l9GCky+5+Cifbmeh0tro7g+aev6+tWqjTL6lVB3UMZJb71q872s75Y+xDb5IskGdl5Asd/4rwqWEkG0SQ40yd+j4KVjKY5gWw1I0weIlhmbKQwsh7H2VZy6fA/p9APE1OU4vV9SxClc698DSfXDBSTDlUO8YAbDYgT+GgKHbwgz6RSmxuP4IT6O5NxCWckv1ZwpO4DlVNbDe+oSptJPMBsLqjFd9+Y53OdyxRUs3PgUXnqDtC+MO9wyfG8t5dviOBQ8jvWhRZJQ6/0Ql6cWkZ79IXM9yI5f0xg51ABCOvLGHjZGlnf1pDgGwJQ/GRRYgcTLpD9liNcO9AzdQDKZRPLuXNnz7FhMlEp2Kqkez59KIF7ASiKIXcSBnf1XM4RFXX6k7D+BlLrkuB2+oXuq2ynjA2jL3snQr7TpV9IKOTqrDWjLmI+8jyb9Hb6BOCxjZugtOIgL/shcxp3ZzMHOfsRV1sSCkgZ0ELFZmnmiYCl+Ci1Ewnb5srYcxsoVY/BMziZ0DU5oM2Z01m0YPXS6W3dRNHNHoKSu47vvEpjLLl+wJYJ9CE1SWZlcevkBZWYY3XWSbnpdC2BSD2/wB205ZBkzI0dQR3TLvAb9AVi5joHdNSDNJxFlM4vKDCK9u3KzL2qdGuwJ3dTsoiD96FHhINPumIwJ/Ey+ajQf/Yea0KssLmBRMatPVp/iu5KZ6WO2JhLqfF/ghir/I8T7f2O8Ach4xqb9zwuotTt/gNGenSDSywgmCtGuFcyPvoM6UoO2YDy3tLd2wyX/ag6DgnRyGL2tNG+rFs+56iE5f4OjZ/TJ9QqWbnyClxx18IZuIJ3152JxVrLo2YqWYdBixvHCy3hFzSfS8vKknegc0Hwx26u1b8xhoMPELYz0vqjmdTmfew4NUh1aj57RzZxTuRYxOfL/IMvvoefgbjRQkrPnJC5swuywORyLSI68j1Z6U+zcAVdDNZyt7+BMNrleGwNqehFZ1DNFNkY64QlPWmsAXWvmMJiJCV2j7IaykpYaqXgm/ClzfdPnqEpwursRjNzJLmfrkVr1ntqhkghUqbLw/Kkk4gXDMgPL79Kmf+dHcKiKoOrQCObVwbcTkn5qWJsdI9v9GLmdzDBoyqL/E0KHQ7cLz0AcWMAxkkJNqy1hZh2Zlckb6Nl0qieMpOoRBcrle0tWThlRQ/DPI0pn9XSYzBAvffPKwhzuJm8hFtyrW4opJJeGkzDs2qCUxa21/GgUPdUEZE8Ik3SsMugPyBBgCdv9w7hN9a3+3cZ/Qq+rhFZNgJ4dxqFaCY72D/DP+P3ChIuBWYt4Vf8OIw9184im9cnDx2ZZjbbN6L28gzCDynvlBRSvHPtOuRPGvmIzD4xkOg4gfGdV2jpryrJXcxjoReYigr4WSNI2NNTTWdi8C74yicEDDZDagkio+UeF/Nky0bMNWYZBixmpcT9OfPYPRKJRRCNnEfDQDRI70TP6INun1W/MYaAXyjuIBN+ES9Jm9omUR1qoZAtIhLozOzLbXZnEaKkFXaGrupQFqxFk2jOHYxHJSBA+VzWk+gbU09l6A5HnjQG0feZT5Y15cxhMxIRBxYUwGQpZ9sEcBnP+pKQS+ObsSCYeLo/i3MC7mc0Ca95AbhwKxVAq2amkejxblEa8WEKnRJeh5jPJktXHMPpIAeiFg+aAbaeEZSozZay+1+5cGBHi7uKSUB+IZWbRDMSBLdHUwO3/CvHJ2xi7+H8zU+zdw5hRm2ZBabw4Z/Mi1ku8mJzZesyRVvdjjnjRweY0jrQ3QjJgZ/KubjfTI8uJYOUKBDCTlxEyg/5YToL+rkX//nntGAjdnai6K+rI2nc1axEvJkdWbZlEfFJUnzx8fN1sLeLFZujWuoDnZmjNH6PCFFzaK29QyG9JmTqPY83VcLQex7mxeSgLt3Fp4C246EyKupsurc24NqErfFUj9ezGIrNEMZ3KX67O76X0z9ZgUFbdrDCJMjP8uptC9oOFr2YwQLmLC8degOT4DfznfkFKeYzkpdPoclUbdwQa5FrBwtT3maW8MpNH2m1xHGlMXehFs+REq//vGEulsZC8hIGuFkiE7ZLVxoBVOWlsHMitqBigWvShOAageEzoZ+qoYLxxzSKBOc2YwVCaP9HO6ArU26jSr3pxZNjoVxRDJRGoUmXh2aJE4sV2Km6H76thBHdVZfIiVE2z2Yk29P9wHvJ2yXiMBCMILQFE7rCZF/Z6H3ML2q4bA3FgeQHVcDodmW25pAqN3j7d9DkLSkZQNLOz/rIX/ALl8r2E1WNHJWR/Z4mfjKwwUpPXb7Y8fbOC1OU/oFmqRvOhjzEcuYxo9BKGZLpUxuoVkosRL5aMWiCA8+U16I/JWIWWwL9wJzvjpendsGavID13AxfDf0QnHdCl3QjE5g1osh+0PrlLjYWIV1F98vDxdbOliNf8BfQYloyzWtS90ZYiVyUV64pY/JY3KBi74O1CoyUeIio/D0JoHNzTEqb1ZN74Xp/jaWx/45+swfAoeySOmuOlFysvlvQ/WfW+OAaAu5MObCem7qZ1lVBsVaK85JF2WxQHdycdzZn6HjLdeVlPz0BkSfRszGOAVo+97BcrX4tigJmYYDs2mWS8cY39Zv1rcQwb8SeWblRef6IYSiU7lVSPZ4sSiVfu3K7qF9vRJhl3d7AB4rn23Wgk+YmQ2s6hqrcxNKNbisr3PcNgp5GPml5cfPgAN+NXkbg1m7cUxr84F57xKnL8A5u5y9uNqc7o0V1puq3ZxWe8GHliy4UU7BImQ/s4xGs7OsM3c2vnS1fR31IFwmYU2Z1T1UGEb+d2BWVy2XRnpRn0l7NXVdeQNkOYr/DVn1fn5+WVWQ/xMq1P3gDFt+3WIV5sl2Id9oUnCiZqm1qKzDPBRj/yBgVjm1q8Zpe62a/sBoveOMxiOvY1wuGw7u8LBA/R4yS2wSN/ijOj42V7moM1GFLAys/qTaRxV+Pqow6YBqx8LY6B5bnqczAzEmTilF0EV7C48CTPx9K4P+iDo8wzFFSaojjYeY8sJYIpkaUiqDdsNN5pikrerl5lHKGXnGXfdVoUA8zEhH43JgXJG9cYeOtfi2Mw60882diMlxMvhcbzfI1XvrTvKIZKIlClysKzRenEi11I1WWzvO29i5fVmS7aIXG8lUewljE7+i4aSTVcvg/xdWwMyeQEEtF/IhQ4iTA7LNJAHJaQHHxTO2SyFq72vWr+gtf3DvoHr2oJ5vyL82riBWQOPHWgqedLfH/5O5y/MsVxHpawLqHWE8C56M9IxC/hXGAfauk5P/1XsheS4sQrl1juC/2EyeQE4sN98KiH6uXPeBEQqQW+j/6OSPSi1l81WgI/aLvgtAAmBJLrTXw0dDGXh6KfnTLoj+4zmMLo0Wat7a8RG7+N5GQC0eEQAu+eQWKZJnXL2N/7F4xeG0cyeQPfB19H3VrLE+shXnR6Wt0AUEyfvAGKb9stQ7wYea47gpGCNxtsKXIHukfuc/yxtMGrWC3eoGCsw0hjNZq7P9V8YxzXRj9Fd3O1YZOJsR7fZsYy1nyyDsMiJkKvwkFq0S4PIppI5HDWvonBZPly7opjABgxl5oP47PRqxhP3sb4tQv4rPt5SOR5yFF6juAkwt5d8LwbxODovxGNXkbkXCAz1ugPKLVG9ataKYqDXjfojav0PLo/u4BrdBwav4rRzw6jWbfbN7upqOENBEcuIZodC8u/6aQoBpiNCQXp6euI0lzB6FeQ6Tle1T4MXKKfr2KSbXJapcWNf1Ecg0l/WrmOT149gBMDX2H0MpX737jw5fFMjlfjuxgt81M1SiU7lVSPZ4vSiVf2hGSi5XPp17TZjj0C40GrmkMpDxH//HeZ04p1+U5S41v4G3sU0dQgOiR2F7eM2Ysn0CxtR/uh45mzu+T3cMSzA1J299cypgYPQsou3Wl9sSW47FIjnWzSjk1Q+15jip7KGXobLpr8yeSUdsAb+Nbw+I3ixIuej6UdocHacb6IYz1eVBO2ZMkuVPV4redQZsePWrYarq4Q4tkg1YhJtRc9x+juJk22/ORZg/4yulBSV/F5d1uujlq3Co2v/xUTKwqWxr7EAf1uLppA3TtswGoYErjE6w4GO+r459WY0ievPtMN01VGiq1BvNguRT15Nmgx80FbipQ2+XgM3qCwSrr0bVwIvIpGfRxwk7r1Nfk205ew6r2lGLK7vHIxL7neRiie9zgbq4TX2jGFAYtIXuiD1xCj+YnpKSTCRzhj6xsI0qNALJY7v7niOGhS+rcIeOnYndPxqs0a6vE3n6DTgHU79sjnC49H+cKU+Lk4BpqUbiYmWAzocbL3degYvFOihMWrmcJgxp/oY8/k9tXXDO8fMUTzPYuLUnIJiqGSCFSpsvBssQHiRZ0vhelkEnc559xkdu7dReGkWgXpVBKJGGXRPyJ+c2bV0mFq+l6mPssLyM8P0s7dySZsq/I8QCp7ZAO1eRqp6burZUzPYzL+I6LxXzHL8sq4LkLlvIW4etcSx81Zzpk+3H45jaVTSCauIBqNY5ImG9N62fwqFqSZGbD03E3EolHErk/l6UU/I7SEuXHa3hVcn86Xi+LW9GcQJY1U8rraNpUjH4+yMIObVC/RK0gkU0UGal4fVF8PkJwuVLeYPvn1VX/K6koDpOpdlxdowFn+D7yA4vWaiYV8v8wrqSxg7u5a8ZJX3qKPZjHQPMWFudtrxOtqgbg2W11sw99YjyGN1GQ8M1MRv5U3nmxYXG4D5jEAysIsbqnjSLTg+JWL4yhiieSmYKDATOOg/n4rUXAcYkpSFqZwXb1G8MY4VsraV9MYTMREJvZZDrP+tch4sEFI5jGY8af1x/4GxVerUwylkp1KqsezxcaIlxXaNdMGeyZg83sYGc8QNGXhPuLnjsMtVWNX/xVox7Waaa1CyxiJV2Eh9cSrcCnxS/k1wAuo8vdqbQ8Cg7X6LLU1O9iBYrcDDoGhVC+2th61QyURqFJl4fnT1iBedEqUHbhnmJ7OX4az1vCb25ogXpur7433xguojbe6uS0IDJur70K92cEOFJsdcAgMhbx0c7+ndiiV7FRSPZ4/bRHiRQ3OlqguYmTwfzE0GkV8kh7Rapd/NBEzjvMjlzGRzefiYVvEdPw7jFz6teyHIfJ6F9/lNMALqNyvW+OdwFAZdrKDHagm7YBDYKicmKgkAlWqLDx/2kLEqzKcQUghNMA0wAso9ttWeRUYKsNSdrAD1aQdcAgMlRMTpZKdSqrH8ydBvCrDx4QUW1ADvIDaajAEhsqwmB3sQDVpBxwCQ+XERCURqFJl4fmTIF6V4WNCii2oAV5AbTUYAkNlWMwOdqCatAMOgaFyYqJUslNJ9Xj+JIhXZfiYkGILaoAXUFsNhsBQGRazgx2oJu2AQ2ConJioJAJVqiw8fxLEqzJ8TEixBTXAC6itBkNgqAyL2cEOVJN2wCEwVE5MlEp2Kqkez58E8aoMHxNSbEEN8AJqq8EQGCrDYnawA9WkHXAIDJUTE5VEoEqVhedPzzjxmkcs+Ft4e0cwZerZBwtIhLrh/a8zGFsyVaEyPFhIURYN8AKqLB2VsVGBoYzKXUfTdrADhWsHHALDOhy3jEWpHUolO5VUj+dPW5x4LWM2ehrdHV7todk9OCH/Af2hC0jMFX+gbeahszXYPXAdK6YcSMHj6AdoIi74I3OmaohC9tUAL6C2GlqBoTIsZgc7UE3aAYfAUDkxUUkEqlRZeP5UAvFaQSr6ITo93QglFp6yhVKIyi4QUgtX+154PHvR7qpVg19qPoGLaz45fRFjA3shSfsRmljHA4ee/ITADgequoYwIya9nrL9n273vIB6uhKtv3eBYf06K0cNO9iB6sUOOASGcnj4+tukdiiV7FRSPZ4/lUC8zD7aZv2KXn8NRrw6EE5qZ9grKSSCHkikFt7wROGnp6/8jOCuKpD8B28XFWIeUbkFxPEWhmaWi5YWBeyrAV5AbTW0AkNlWMwOdqCatAMOgaFyYqKSCFSpsvD8aZ3Eaw6x0En0eJpAiBNunx+yLONPIxNYwQpSsS8gy18gdieOQfm38HoPIRjTluSUeYx/cxp+3354PPvh85/GN+PzecRoGanx8zjt74LX44HXdxynv7mxxqNxOMQLQDoqw0kk1AdiKESNlGQYXsmBnf1XjWXS9xE705dZvvT60HNCVjHK8meIqjNoK5gfOYwq0oBDI9OV4aFCiqeiAV5APRVBNtCpwLAB5VlY1Q52oOqwAw6BwULH3kBT1A6lkp1Kqsfzp3USrymMyh3acl4VGtwvw+Px4o1QAstgM2Hb4XLVgTifg9vVCE94ElAe4lrwNdSSOrh9v4cs/x4+dx1IbQcGEinNNMtIXfsY3loHnO6D8Msn4Pe1wknq4R2Ig7+oySNeCxgb8EIiO9Ez+qCA2RU8Gj2GarIdvqF7uTLKDC7LbZCkHfAceQ+y/yDcTglEaoDbcxxDyUzemDI+gDbCIW25lsS7Z0ADvIDaarAFhsqwmB3sQDVpBxwCQ+XERCURqFJl4fnTOokXNQgjWC7IUUaa9N8TSM3vYji5CChPsLC4gpWxAeyWqtAs/zs7e6XMX0RvkwOOzkHcp7lSK9cxsLsGpPkkouwh0coMIr27QBw+DN7nPQ6bEa8meHreh3yiB749LjhJNVrkS5gvmIO1hMnQPhCSh2FmCD6HhG3+i3is+t4S7oQPwEHa0B/PfKN+rZYjcPiGMKN+If57FjXAC6itpgeBoTIsZgc7UE3aAYfAUDkxUSrZqaR6PH8qA/FqRPfIlG4JcRHjA6+AkGb4R8aQTCa1v6sIdWwDccqIpoHMLJKE7f5h3M6WuY3/hF6HI58gZf2CES+WXO+BZ68bDRIBkV7A0eFb4NE1gNV7HoHYo2xrSIbhITXYE7qpyc9mxvIIWjoK2UlAPGEkc7XFu2dMA7yA2moqEBgqw2J2sAPVpB1wCAyVExOVRKBKlYXnT2UgXnkkJUtyiBqUVAjDX30AsWWWl5X3W7ZsHkHK+gUjULrkeihIz1yAv8lhYqasHUH9zsylOIJtNZDcx3EuPoHk2Hc45a0HqTuCEX0ivSBeWQs8y294AbXV9CEwVIbF7GAHqkk74BAYKicmSiU7lVSP50+bSLx2IxD5VTfjlZn5uju3oM4uZRLiq9AS+BfuZGe8tNmxu3NY4C4b8ogXdRr2fT4JZA61gESwffVS4+MfEGipQY2zBpJG+qTGVxG4cNs4c/ZoFD3VYsaLafNZDtsMfwAABFFJREFUfeUF1FbThcBQGRazgx2oJu2AQ2ConJioJAJVqiw8f9oA8doJf+ShzkKFcr+WMTP0FhykHl1Dd3VLkLqq9K2WN7W+87EYwdLPeAFQ7mKoqx6E5M1oZbtcxtTgQUh5OxMz5G8n/BfvYfZmHFcStzG3wDlaVV2SJHDKUSMhy7Yv3jwLGuAF1FbDLTBUhsXsYAeqSTvgEBgqJyZKJTuVVI/nTyUQL2A5FkA9caCp50t8f/k7nL9Cc7oKES9Amf0WRxsdkFxv4qOvf8J4MonJRBTDoT68G6Y7IilZmsLo0WYQqQW+j75GbPw2kpMJRIdDCLx7BgnuuRCMeO3CoeAXCIfDCIe/wGn/y6glEmoP/A1J7kwZsBzvx05ShV3Bn7On1ivJv+FArQRCJDhdL6qn4Xu8Phzt/wrXZtlJ+AoWI72oMeSCVYajCik2VwO8gNpcCTbem8CwcR1a0YId7ED1YAccAoMVHr3xNqgdKolAlSoLz59KIl5Yuo7QPjqjRHOy2HlZbBaJt7y3jFT8L+imR0hk87ZoAvxOvP63mznik7qKz7vb4NSXIVVofP2vmOBMPAF0yXBPdlkw27ZzFzrls0iw3ZE8H9CWC/U7E5XZ79DbXIPa9rdxQs6c33XiiAeNEoHUFkRCfT4jW6YsNJvG60x8Z0cN8AJqq+EUGCrDYnawA9WkHXAIDJUTE6WSnUqqx/On0ogXtUt6HpPxHxGN/4pZthyXTmE6+QCpdIFppnQKycQVRKNRYz2DndNIJa8jRstE47g5m8kBMxTRf1D7ZDsl6esa/evr4QFGe3aCVB3GyDxldY8R728DIa9gYHxRV/IhIv6dIERbzlTGEXrJCbKjD7EnBXDqaou39tUAL6C2GlqBoTIsZgc7UE3aAYfAUDkxUUkEqlRZeP5UOvGqDNtsQAr2wGuWe/YIscDzIMSN3pEbGTKpLGA6/hX87hpIu07h2hMFykQIL0nrebD2BkQUVStaA7yAqmiBOcIJDBylPIWv7GAHqjY74BAYnkIAcLqkdiiV7FRSPZ4/PcPEK3doq2NfGHcUBenkMHpb85ZDCYHkehuh+EMo6tJm++rjJThOI76yvwZ4AbXVUAsMlWExO9iBatIOOASGyomJSiJQpcrC86dnm3jRLQGpOxi/NZ/bnaguof6AyMhZnBkaRTR+S7d0qiA9dxs3p4ssf1aG3wopyqwBXkCVuUvLmxcYLFdpSQ3awQ4UuB1wCAwlubDllagdSiU7lVSP50+riBctJP6EDoQPCB8QPiB8QPiA8AHhAxv3gXxWuop45RcQn4UGhAb4GqAD0lb/JzBUhgXtYAeqSTvgEBhETFipAZ4/bf0rh5UaEm0JDQgNCA0IDQgNCA0IDZRRA4J4lVG5ommhAaEBoQGhAaEBoQGhAb0GBPHSa0O8FxoQGhAaEBoQGhAaEBooowYE8SqjckXTQgNCA0IDQgNCA0IDQgN6Dfx/sen0TJLq4dIAAAAASUVORK5CYII="></p>
<p>The owner of the orchard wants to know whether the mean weight of the apples from tree <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext><mo>(</mo><msub><mi>μ</mi><mi>A</mi></msub><mo>)</mo></math> is greater than the mean weight of the apples from tree <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext><mo>(</mo><msub><mi>μ</mi><mi>B</mi></msub><mo>)</mo></math> so sets up the following test:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>0</mn></msub><mo>:</mo><mo> </mo><msub><mi>μ</mi><mi>A</mi></msub><mo>=</mo><msub><mi>μ</mi><mi>B</mi></msub></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mtext>H</mtext><mn>1</mn></msub><mo>:</mo><mo> </mo><msub><mi>μ</mi><mi>A</mi></msub><mo>></mo><msub><mi>μ</mi><mi>B</mi></msub></math></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that an apple from the tree has a weight greater than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn></math> grams.</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 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for the owner’s test.</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>The test is performed at the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>%</mo></math> significance level.</p>
<p>State the conclusion of the test, giving a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A hospital collected data from 1000 patients in four hospital wards to review the quality of its healthcare. The data, showing the number of patients who became infected during their stay in hospital, was recorded in the following table.</p>
<p style="text-align: center;"><img 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nTLo/ndP+ITiE+yH8Jh0snyvk/GB7AhP0NxfpRNXTWsHcKWoWsFzW1o/0QMOExcx0SuvYGle9FrfwXrzO3QGBpwRL5mPeg70gCDph2WH+wauyFFSbclPSqtR3xtpMeKUjmG5gO82346AqsGukqr/xo5DmtpruIaAZB0uQ/A5PgUknQZnU/fiayI0sb6ru/LTMRA6liDYpPlG7yXfgqH6QHZVvbaZmDTYfQF780i+X188NFncXDHsb33GJpeEQN6NdBVN8PlkeT7yM/mnMKu0R3lG6deqXvY27kX68vM8nPYUC9s5mPquze/iYoNP4Wzf9Yg9+aJ/mdA6PkneQJtth3vHjsT+mKUugjiapZOT/O4laFAGhLQVaK+xYoXi+dAXIzq+aVoEs7mrr9FT/M+2MxP4zsldb6ZDj47i/OfeaGeOQ93i4esewuWLXwCNXv3ofnEAtTIjtoelM6fPCiIKx99AKu4obrNKLtlqs9pz8xDmUU4dk7sbPoDAh+bBs0k6oElWPXgVyFcOnVGBqZElUnhxKmLsaamAsJFdZvN+PnvEnhh8B7Hwd0HAWigX/UodJpJACZBs3Qtnq7MH6SyS7Cq7BuYn6EG1BoU3JN/jTHHomwDls8X7s8kzLpjqS+UJ1B6Ejomcu0Fsg39/QwfffC+fH26LY/jlswJUKkmIPOWx2GRr7NmNDkSYBnKMG22km5L+kdRtnyhr43M+ms8cK8cMRmlvsprZBbueOCuMJnkyy3Gg1+bBmAiMjIGvzeEFTKOd5Llq1n1bTy8ULS/abi1UOeLg9V8E8aHv4IMqJFx69/igcFMPYBzbNt7u36N3c2iYS3Bqsf/Bhr5oTELS/+5CpUcvDCAZvyEC+g6+DaahaD+e/j+47ly+4RawdT+SxzoGOwFZzLml+6BJB3HrsIzaLbthbn6H1EiOrsAfHb6PAY7M75uqSPBGO7UscU40EQM5ns59kCw/naY137L77hGIJkyHVOnqKHO+jtsesOCGzdUYZvdgooVFr+g6I14Ga88vdzniEWcLmKPT5/o8sUtDzjmS3CfOoc/D3IM+BQnDg8yJZgmB3NnCkcxXX9qZOQ/gRpTCwoqRC/CVBji3eK8f8bZbvHQysdtc2+UX3R8tZ+MqTMyBwExHdMyA7cdNaZMnX6NLxVTMHPaDaGyZ8xBnngoy8HpInwuCR0TuPYGVirGNSELn8Opc2Nx1pWraEszpyEz2DXzRczJE4PJorUn5TUyETPm5MjOl8+kyZeruW0uZgbLHWjBsZ4ivswcTXjAVvJ8p8yYOrAN++/VybONZXvA23fW17Qj77dTpmJG2vVOJE9n6M+4gr6zvi862ffeinnKdhJk+jEOn/gUyP9ilOK96D+6E2uX+jsGIiSiXhsRMumwq8SSDvpSxzFN4AI69zznc5JFT7P1TThcF0OjdYN1nwRN/ipsPeCC1NeBFqsV1tdMMGjcsG9bhyf3dA7yuUeNG6ZN9/VgRoz8Dc7EcbWzKlz1gyFYqRTYmIb8fyz39czYd8Eiwlti/dQ3YHq26MZx4cPjyk9sF3D+dF+sM0fuWMI6JnrtRar+BUybKXorxWDyVJtdIFLXBPeD86/GGhg1jG0ppprJlztWHtYxsQzZweT5DlnRCWSkzpzu67F2d+H4qcDgbtF1eR6nx0LXZQIMhlZkIjKnz5Cz7N7/exxThtwFmd6MvDnRnGTREdGJPeurYXGLTqqfwLrPAZenLxg+N7S6jl5udJRHjz1LHkCgHz0dx+RUzbzFKFr+DeTfdBq/su4PdhACl3DSts43I0bhs2jtm4ulxcUoLl6Bh+4XsYyxfmpkFdyDVcK3627ES5Z2eVYCr3s/NsozYBSgqvWMCJ4IOdT7W/H+SXFDvgR3qxk/tgS6KmOVk8bHspbgqZd9MeFxa6GeiyWPLhHBGmjeuRt2eaYJwakOz29zxj19RAQS1jGRay+axtNRUKSXX766a/8VlqMicEcw8M+Aot2I1nSb9jD4ctGBN63v+2ab6P8jDrzZIV4HcNe8v8BEJNqWojG7lrTRKvdadE6nc1ObrzrnTjyqFzfwg9jZ8F++a9N7Eq0vbMW2OO/16WSFkdN1MnKW3AcxUgTN2/GjBt8zEUqmugdRuGCQ7vp+FzoOC/BfwrzFeix/KB83ffI+rPK9YuRqMdwl0VEebsLMPwkCWViw+Ou+gXvmEsyeoIJqwmwse/cSxDgzyDHKEzFLb/ANPLM/g2Xa631xxhPm+uKiNMVYXTTPF+8c6H1QTg+XVYAnNpVCg3ZYyvKQqVJhglaPLXY3NIYn8cSi6bKjnLGgAPeLMt11KJktyrge2mVvALqEg+2SqHcqiU7CrOUVeFkeQBVPr8nIKXrMNygraIvrof3Oh/j/VsZ7aRksb0UPR3B6uGuZ7ilRHRO59pTdLQH91chatBKbDLmKuHdxrTwDO3Jh2LQSi9JqYKe4/OehaLWYr9oN+xY9tKIdZi5GhfjCoFuLp/SzfJVPqC0FOA3h39EqdwirkNJZpTLfaNfmhNn4zomZWCnu1/wlTUA9vxib5UGYoWei/NzdIiKXH4Cp5gnkizEliHJvPvoXWCx3ULXDXDIXE+TnqRHv4i/l5/hYiVGmo5z0ZcUTho+AcNK+jzcaKuVBZWKQmK7SAsfef8OTYuCP2z8wKmMRNrxhR0t9QE5oJGTr0WLfjOJZvlhhdc79eF5e0MR3/GZ4cAFZWFi6HfaWelTK3rc4lguD6W3Y61ZhoXxDANSzfHHQQRl50OErePqB0Zqkf/ioD8hZPQfLn3vWPyvBgKNhCepZy/Gi/W2YhKMorGCoRbP9ZTz1tRvD5BLfmYyc+9ej1p8fcIM8r3Xi5w+UTEzHBK+9gdkDGbkorbOGX48aA0zNVtSV+gfHRDsvZdMmYVbxZtiba2EIOh+ijVjh2LXW/9AUyifWloa+mqNV7tDXJDVzTGW+kddm4N69Fl8bpNMzNRmnklbTkL9hFzpafhG8jwefpx27sCHfF1oGRLk3T5iN5Zvq0VAp90mLEYGobNiHvT/7X/KgavfOd+BIty9q0UyTYlPYUZ1hJhBtjsBhLpLZDzOB0bOpYi7V4PzLynmuFfOkDjODwbNPBx0Haj96Nh2oC1OGhgBtOgQcg3PyQwrOqy95pD5HraST5+4d2Xl6hU1p1yGwawplEc2eKqFfNAeaaWOTgEqlkucOHpu1G5+1Gj2betHvfBHfLCiHby29CP6atbD+tjbYwx9xdIR200HHgShGz6YDdWHK0BCgTYeC4zk4a74jz8wTLTdNqRW/fbUYs0boW7mwqfjRjYpmjfRMi9ZOR+hySk9g1JoESCAWATGl3FrsclgVn+yE/MAwmFi5DO+xdNBxeAkwdxIYOwSmIb/8VTisYpYjZa30qKxvgf3F5SPmJCtL5/bYJsAe5bFt3wG1i/a2NECICWlFgDZNK3MlpCxtmhCmtBKiTdPKXAkpK2wqfuxRTghXWghFa6fsUU4L01FJEiABEiABEiABEiCBkSZAR3mkibM8EiABEiABEiABEiCBtCBARzktzEQlSYAESIAESIAESIAERpoAHeWRJs7ySIAESIAESIAESIAE0oIAHeW0MBOVJAESIAESIAESIAESGGkCdJRHmjjLIwESIAESIAESIAESSAsCdJTTwkxUkgRIgARIgARIgARIYKQJxJxHOTBH4EgrxfJIgARIgARIgARIgARIYKQJRM6LPTGeApEnxJPn8dQmEG0y7dTWmNrFI0CbxiOUfsdp0/SzWTyNadN4hNLvuLCp+NFPSj/bDaZxwKbK4wy9UNLgNgmQAAmQAAmQAAmQAAn4CdBR5qVAAiRAAiRAAiRAAiRAAlEI0FGOAoVJJEACJEACJEACJEACJEBHmdcACZAACZAACZAACZAACUQhQEc5ChQmkQAJkAAJkAAJkAAJkEDqOMpXnKjJUUGMOBzwT2tEjc0JtzdZg/Wis3U3atbUwXklcO7HsBlzoFLlwGj7OJA4tH/7O9G6twZrtjsRLHZoS2BuJEACJEACJEACJEACw0wgdRzlWBV1W1BR8k2srG1Dfyy5iGNXnD/BN5Y9hop3Po84Mpy7/XDuWI1lKyrwjmc4y2HeJEACJEACJEACJEACw0kgBR3l1bC6LsvzEoq5CSWPC4dqDdDADXvtPrT1Jt2tHMHvZhQ3dkGSutBYfHPEMe6SAAmQAAmQAAmQAAmQgI9ACjrKEaZRa7DosYdwr0h2n8W5Pwcc5V507t8OozYUqqE11sDmdMOLK3Db1uC6ggp0i/O6K1BwnQo5NSIUYpDQCxEuYa5CYSD0o7AK5tZORQ+24ry9v4HTVhMsW2usQ5v7EiDnfRsKKuxyJborCnCdqhA1TtEPLsJAzKgq1IZCSwaUEVF37pIACZAACZAACZAACYwagbgr842aZoGCvW60/eJ17Bf72TmYM0OofAknbRuhK6mDOyAn/GhLBUr2H4f1t9twhyI97qb3BGzrS1Bibg+J2rehzP6feLf+56grzUVG8Eg3LCvugCW4L8pdh8WnvoCOt2R3XnEksOlFv7Meq5eVw+dC+9PlMv4bZx0/w4b8aQFh/iUBEiABEiABEiABEkgBAinYo/wKSrTXhXpdJ2ixuNwCN3JRum0Fvib8ZO8xNL1igxsPwOT4VA7T8PRYUaoR3vJ/49gpLzTFO3DZYUK2gJxtguOyhK4N+Rj4ZuBFr/0VrDO3Q2NowJE+DyTJg74jDTBo2mH5wa6B4R66alg7zkOSLqLHuhaiWDS3of0TDYobP4TDpJNNm21y4LJ0ABvy1eg48EvZSdZUtuC8CCmRPoXD9ACAN1Gx0YbOQEd5ClwUVIEESIAESIAESIAESABIQUc5ill0lahvseLF4jk+hdULUdrkguR5FYU9rbDZXkX1d9bBLHcv9+H0+QtRMhks6TN89MH7cs+02/I4bsmcAJVqAjJveRwWkZ+7GU2Os4qTNdCvMmD5/CwAkzDrjqW+sBCFxMDNSZg5769kh9q9bRkWGmuw19aKE19+Fi6PBKmpFPPTwxIDq8YUEiABEiABEiABEhijBAZ2sI56RcVgvpdRrImlWi+Omr+HpWXmsNALn+qZmDF1chK1+BQnDseaJu4cTp1TzpoxBTOn3RB6w5gxB3mi21oOhh6s2EmYtfz7eKPhBmx4fBvslgqsCMZu6FFpfRFPFy9UhHcMlg/TSYAESIAESIAESIAERopAWvZjejv3Yr3sJOtRWf8a9jlc8Fx2wCTHWSSL7guYNtMXH+wLlRBhEcp/QzQ7hlqDfONWHBBhHR0HYLVa8ZpJzObRjG0lP8SezmR6wZOtI+VJgARIgARIgARIgASSJZCGjrIX/T1dOCxqqvkyFhc9iIfyv4RPfvUfeDNmr+5gaKajoEgvh0V01/4rLEd75cGC7tZnfTNgaDei9VqnpBODBcvyoFJpUbixBX05OhQXF6P4Ww/hfjnAeTDdmE4CJEACJEACJEACJDBaBNLQUVYjY0GBz8F016Fk9vVQqa6HdtkbgE50KYdilNWZ032D+cKmh4tErUbWopXYZMgF3GaU3TLVn98zsCMXhk0rsSgrGUwTkTl9hlxIcHq4330R+u+WQifmgt6ih3aCb0q7CbNL5LhqTeljKMpJJlwksg7cH0hAzIyyDtoic4yBkonIDMyZKSNIoL8T+2uM0MrTNmpRWLUTTnkqxoAOXvS2bvQfD00V6Vvd8xGY+aUmACq1/orpOG27UGMsQlXrmSi6XYK7rc4/Baewuw2d/RzxHAVUiiR50d9ph21vDYw58TuXvG4nXheyYnrXoeiMShEK6a1GYjb0utvQWFUkT7gQmho3vOaJyISfkdp7yXiAKVMT9ay/w6Y3LKjU+btjdZVocPxf/OzJewA4sbPpDxD9wuqc+/G8vFiJUF2Dm+FB1ACHjFyU1lnRUl8J33wVQtwAU7M1Ymq4RBBMRs7961ErHG/5d4OYpgMZ+evxRkcL6iv1ikxE6EgL7C8ux6y0tISiKim26S1PHpwAACAASURBVD35H/jhuvDpAyNVTEQm8hzujyAB7wm8/mor8OCP4ZIkeFyv4cFT21Cwsg7OoNN0Fo6m5ihjFQDo78MSvoCOoMESLMp7FObHfoBG6xZUWP5flJO86P/dW2hGMX7qCtj9X6B73i7f16OcwKRRJuDtbMBjz/4U1qcqYPksljK+F6An8h+H7fjNMNrPQ3JtxtKkOqNi5c9jV0sgIRv2t6F25XPoKDLDI12E03gGVWH3YwCJyFytkqN1nhTjB4hwXf7GEoFxYdO+Q5LJsF6qNORK0NdLHZ4oFkxEJsppqZg0Vm3q6TooHei5GIbc01Ev6ZEvVbac9qWfPyCZnm6WXGE29kjnW56WHqg/IoUlh+WU2jtj1aZK6gNsGTjoOSYdOPAnhe2EPasljaZaajmfrhaVpLFv08+ljvoVEga1k0fqc9RKOo1Bqj3kUtg3YPj0+ytsOrbsGsuGvmOayhbpfNBUp6WWyjslffBem4hM8OSU3IhmT/ZjjtYbCssdJgLn4NyxC3jquyiaef0gZSQiM8ipTB4xAursu6CbNSmsPPXMubhNEdfv/fPN+PvKZdAo72TeTuzd2o3iJXNDs9OE5cKdlCag/kvodDcrbHcJp46fwILy5UmGwaV0Lcefcv0O7Njw75j38nNYv0ijsO/4Q5GWNfYex8HdHyBvgVYxQ5cY43U3Du/+NbpEZFQiMmlYeeXjJQ3Vp8okoCQgVkC04CWsxJr86coDiu1EZBTi3Ew9AlO+jsULxDzmgFqTjeyM8NuYt+vXsM0uYdx/6lkueY1ELLP5Ofyo63HsKl+keEAnnxXPGE0CF9C5pwYVWIa7vK/hCRGbrMqDsaaJseejaZYkyhb31d3N03Db3BsHvuQ0v42DXReQiEwSRaaMaPgTJmXUoiIkcBUERI/FS8BTawoGf6AmInMVRfOUkSDgRa/Djg/XGKCP6GkOlX4BXQfb8Fff/lvG/YegpOGWf5Bm5gIsK9sCy/sH8H6XGHnCX1oS8Pc06hbl4ta7nkKjS6x+uwGofQKrdzjQn5aVGk9KB2Ybm4cFszMGqXgiMoOcmuLJdJRT3EBUL1EC5+B8tRXzNq9BfkQPYyiHRGRC0txKMQL9Dvyk8UZsjvUiJB7Itr9AUcFgXxRSrE5UZxACamQt3QyXdBEuhwWVaECJbiNsJy8NIs/klCbQ70LH4WlYVHQ/8jUinEqNjIWP4vublsBeUcN1BFLaeFSOjjKvgTFAQIRT/ALWOd/C8kF7GhORGQMoxmwVxEvOW5he/XiMFyHIn/5sf6VDAUfRj5ErYRI0+auw5ZVN0Lt/g0Md7FVOR8N6Tx3Hh+5IzScjZ8l90OMYOnrYpxxJJ7X21ciYnYO8mLZKRCa1apWoNnSUEyVFuRQmcBZte/4NW0rmYoI8366If5uBZducQHMZFkzQosj8X3g/rsxRcKbWVDTzJZx8/Rdov/97KF3oi02OrqU/7KLoq4glFf1cpqYyAXXOnXhUP9jg3FTWnLoJAr5BuC58ePxMlHtsrM/55JcqBKK3QTHQtgtu/1ScicikSn2S0YOOcjK0KJuiBG7E0q2OiKXHT6OlMh/Q16PD40JT6d24N67MwoGDFFK0xuNHrUtwt5qxJ/ObWBV0kntxtHEn7JErZjLsYuxeFuLTfffXgoM4x25Fx2jNsr6KolVaHH7vj3AHeyP8Ma2c7zw9jK6eiyWPzgquU+FTuh89HSehf/RO5AhvMhGZ9KhtmJYp5Chfgdu2Rl7tRWW0RV9AIEz1iJ2wFbxUUMVckS3i3IR2e9HZuhs1a+rgvJLQCXGE+uGsKZTrm1PjxJBkGadEHiaB9CLQi07bM1i57J9Qvmy24mvBVNyy6zK0EbHo8mwXDLtILxNH0dZ70oYybRGqGtt8TpX3JFpf2IFTG9fEGMQZJSMmpRCBG6F7aiPuf+tfsLGhXR6853W/j/rGEyjfXIz5KeSJpBC0FFNlMuY/sgHlbbV4ofUkvBCdGHV4vu1hbH5kvr+TKRGZFKtWAuqMkcvTi962BhgrLCEHu/ss+oJvrgmQiCNyxfkTfGPZY6h45/M4kjxMAiRw7QTE8uIboSvZAvuAzDShHozgMRF20QHdI7cz7CLIJFU3zqC1qgATFpShGU5sWzYjrGNDPXU+7rrXhW2PL4Z2ggraJ36OcyUv4qeluYPPZpOqVR0vevW2okr7BSwoew1wb8GyqbNRZA4PZVPPWo4X7TXIe/dbyFSpMGHlLzH9qRqU508bL5RSu54J2BAZi1C+qxozGu/DBNVcrGyah5pda8PHjSQik9okBminEkujDEj1J6hUKvlz9mDHUydd9Eavg7bkFd+n9rdKh/wN9YqzBgsLKtCdbYLj6AbkT7zW2ose5W+ioMKObJMDRzfk45qzTECl9LFpApWhiEyANh17FwJtSpuOPQJjr0ainYpfDDdq7FV6jNco2r03hXqUo4VefAybMQcqVQ6Me38Dp60GRnmichW0xjq0ucVUQUJmoc9JFgaUB2/lwGj72GdOecL6KhQGBnkVVsHc2hkxb+MluJ021BjzfKEfKpH/duzvFCOsfXpdJ5xkkWN3BQquUyEULiFCMsyoKtT6zy1Clbk1YhJ1L/o7m0L5a42o2d+B82P8gmP1SIAESIAESIAESCCdCYxEJ+YQ8OmGZcUdsChyclvWYfGpL6DjrXsVqRGb3hOwrS9Bibk9dMC+DWX2/8S79T9HnfwpT0wbVoeVBeVhn3jdlnLo93fD+tttuCN0dsRW4PNwXSjkA83YVtaMne82oLVuFRZmqOE9uQ/rdSUwB6bHcVtQoVfWJiJb7pIACZAACZAACZAACYw6gRTqUY7DQlcNa8d5SNJF9FjXQiPEm9vQ/okGxY1H4bKu9mVgsMIldaGxeBZ67a9gnbkdGkMDjvR5IEliNaAGGDTtsPxgF9rEqHlvJ/ZsNMEODXTVzXB5JEieHrRU6wF3Hda99BvcULwDlx0mZIsSROjFZQldIlSi9yBeWlcHt6YU9UeEbhKkvsOoN+TCbfkxftp2FsAZ2F/a7HOSdc+gxXVRroPr0MswyJWIU28eJgESIAESIAESIAESGBUCaeIoa6BfZcDy+WJ21EmYdcdSxOhH9oP8DB998L7c0+u2PI5bMidApZqAzFseh0X07Lqb0eQ4C3zyR7zbLBIexJNPFkIjiKhnYenmJtnxdW1dOujgoCsffQCrnJcZZbdM9YVeZOahzCJ6sJ2+aVS8Z3D8Q5fwsGF4shRL5VWJJkGz6FEYV+WPitFZKAmQAAmQAAmQAAmQQHwCaeIoT8HMaTeE5ridMQd5cvdurAp+ihOH/XHKUcXO4dS5z3HFdQzvRT0eL/EKTp/o8sUtDyLqPnUOf/b+GWe7hTc9DTOnfUEhORlTZ2Qq9rlJAiRAAiRAAiRAAiSQSgTSxFG+GmRfwLSZvmlnxKwSl0VYRNg/EZ5xMyZq5+EuOfuzONeXzGzGatwwbbovBMQfjhGevwSpsRga9Q2Yni1iLCJXJbqA86f7rqZiPIcESIAESIAESIAESGAECIxhR3k6Cor0siPbXfuvsBwVM1iICbKf9c2Aod2IVhGjfNNXcLdeOLIHsbPhv/yrBvXiqLkMWjFTxqALl6iRVXAPVolTuxvxkiUwifp+bJRnwChAVesZ/0o1S0SsB5p37oZdnqnjEtxtu9G40zkCJmYRJEACJEACJEACJEACV0NgDDvKamQtWolNhlzAHYghvh7aZc/AjlwYNq3Eoiw1oJ6PRzZXQAc37Fv08gT3KtVU3FJmhht6VFcVyUszqjOn+wbzKaeHyyrAE5tKoUE7LGV5vknUtXpssbuhMTyJJxZNBzAZOUWPoVQ41PZnsEx7PVSq66FdvM4XK301VuM5JEACJEACJEACJEACw05gDDvKADJyUVpnRUt9JXQBlBoDTM1W/9RwIlGNjPy12OWwwiScav9PYzDB6mjApqWz5Nhodc79eL7W4Au1gAY3w4MLyMLC0u2wt9SjUic8YfHLhcH0Nuz+qeFEim9FordD+cs6ONBiCmrlO5X/kwAJkAAJkAAJkAAJpAyBMbIyX8rwTHlFoq06k/JKU8GYBGjTmHjS8iBtmpZmi6k0bRoTT1oeFDYVP67Ml5bmi6p0tHY6tnuUo2JgIgmQAAmQAAmQAAmQAAnEJ0BHOT4jSpAACZAACZAACZAACYxDAnSUx6HRWWUSIAESIAESIAESIIH4BOgox2dECRIgARIgARIgARIggXFIgI7yODQ6q0wCJEACJEACJEACJBCfQNxZL+JnQQkSIAESIAESIAESIAESSH8CkbOYTIxXpcgT4snzeGoTiDb1SWprTO3iEaBN4xFKv+O0afrZLJ7GtGk8Qul3XNhU/OgnpZ/tBtM4YFPlcYZeKGlwmwRIgARIgARIgARIgAT8BOgo81IgARIgARIgARIgARIggSgE6ChHgcIkEiABEiABEiABEiABEqCjzGuABEiABEiABEiABEiABKIQoKMcBQqTSIAESIAESIAESIAESGBIHeUrzhrkqFQQowYj/2mNNbA53fAmy7y/E617a7BmuxNX5HOvwG1b48vfaIM72fwSkveiv9OOvTVV2O7sT+iMERcawGXENWCBJEACJEACJEACJDCmCQypoxyLlNtSgZKCf0Ct81wssYhj/XDuWI1lKyrwjifi0HDuXvkddnyjECsq2jCSxSZepVHikriClCQBEiABEiABEiCBtCcwPI6ywQqXJMlzC4r5BT2ug6g15AJ4E7V7PkDvNWGbCE3xDl/ejcXQXFNePJkESIAESIAESIAESIAEohMYHkc5oiy1ZjEee+guOdV96hz+HDje34n9NUZog6EaeTDW2OB0XwLwMWzG21BQYZeluysKcJ2qEDXOc4OEXvSis9WMqkKtP+yjCFXmVnT2B4I9lCEbu+B02lBjzPPJao3Y3uYPC3HbYLyuABXdolg7KgoyocqpgVPEfYhwB3MVCoP6alFYZUZrZyzXP8FyA0wg6rE7pJsqsozBuKRoiEiwXtwgARIgARIgARIggfQiEHdlvqGojtd9CL94/T05q+y8OZghtrwnYFtfghJzu6KIdlgqSrD/iBW/ffWvFenxNi/hpG0jdCV1ipjlZmwra8bOdxvQWrcKCzMUeVi+jQKLYt9tQfnizzG1w4LSTEV62OY5OHeUY1nFm4pUN+zbymBvOw/HG+uRnxHnvSNWufMnA+jFUfP3sLTMrKiHv4xtNpgcP8OGfEXx3CQBEiABEiABEiABEhg2AnE8u6ss11Ki6CVWYYJ2Ccot7YBmLbZ9Kw/CO/d2teAV4STrauHo80CSLqLHulYOpXC/ewynvDejuPFDOEw6WYlskwOXpQPYkK/0eP369R7ES+vq4NaUov7IeV9YRt9h1Bty4bb8GD9tOxtRET0qrUfQJ8JCeqwoleM3PsC77acBTTEaLztgyhan6GBy9EHq2oB8dOPADuEk56Oy5bS/jEMw6TSA3YSNezoTGKgYo1zBpHMv1stOci4M9Ydl/SRPD1qq9XLYSsWGn8LZPytxLhG15i4JkAAJkAAJkAAJkEDiBIbHUR5Qvga6ynq02DejeNYk+ah6fimahKO662/R07wPNvPT+E6gR/izszj/WSBkYkBmAxKufPQBrGL6C7cZZbdM9YVTZOahTDjncGJn0x/C46L1j6Js+UIIl1s966/xwL2yVzwg37AE9Y2Yd7eIs3Zi27JCGGt2wdbcgy/XOOGRXGgqXYi4MGOWewFdB99GsyhU/z18//FcWT+oZ2HpP1ehUjjz9l/iQMdnYWpxhwRIgARIgARIgARIYHgIDE/ohRjMF2+gXX87zGu/5XdmIyo3ZTqmTonrdvpPuoLTJ7oghxRHZBPYDYuLFokzpyEzmP0XMSfvZjkmOiAf9a96DpZvqkfDjU/j8W3NsFR8G8HoDV01rK/8M4rnZ0U9NZgYs9wr6Dt7WhbNvvdWzAvqB2DKVMyYIg59jMMnPgXyvxjMkhskQAIkQAIkQAIkQALDQ0Dpjg1PCVFzvYDOPc/5nGRdJeqtb8LhuojLDhMS6NuNyFGNG6ZN981+kW2C43Jotg0x44b8L57THpHjYLtqzSIYtzZBks6jo2UfrNZ/h0nM5mHfgpIn96Iz8U7wKEVMROZ0OXob3ft/j2PKvD47j9NyR/LNyJtDJzkKPCaRAAmQAAmQAAmQwJATGCVHuR89HcfkymjmLUbR8m8g/6bT+JV1f8ye4ei1VyOr4B6sEqEJ3Y14ydIOMf+D170fG+UZMApQ1Xom+qlJpHpP2lCmFQupFGFjax9ylj6E4uKH8a2H7h6iKeomI2fJfRDRyGjejh81+OoB70m0vrAV20Roie5BFC6Qu5aT0JyiJEACJEACJEACJEACV0NglBzlLCxY/HXfwD1zCWZPUEE1YTaWvXsJYmwcgjHKil7W4PRwUaZByyrAE5tKoUE7LGV5yFSJAYR6bLG7oTE8iScWTU+OjfoGTM+Wg4KD08P97qal+G75A8KLxZZlszFBniLuesyW46pzUbp6GXKukaZ6fjE2m0QZoXrIXLaIyOUHYKp5wj+zRoJckqt1ikuL1RKbFNPmFaGqsQ1uZc+7qEHElINa43bsjzZ9n5jqz7YLNcaiIXmRSnF4qaue14227YEpIotQZTsqv+iGK3wJbudO/9SPeTBuf2+g3XEJ7rY6GOWXWTGlok0xNWR4btwbbgJiisvXsbfGiJyq1vDxIYGi47bTBNt7ID/+HWYCCdg0obasUFPMfFVWgCLz0QQGwivO4+bwEPC64WwMTH8rpuptinoP9brb0FhVJI8F0xrr0CZP5xuuUiIy4Wek9t41unZXW7lJmLX8+3ijoRK+OS3EYD8LHHv/DU+KgXXuZjQ5xEwVk5Fz/3r/YiWirBsA/0LW4SVnYWHpdthb6lEpe9riaC4Mprdhl6eGS7Ka6nm4//nvwyB8ZfG7eQJwIQv5G3ahI6wM0ctbifoWK14snhN/MJ8/u8H/TPOX8QtfSIcs6B8I2bELG/Kn+U9NlMvgJaXbEe/Jt/Hqm8CDdb+XZ0hxHXoQp6qXY2VtW8ix8k85aDy8FK3+mVScxl5s1r2A1l6FR+09CvNjP0CjdQsqLP8v3VCMIX3P4Xf73gMeexUu6SJkm677Dp4P+wLkRb+zDis3HEPRruOQPG/DeHpLuN3hRf/v3kIzivFTl1jg6DU8eOpfoHveHt1JG0MEU68qF9Bp/h6ebWzAUxUWRB16nEA7Tai9p17lx6hGCdgUibRlJZ5LOLnPhHVmlzKR26NG4ByctRvw0tkHscsjQer7Oe4+vAG69ftwUvHoRH8balc+h44iMzzSRTiNZ1C1sg7O4HoVorMqAZlRq+dVFizF+AEixJe/sUQgPW36udR14H2px6O0xOdSR/0KCZpqqeW874Cno17SI1+qbDkdEvQcker1d4an+Y9GlQ+dmTZb6WlTSfJ0HZQO9FxUcD4ttVTmS5rKFul8IDWa/c63SJWaFVJ9x+c+Kc8x6cCBP0mhy8MjnW+pljSKayOQXbr8TVebBvnKdtOE29J/MGq7C7NzYu09WFaabIxpmybSloN28kh9jhclQ3m5ZNBoJH39EUXbDQqlxYawadrbVZIkuU1G3C89PVapVKN8nvqeuWH3Z0ncs+9U2DARmdQ2bTR7JtnVepXeOE8jgWsiMBnZuq9jVtjVOgkz5+aExYerZ87FbRoX2j44Fupl7neho/tuFBUkGX5zTfry5EQIqLPvgs4/XaQs7z2D4x/ejPJHbkdg/hhv16+xu3kWFsxWzJ+e9VUUrTqJ3QeP+z7Zqv8SOt3Nii86l3Dq+AksKF+ORVlhF00ialFmmAnEb6eJtfdhVpPZJ0EgkbYczK7fgR0vAU+V34eZwURujB4B/9S0eTmYrVg0Ta35Cu7Kc4Wm1/Uex8HdHyBvgdY3da2s8HQUFN2Nw7t/jS7R85yIzOhV9KpL5lPkqtHxxFQgMOX+AiwINO6s2/FI+e2wV5Rhrbkd/WIgZM07mLnrSejoMKWCuQbRQcSjtsJc/X/QVfUyyoMhRv4buCYHc2f65l8PZXARzYGbcyjRv8z8c/hR1+PYVb5IcUNXCnF7VAlcQzsNa++jWgkWHp3AYG05IC1WuN0FPGVAfuaEQCL/jiqB0OQKYWqob8Tc27Rwf3gcp7xikTjRaTENt829UdEp4T+j+W0c7LqQkExYGWmyQ0c5TQxFNSMJnIWj6STWfHepoqd5GvLLX8Wh2tuxXwzqnPA9HP/OD/G9RZqBDTsyO+6PEoEzaK1ahMwFy1C27Zd4v+kQuoLxbv4beERPR3RFveht3Qht5gIsK9sCy/sH8H5Xb3RRpo4ygatpp9Ha+yhXg8VHEIjVloWoGG9gwUtYiTXBl+GILLg7CgQyMHvBPMDv7EYqoLltLmaqvejv6cJhzAv/uhcmnIhM2Alps0NHOW1MRUVDBMQNdxcaZ6wdeMNV34Bpc/JRbiqHDq+hbPVWtEYZlRvKi1ujS+BGLN3qgORxwdGwCthWMnAASUIKqpG1dLNvUKDDgko0oES3EbaTlxI6m0IjTCCpdhqjvY+w2iwuFoE4bbnfgVetc7CZX3piQRyFY5Mx/+E1qNS8hh/8aDeOyh0VYqaht9DUdi4i1GIU1EuBIukop4ARqEKSBMQNd88XUb2mIOLTei+Omn+IWjyE8g3/Gy2uZlTjFSyLHJWbZHEUHwECag3yjc/ilfoVcL/lQId8s/b3dBzuQk+wlzmeLpOgyV+FLa9sgt79GxzqYK9yPGIjfzzJdjpoex95zVliAgSituVzcL7aijlr71d8AUwgL4qMDIEsHZ62v41y1OCWzAnQGl/Ce79vR5v9djy6ZC7UUCNjdg7ycAwdPVGm6JW1TERmZKoz1KXQUR5qosxveAl4T+D1V/8H9z/9bSwMxCb7S/R27sX6MhcW5d4kh1qoNfdi8xv7YEIdNu7p5Fydw2uZIchdseiOnFvkfsDQYtDfOegfvXPQucvVOXfiUf31Q6ATsxhqAkm10xjtfaj1Yn5DSSCi7fZ+gD2mapTMvl6ef1cl1iGYugzb3G40l92CCapHYO68MJQKMK+kCKiRMb8IGxoPy6sZuxrX4av4H3RUrsHD8yfLOUW/p4qB011w6+/DkpzJSEQmKbVSRJiOcooYgmokQEAMznvxLWQ+9vchJ7m/HY3m99Ar4t/kGKqIfDLm4fZFN0Ukcjc1Cfhs2K0YoCnfePPe9c+r7tdazGRyONDTMUhN5NlOvobFCwLzZwwix+QRJpBEO43Z3kdYbRaXJIGItpy1FFtdkuyESZL/7/kWVGo00NcfgUfag1K/Q5ZkQRQfcgKX4G7ditU778AbT+uCMxBBPRdLHp0VmgVDLleMIzkZ6rRIRGbI9R3+DFPIUb4Ct22N723TaINYsTmpX8RKT6oiMzqVE2UnlVk0YbEy0W7UrKmD80q048mm9cNZUyjXN6fGGXUZlWRzHNPy/Udhqy7FsvJ/wjKtolciU49d+BIyoEbWouUo1x1UxFl50X/0TTRav4bVRfM4oC+lLpBLOGlbB21hFRqdbrm33+tuwQtbz2JjxT2hz7Pq+Xhk88Noe77OF2suL+lei7byDXjE/2D1LS+vWKlRltmBUxvXQK+cfi6l6j9elUmwncZt7+OVXyrWO8G2nIqqUycFATFjiR17a/4Bf9N4I7buWutfCTggMhnzH9mA8rZavNB6El6xGmprHZ5vexibH5nvf74mIhPIL43+xpr6OdrEy7Hkr+3YZcllXS1P3g2DVXIllZl/gQH/5N/yJODZJslxOalMYgpfdpikbJH/kOXbJzlMOrm+2SaHNISqxqzHyNo0piqJH/Qcl6ylub5rQ2ljeVux8ISYON11SGqo1AdlNYZaqbkjuHyFv0zfwhbydRLIT18vdYRWrEhctxSQTEubSh6p70iDZND4JuwHciWDySo5XMoFSAJwL0quQy/7ZfVSZcMhyaW0Vd9hqd4Quj40BpNkdbjSdhEDUev0tKnQPMq9GOFtVJaK1U6TaO+BKyQd/o5dmybTlhWWkhcO4oIjCiKjtKlos7pKqb6lQ+qLoYnHdVCqle+3GklXaYl6z05EJkYRo3ooWjtVCY0G8+tFHFGMw4OdNgrpojd6HbQlrwD6enS8VYr5Q9xXfsVZg4UFFejONsFxdAPyJ15rNUWP8jdRUGFHtsmBoxvycc1ZJqBS+tg0gcpQRCZAm469C4E2pU3HHoGxVyPRTsUvPfykscd/OGoU7d47xO7ktagdLfTiY9iMOVCpcmDc+xs4bTUwalVyuILWWIc2edovIbPQ5ySL4pvLsGBCDoy2j33K9Hei1VyFQjF4QPwrrIK5tTO0cpssJaZCsaHGmOeTUamgNW7H/k4xYt6n13XCSRay3RUouE6FULiECMkwo6pQ6z+3CFXmVnSGjdIXnzSaQvlrjajZ34HzPg35PwmQAAmQAAmQAAmQQAoSGIlOzCGodjcsK+6ARZGT27IOi099AR1v3atIjdj0noBtfQlKzO2hA/ZtKLP/J96t/znqSnORIU+CXoeVBeWwh6TgtpRDv78b1t9uwx2K9PBNEZu1EbqSOkVMdTO2lTVj57sNaK1bJQ86857ch/W6EpgDgdduCyr0ytqE58o9EiABEiABEiABEiCB0SeQQj3KcWDoqmHtOA9Juoge61pohHhzG9o/0aC48Shc1tW+DAxWuKQuNBbPQq/9Fawzt0NjaMCRPg8kyYO+Iw0waNph+cEutPWKdRk7sWejCXZooKtuhssjQfL0oKVaD7jrsO6l3+CG4h247DAhW5QgQi8uS+gSoRK9B/HSujq4NaWoPyJ0kyD1HUa9IRduy4/x07azAM7A/tJmn5OsewYtrotyHVyHXoZBrkScevMwCZAACZAACZAACZDAqBBIE0dZA/0qA5bPF1M9fFj/TwAAEZlJREFUTcKsO5YiRj+yH+Rn+OiD9+WeXrflcXkSbZVqAjJveRwW0bPrbvZNOfXJH/Fus0h4EE8+WQiNIKKehaWbm2TH17V1aWh6lAgTXfnoA1jlvMwou2WqL/QiMw9lFtGD7fRNo+IVc766hIcNw5OlWKqZJNdBs+hRGFflR+TIXRIgARIgARIgARIggVQhkCaO8hTMnHZDaHqvGXOQJ3fvxsL4KU4c9scpRxU7h1PnPscV1zG8F/V4vMQrOH2iyxe3PIio+9Q5/Nn7Z5ztFt70NMyc9gWF5GRMnZGp2OcmCZAACZAACZAACZBAKhFIE0f5apB9AdNmTpNPFLNKXA5Mch78K8IzbsZE7TzcJUudxbm+ZCZIVuOGadN9ISD+cAw59CKYvwSpsRga9Q2Yni1iLFz48PgZxepwF3D+dN/VVIznkAAJkAAJkAAJkAAJjACBMewoT0dBkV52ZLtr/xWWo2IGCzFB9rO+GTC0G9EqYpRv+gru1gtH9iB2NvwX3PIiJb04ai6DVsySMejCJWpkFdyDVeLU7ka8ZGmXZ9LwuvdjozwDRgGqWs/At5rNEhHrgeadu2GXZ+q4BHfbbjTudI6AiVkECZAACZAACZAACZDA1RAYw46yWAFqJTYZcgF3IIb4emiXPQM7cmHYtBKLstSAvPJXBXRww75FD+0EMY3cVNxSZoYbelRXFSFHiGVO9w3mU04Pl1WAJzaVQoN2WMrykKlSYYJWjy12NzSGJ/HEoukAJiOn6DGUCofa/ox/VbnroV28zhcrfTVW4zkkQAIkQAIkQAIkQALDTmAMO8oAMnJRWmdFS30ldAGUGgNMzVb/1HAiUY2M/LXY5bDCJJxq/09jMMHqaMCmpbPk2Gh1zv14vtbgC7WABjfDgwvIwsLS7bC31KNSJzxh8cuFwfQ27P6p4USKetZyvGh/O5S/rIMDLaagVr5T+T8JkAAJkAAJkAAJkEDKEBgjK/OlDM+UVyTaqjMprzQVjEmANo2JJy0P0qZpabaYStOmMfGk5UFhU/Hjynxpab6oSkdrp2O7RzkqBiaSAAmQAAmQAAmQAAmQQHwCdJTjM6IECZAACZAACZAACZDAOCRAR3kcGp1VJgESIAESIAESIAESiE+AjnJ8RpQgARIgARIgARIgARIYhwTiDuYbh0xYZRIgARIgARIgARIggXFIIHJwJnuUx+FFwCqTAAmQAAmQAAmQAAnEJzAxnkikZx1PnsdTm0C0qU9SW2NqF48AbRqPUPodp03Tz2bxNKZN4xFKv+PCpuJHPyn9bDeYxgGbKo+zR1lJg9skQAIkQAIkQAIkQAIk4CdAR5mXAgmQAAmQAAmQAAmQAAlEIUBHOQoUJpEACZAACZAACZAACZAAHWVeAyRAAiRAAiRAAiRAAiQQhQAd5ShQmEQCJEACJEACJEACJEACdJR5DZAACZAACZAACZAACZBAFAJ0lKNAYRIJkAAJkAAJkAAJkAAJ0FHmNUACJEACJEACJEACJEACUQjQUY4ChUkkQAIkQAIkQAIkQAIkkMaOcj+cNYUQq6jE/JdTA+eVRA3di87W3ahZU5fEOSLvK3Db1vj0MNrgTrQ4ypEACZAACZAACZAACaQsgTR2lIee6RXnT/CNZY+h4p3Phz5z5njtBLxutG03Qiu/HBWhynYU/WG5etHf2YQaY57/5akIVY1tcHvDhPw7Z9BaVaB4ydKiyHwUUUWjnc60oSEQ16YAEpGRxdrQWFUk21RrrEOb+9LQ6MhckiQgOhxex94aI3KqWtEb7WyvG87GKhTKbTkPxpomdPZHaX29rajSKjtDHoG580K0HJk2rAQSsKkoP669LsHt3ImqQi1UqjwYt783yP15WCszDjMXz0Y7bHtrYMzZiNbeKG0twXuo153AfVbZvrVGbG9zp/WzNY0d5Qzkbzggr7Eu1lmXLjtgyhbXvw4mR18ovWsD8ieOw3Yx5qp8Dr/b9x7w2KtwSRfhOvQgTq37Dp5vPROsqffk23j1TeDBut9DCshUL8fK2rYIhxrwnvwV/n2nM3gusASPLpmLNG4Qirqky2Z8mwKJyADob0PtyufQUWSGR7oIp/EMqlbWwRnN+UoXPGmp5wV0mr+HZxsb8FSFBZ9FrcM5OGs34KWzD2KXR4LU93PcfXgDdOv34WTY8/sSTr5jw07lJzr9fViSMzlqrkwcLgKJ2FSUHc9eXvQ767BywzEU7ToOyfM2jKe3RL0/D1dNxmu+3s4GPPbsT2F9qgKW6I0ysXtoQvdZ0b6/iw0d98jt2+P8Dk5XfRe1znPpi1+K8QOEv5kmv8sOyZQNCdBJJkdfhNIeqa/jgPSaySBpIGQgQVcp1bd0SD7Jy5LLutqXHjgOSNkmh3RZzum81NFcKxk0/nMBSWMwSVaHS/LIxxXnG6ySK6L0VNpNK5sqwHm6DkoHei4qUk5LLZX5kqayRTovp34udR14X+rxGcQv97nUUb9CgqZaajmvPPCp5DAZpMqW04r80ndz7NpUkuLbXdjNZ+fQtSDSxPVxp6SvP+Jvo+ll33S1aZCy54hUr9co2mfwiOTpqJf0EW3S02OVSjX54W2y75Bk0j8d0XZD+aTb1li2qWyLePaSr4k7w218vkWq1KyQ6js+TzdzyvoKm6aPXQd7HoqqJHIPTURGitK+PdL5lmpJo6+XOpSP4RS1eDR7joMONC/6j+7EWl0hVlRYQvHD9m0oW6bDN2sG9jaGv/ZcwknbRuj05bAoejbclgqUfPNH2HeSn3fDeQ3Pnjr7LuhmTQpl7j2D4x/ejPJHbkeWnDoZ2bqvY1bYFT0JM+fmQBM6y7fV+wH21Fqw7XkTzDZ79E++kedwf8gJxLcpkIgMvMdxcPcHyFugRUZQy+koKLobh3f/Gl1hvZRBAW6MCoEL6Dr4NprzcjA7I9RY1Zqv4K48F3Y2/cEfquFFb9s+1Db/G57/UT1srZ0DvgqNivosdBAC8e3l7fo1djfPwoLZoVaKrK+iaNVJ7D54PK0/zQ8CJX2SE7mHJiKDaO1bjayCe7Dq8Ns42JWeYVOhO1X6mDQ5Tb2d2LO+WnZyNYYGHOnz+D7LtzwDHdywVzyHHc5+aIp34LLDBDl6I9sEx2UJXRvyMdF7DE2viAF6D8Dk+FQO6fD0WFEqvC/3f+PYKTrKyRnkWqVFrFUrzNX/B11VL6M8f1rcDKfcX4AFwYfyBXTu3YFt4qVHvCyVFGLBN38AW2fUSMq4eVNgKAgkYtPBZXwP4Gm4be6NA0NnmtP35jwUZFMvj370dBwbqJb6Rsy9TQv3h8dxSrzYeDuxd2sD3OIeve0fUSI6NapsfKkdSC41UuLay+9AaXIwd6aiw0PW/iKa+UI7qnZM5B6aiIyv0+IgNLfNxcwB3uXBtH0hGlCVUbXWMBTuM67wilZg0/cfxULZYZoEzdK1eLoyH8Cb2HGgG4NOjKFeiNImFyTPqyjsaYXN9iqqv7MOZrl3uQ+nz6fnG9IwoB6BLMUAvEXIXLAMZdt+ifebDqErZgzqWTiaTmLNd5cqeponY37pHt/LkuMN1FfqAfsWlKyuZzzrCFhwYBGJ2DSWjBf9PV04jHnhPVUDC2JKShDIwOwF84BBXmCCD9jgfdcFx76foFIn3mvXYfUOB3uWU8KOEUrEtZf/BSniS0JELtwdFQKJ3EMTkRFjRVzoOIyIr3ujUqkhLXTsO8p9Z9EtkGUvwq3zlINAJmPqjEwZZvfhEzg9KNZeHDWXQTtBi4LlJSgp+UdsswdiMDIxY6oyz0Ez4YEhIXAjlm51QPK44GhYBWwriTIAKFCQGDiyC40z1mJN1F7nSdDk/x1Kt74Bl/i6YP937Gk7GziZf0eMQCI2TURmxBRmQddEYDLmP7wGlZrX8IMf7cZR+UVXzITwFprazg18wKo1yH/oH7C15bdoqc6DvXYf2gYZsX9NavHkoSFAew0NR+aSUgTGvKOszpzuC6fobsPvjyl7fy/g/Ok+2RjZeXMwYxCzeDv3Yn2ZGW7oUVn/GvY5XPAEZ9gY5CQmDy8BcTM2PotX6lfA/ZYDHdF6lfsdeHXPF1G9pkARtxpNrcDXBSjiI6PJMW1YCSRi06gyamTMzkEejqGjJ3yywGHVl5lfPYEsHZ62v41y1OCWzAnQGl/Ce79vR5v99sFnnlHPwtJ/rkIlmtHk4Avt1cMfoTMH2Mv/JeFwF3qi3a9HSC0WE41AIvfQRGQAZGixIA843OEaU19+xr6jnHMnHtWLgOKIHozWOjy/TUwP9gDWFGYj+gxygc8NADRfxuKiB/FQ/pfwya/+A2/K3dTRLjqmjQyBychZch/00QrznsDrr/4P7n/62/5Qm2hCyjRxE18wsDdLKcLtESAQw6bB0gfKqOU2fn1QwrdxCaeOd8HN6cQiuKTCrhoZ84uwofGwPObD1bgOX8X/oKNyDR6eH+MLnfwQXsAQm1QwYSI6hNlrYLuVs5AHZZ+D/tE7kTPmvZFEoI2OTCL30ERkoJ6LJY8uGVAJ76nj+NCdvlOwjv1LUz0fj2yugE6MvbM8LvdgqFTXQ7vsGdihgc70w+Cn+VDvcwUKrlMhp+Z3mLygAPfLA/fqUDL7evjOfQPQiWF/jFEe0CJGLMH3EtMdNlBPDAI6idYX30LmY38fcpL729Fofi/6wgeyvv3o6cpD1cPzBw4GG7H6sCBgEJuGoYkiI9+cZ0V8ERAxkSf5AA5jl4o7l+Bu3YrVO+/AG0/r/DPYDKJnvwtd+WWxnelBTmXyKBCIsJfsaOW9G/5FQI5pjfElYRTUHpdFJnIPTUQGvheivJ3vwBEMkfJ3OKZxp8XYd5ShRkb+erzRcQCvmQyhqcJ0lahvseONDYuCn+bVOffj+dqAjAY3w4NLs/4Om96woFLnn2RMV4kGx//Fz568B4Az4uE8LpvYCFRaTNG3DtrCKjQ6fSv8eN0teGHrWWysuCc0UK//KGzVpVhW/k9YphUvNf4VvTL12IUv+ewsVgx6/T/hDKzaJq/6Vgv7PaugyxoHzWEErJVYEYnYNBEZUdpkzH9kA8rbavFC60l4IZyvOjzf9jA2P8KXn8TsMdJSvpXC9tb8A/6m8UZs3bUW+cGZacRijE68/rozuGqb1/0etv/oA9zz5JLYzvRIV4PlyQQSspfcafUw2p6vQ6u4/4pOjRdq0Va+AY/E+pJAxiNAIJF7aCIygHp+MTaXH8HzL7TI7Vd+Vj9/BOWbizE/XR+xseZ8jjbxcix5Hkt9AulpU4/Ud6RBseBLrmQwWSWHS7EAiee4ZC3NHbBojKgvoJjQ3tMjtVTr/XIin19ILR2+JUtS33rRNRyzNpUSsLsCicd1UKo1iGtAI+kqLeHXh0IuHTbT06aCrH9xAcXCTWHtT3k8bNGncKt4XM1StU7ja6cag2R67YDU0ZcGqxWEVyNsb+zaVJISt9dFyXXoZf+9XC9VNhySXGlsVt/zJQ0WZpMXdgktmCbukdEWY0rkHpqIjORxSYdq/Qu86SqlhuDibGFNIiV3orVTldB0sNcV0SMX4/BgpzE9hQnQpilsnKtUjTa9SnApfBptmsLGuUrVaNOrBJfCpwmbih/9pBQ2UpKqRWun6doRnmTVKU4CJEACJEACJEACJEACyRGgo5wcL0qTAAmQAAmQAAmQAAmMEwJ0lMeJoVlNEiABEiABEiABEiCB5AjQUU6OF6VJgARIgARIgARIgATGCQE6yuPE0KwmCZAACZAACZAACZBAcgToKCfHi9IkQAIkQAIkQAIkQALjhAAd5XFiaFaTBEiABEiABEiABEggOQJ0lJPjRWkSIAESIAESIAESIIFxQoCO8jgxNKtJAiRAAiRAAiRAAiSQHIG4K/Mllx2lSYAESIAESIAESIAESCA9CUSutDgxVjUihWPJ8hgJkAAJkAAJkAAJkAAJjCUCDL0YS9ZkXUiABEiABEiABEiABIaMAB3lIUPJjEiABEiABEiABEiABMYSATrKY8marAsJkAAJkAAJkAAJkMCQEfj/AYTqnNZbQ2dJAAAAAElFTkSuQmCC"></p>
<p>A <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\chi ^2}">
<mrow>
<msup>
<mi>χ<!-- χ --></mi>
<mn>2</mn>
</msup>
</mrow>
</math></span>-test was performed at the 5% significance level.</p>
<p>The critical value for this test is 7.815.</p>
<p>The null hypothesis for the test is</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{{\text{H}}_0}">
<mrow>
<msub>
<mrow>
<mtext>H</mtext>
</mrow>
<mn>0</mn>
</msub>
</mrow>
</math></span>: Becoming infected during a stay in the hospital is independent of the ward.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the expected frequency of the patients who became infected whilst in Nightingale ward.</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>For this test, write down the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\chi ^2}">
<mrow>
<msup>
<mi>χ</mi>
<mn>2</mn>
</msup>
</mrow>
</math></span> statistic.</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, giving a reason, whether the null hypothesis should be rejected.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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 either sport.</p>
<p>The following Venn diagram shows the events “plays tennis” and “plays volleyball”. 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>
<br><hr><br><div class="specification">
<p>A group of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>130</mn></math> applicants applied for admission into either the Arts programme or the Sciences programme at a university. The outcomes of their applications are shown in the following table.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>An applicant is chosen at random from this group. It is found that they were accepted into the programme of their choice.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a randomly chosen applicant from this group was accepted by the university.</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 applicant applied for the Arts programme.</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 different applicants are chosen at random from the original group.</p>
<p>Find the probability that both applicants applied to the Arts programme.</p>
<div class="marks">[3]</div>
<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="\theta ">
<mi>θ<!-- θ --></mi>
</math></span> be an <strong>obtuse</strong> angle such that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{sin}}\,\theta = \frac{3}{5}">
<mrow>
<mtext>sin</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mi>θ<!-- θ --></mi>
<mo>=</mo>
<mfrac>
<mn>3</mn>
<mn>5</mn>
</mfrac>
</math></span>.</p>
</div>
<div class="specification">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f\left( x \right) = {{\text{e}}^x}\,{\text{sin}}\,x - \frac{{3x}}{4}">
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mrow>
<msup>
<mrow>
<mtext>e</mtext>
</mrow>
<mi>x</mi>
</msup>
</mrow>
<mspace width="thinmathspace"></mspace>
<mrow>
<mtext>sin</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mi>x</mi>
<mo>−<!-- − --></mo>
<mfrac>
<mrow>
<mn>3</mn>
<mi>x</mi>
</mrow>
<mn>4</mn>
</mfrac>
</math></span>.</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="{\text{tan}}\,\theta "> <mrow> <mtext>tan</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mi>θ</mi> </math></span>.</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>Line <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="L"> <mi>L</mi> </math></span> passes through the origin and has a gradient of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{tan}}\,\theta "> <mrow> <mtext>tan</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mi>θ</mi> </math></span>. Find the equation of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="L"> <mi>L</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 derivative of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f"> <mi>f</mi> </math></span>.</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>The following diagram shows the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f"> <mi>f</mi> </math></span> for 0 ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span> ≤ 3. Line <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M"> <mi>M</mi> </math></span> is a tangent to the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f"> <mi>f</mi> </math></span> at point P.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M"> <mi>M</mi> </math></span> is parallel to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="L"> <mi>L</mi> </math></span>, find the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span>-coordinate of P.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Jae Hee plays a game involving a biased six-sided die.</p>
<p>The faces of the die are labelled −3, −1, 0, 1, 2 and 5.</p>
<p>The score for the game, <em>X</em>, is the number which lands face up after the die is rolled.</p>
<p>The following table shows the probability distribution for <em>X</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>Jae Hee plays the game once.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the exact 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">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the expected score.</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>Jae Hee plays the game twice and adds the two scores together.</p>
<p>Find the probability Jae Hee has a <strong>total</strong> score of −3.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p>Six coins are tossed simultaneously 320 times, with the following results.</p>
<p><img style="display: block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p class="question" style="margin-top:12.0pt;">At the 5% level of significance, test the hypothesis that all the coins are fair.</p>
</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" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the Venn diagram using the given information.</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 value of <em>x</em>.</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="n\left( {\left( {F \cup H} \right) \cap S'} \right)">
<mi>n</mi>
<mrow>
<mo>(</mo>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<mi>F</mi>
<mo>∪</mo>
<mi>H</mi>
</mrow>
<mo>)</mo>
</mrow>
<mo>∩</mo>
<msup>
<mi>S</mi>
<mo>′</mo>
</msup>
</mrow>
<mo>)</mo>
</mrow>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</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,iVBORw0KGgoAAAANSUhEUgAAAxcAAAEOCAYAAAD7ZupGAAAgAElEQVR4Ae3dD5AV1b3g8d+41tvIUiwglMIygBBhzJuVPwJh15liHiETyEsKCkJS+MiECsimeOiuWw4acFesB6wy1jNPeZaFkELCaqUQCkojfx6ZB8WwxeKADG9WGJ78kWEH3REkPB4mWZfZ+rU2XoY70/fe7r59+pxvV1kzzO0+fc7n9G3Pr8+fLuno6OgQNgQQQAABBBBAAAEEEEAgpMBtIY/ncAQQQAABBBBAAAEEEEDAEyC44EJAAAEEEEAAAQQQQACBSARuz0ylpKQk85/8jgACCCCAAAIIIIAAAgjcItDVzIqbggvdSQOMrna+JVX+gAACCCCAAAIIIIAAAs4IBMUKDIty5lKgoAgggAACCCCAAAIIxCtAcBGvL6kjgAACCCCAAAIIIOCMAMGFM1VNQRFAAAEEEEAAAQQQiFeA4CJeX1JHAAEEEEAAAQQQQMAZAYILZ6qagiKAAAIIIIAAAgggEK8AwUW8vqSOAAIIIIAAAggggIAzAgQXzlQ1BUUAAQQQQAABBBBAIF4Bgot4fUkdAQQQQAABBBBAAAFnBAgunKlqCooAAggggAACCCCAQLwCBBfx+pI6AggggAACCCCAAALOCBBcOFPVFBQBBBBAAAEEEEAAgXgFCC7i9SV1BBBAAAEEEEAAAQScESC4cKaqKSgCCCCAAAIIIIAAAvEKEFzE60vqCCCAAAIIIIAAAgg4I0Bw4UxVU1AEEEAAAQQQQAABBOIVILiI15fUEUAAAQQQQAABBBBwRoDgwpmqpqAIIIAAAggggAACCMQrQHARry+pI4AAAggggAACCCDgjADBhTNVTUERQAABBBBAAAEEEIhXgOAiXl9SRwABBBBAAAEEEEDAGQGCC2eqmoIigAACCCCAAAIIIBCvAMFFvL6kjgACCCCAAAIIIICAMwIEF85UNQVFAAEEEEAAAQQQQCBeAYKLeH1JHQEEEEAAAQQQQAABZwQILpypagqKAAIIIIAAAggggEC8AgQX8fqSOgIIIIAAAggggAACzggQXDhT1RQUAQQQQAABBBBAAIF4BQgu4vUldQQQQAABBBBAAAEEnBEguHCmqikoAggggAACCCCAAALxChBcxOtL6ggggAACCCCAAAIIOCNwuzMlpaAIFFmgpKSkyGfkdAgggAACSQl0dHQkdWrOi4BRAgQXRlUHmTFB4PPDz0vZuFo5lZmZ4XXSeOJxecD7xlyVw89/X8bV7v1yjyqpa3xLHn+gZ+YR3u/8z+YWEv6AAAIIWCfAwyTrqpQChRAo6ejU+tEvSKc/hUieQxFIqcD1E/LLaZNl/j9Mk/X1L8hPy3p1Ksgf5X9v/c8y6TeTZd+rM+XfZBlgyHepExn/RAABBCwV4H5vacVSrKwCQdd7liZR1nT4IwJOCgz48V/ID24JLJTiuvzz5b6y9InvZg0snMSi0AgggAACCCDgvADBhfOXAADZBK5/8D/k17t7yLe/ea907rPw9r9+Vhq2igy9+0+yHc7fEEAAAQQQQAABJwUILpysdgrdvcDv5YOGnbJbxsqk8v7Zd73aJh/cXyXjevEVyg7EXxFAAAEEEEDARQFaRi7WOmUOELgq51tOiwyfIKOGfS3LvtflSuNeOfb1gXLrFO4su/MnBBBAAAEEEEDAEQGCC0cqmmLmIXDlmOz61WEZMGus3Jt1PbVL0rjr/8jMiqHCFygPV3ZFAAEEEEAAAesFaBtZX8UUMF+Bz//xiGy5MLzr+RZXT8uR/zWyi16NfM/G/ggggAACCCCAgD0CBBf21CUliUTgc2n/8AM5JaXyb4f0yZLidblyaJu88qejuujVyHIIf0IAAQQQQAABBBwRILhwpKIpZq4Ct8m/6t1XBsg/Sfvvfn/rQVcbZe1fHZef/XBs9lWkbj2CvyCAAAIIIIAAAs4IEFw4U9UUNDeB26TXhIdkRc0fZPVf1clrhy/Ide/AP8qFw1vl+b9cJL/585/Lzx7onVty7IUAAggggAACCDgkQHDhUGVT1BwFepbLT/92i/z2xyIbxg2Uf1FSIiUl/1IeePG0DP3J6/LW4xNYJSpHSnZDAAEEEEAAAbcESjo6Ojoyixz0Su/MffkdAQS6FuC71LUNnyCAAAI2CXC/t6k2KUuQQND1Ts9FkCCfI4AAAggggAACCCCAQE4CBBc5MbETAggggAACCCCAAAIIBAkQXAQJ8TkCCCCAAAIIIIAAAgjkJEBwkRMTOyGAAAIIIIAAAggggECQAMFFkBCfI4AAAggggAACCCCAQE4CBBc5MbETAggggAACCCCAAAIIBAkQXAQJ8TkCCCCAAAIIIIAAAgjkJEBwkRMTOyGAAAIIIIAAAggggECQwO1BO/A5AggggEA4gUuXLsknn3ySVyL9+vWTvn375nUMO+cncPLkyfwOEJERI0bkfQwHIIAAAi4JEFy4VNuUFQEEYhH47LPPpLW1VZqbm+Xq1avez08//VTWrVt343y1tbU3fs/ll7q6uhu7+cdOnDhRevbsKUOHDpXS0lK54447buzDL7cKnD9/3gvqTp8+LW1tbXLu3DnRgGL79u3eztOnT88rWMg8dvz48VJVVSW9e/eWsrIyGTZsmGhAOGjQoFszwl8QQAABhwRKOjo6OjLLG/RK78x9+R0BBLoW4LvUtU2aP8kMJA4ePCh79+6Vd999VzQAGDx4sAwcONBraPbo0SOSAMA/37Vr10QbySdOnJAzZ854gYs2jidMmOA1bsvLy/NqKKe5DrLlXXuHjh8/LqdOnfKCOw3O/ABAbe6++24vKNN6iSIA0MBF6+Ts2bNeQKnXgh98LFiwQEaNGiVjxoyRIUOGRHK+bGXmb+YIcL83py7ISfwCQdc7wUX8dcAZHBUI+vI5ypLKYmujUXslduzY4TXqtfFYWVkpw4cPT7TxqA3cDz/8UN577z3Zs2eP90Regxzt4dCgI4pGtKkVpkHXkSNHspZdg4mkenb8YFCvFz/4VMOamhov2LjvvvsY7mbqRRUiX9zvQ+BxaOoEgq53govUVSkZTotA0JcvLeVwNZ9Hjx6VhoYG2bhxo9cbMWXKFKmoqJCRI0caOxzJf3qvwUbnfI8ePTr1Vanla2xslM2bN98I8qZNmyam99poEPj+++97AaD2qGhwOnv2bBk3bhyBRuqvyi8KwP3ekoqkGDkJBF3vBBc5MbITAvkLBH358k+RI+IW0B6K3bt332iYz5w5UyZPnpzaHgBt1NbX18vWrVu9OQf69HzGjBmpKo/fQ7FhwwYvoFi5cqVMmjRJxo4da2yQ19116pdn3759smzZshuBhvaEMYemOzmzP+N+b3b9kLtoBYKud4KLaL1JDYEbAkFfvhs78kuiAtrY279/v7z88steA3zx4sWpDii6wtRAY9u2bTcCp0WLFnlDu0xt0PqB3iOPPOI1wOfNm5fagKKrOvEDDZ1grj0aL730klRXVzs9d6YrK9P/zv3e9Boif1EKBF3vBBdRapMWAhkCQV++jF35NQEBHWLz+uuvizZedZ7CQw89JDYMHcqF8sCBA978DJ2Mrr0ZWnZTlr3VvGkvRVNTk2ig973vfc+YvOViW+g+ej2+/fbbsmbNGm8Ynl6TDz74YKHJcVyRBbjfFxmc0yUqEHS9E1wkWj2c3GaBoC+fzWU3uWz6RFyXiPWfFJvUsC62m9+boQGWPjVPysJ/gq91ops2rNM67CmKOtQASy10+dwnn3xSdF6JqT1MUZTXhjS439tQi5QhV4Gg653gIldJ9kMgT4GgL1+eybF7SAE/qNCn9TTYbsbM7MUpdpChc1yeeuopntbfXCXev7hms6AY+ifu94ZWDNmKRSDoeie4iIWdRBEQCfryYVQcAW04v/LKK958A4KK7s2LGWT4T+c1RwwB6r5eMoOMF154geFS3XMl8in3+0TYOWlCAkHXO8FFQhXDae0XCPry2S+QbAl1qI0uWfqTn/zEG/Izf/58hpbkWCV+kKHL2UYdkPkNZf1JUJFjhXy5my6PvHz5cu9fq1evZuJ3fnyx7s39PlZeEjdMIOh6J7gwrMLIjj0CQV8+e0pqXkn0qfhjjz0mVVVVXuPYlMnK5kl1nyMNAHTsf3t7u9eoDTPhXYO99evXe6tVRR2wdF8K+z7VpYWfffZZb1nhn/3sZ05MeDe9Frnfm15D5C9KgaDrneAiSm3SQiBDIOjLl7Erv0YkoE/ctdGl8yrWrl3rzOpPEfF1mYw/L0LfkaFBW76Ti/WJ+8KFCwn2uhTO/wMN1nSIlC4vvGLFCm8J2/xT4YioBLjfRyVJOmkQCLreCS7SUIvkMZUCQV++VBbK4Ez7DWBdvlTffpxvA9jgohmRtczGbK6BWyHHGFHYFGVCe5eWLFniDZHSHiF66ZKpPO73ybhz1mQEgq7325LJFmdFAAEEohHQBqw2rvQleJs2bfLe20BgEY1tZipqunTpUq9HSHshVq1aJWrf1aa9Ffombd30bdRhhlR1dQ7+Ll5Q8cYbb8jgwYNl6tSpokMC2RBAAIEkBQguktTn3AggEEpAn9pqA7Z3796iDawRI0aESo+DgwU0SNBg4fLlyzJnzhzRd2V03nQiuAYgOmxHAxKCvc5C0f5bfbXHTnuUdNiavoivu8Av2rOTGgIIIHCzAMOibvbgXwhEJhDUbRjZiRxNyJ/UytKcyV0AWgezZs2SXbt2eWP+dc7LE0884WXo6aeflkGDBiWXOUfPTB0kU/Hc75Nx56zJCARd7wQXydQLZ3VAIOjL5wBBLEXUJ7LacNVeC31CSwM2FuacE9V6mDt3rjck55133pF58+YJy/7mzBfbjtp7pN+PXOfHxJYRRxLmfu9IRVNMTyDoeie44EJBICaBoC9fTKe1OlkdgvPMM89Inz59vJ8MtzGjuuvr6+Vb3/qWfP/735df//rXDIMyo1q8+Rc6TEones+cOdOQXNmZDe73dtYrpcouEHS9M+ciuxt/RQABwwQ0sNAG0qhRo0RfIEZgYUYF6dNxbbweO3bMGxqlc2CyzcMwI7du5eLBBx8Uf/ig1hMbAgggUAwBei6Kocw5nBQIiuydRCmw0P5L8ZhfUSBgTIdpg3XPnj03DU/zh+Noo5YhazHB55msDiV89NFH6fHL0y2f3bnf56PFvmkXCLreCS7SXsPk31iBoC+fsRk3LGMaWFRUVEhDQ4Pok1i25AX8eS+ffvqpvPjii7f0IhEMJl9HnXPgBxj692x11nl//p2fAPf7/LzYO90CQdc7wUW665fcGywQ9OUzOOvGZM1vpOr7K1hm1oxqybWRSlBoRn1l5kLrTnv/zpw5Q4CRCRPB79zvI0AkidQIBF3vBBepqUoymjaBoC9f2spT7Pz6gQXDa4ot3/X5cg0s/BQIMHwJs37qcLampiYCjAirhft9hJgkZbxA0PXOhG7jq5AMImCSwFU5/Pyfid5Yuv1v4FKpv3K94IwTWBRMF9uB+QYWmhEdxqbD2XRYm9YpmxkC+sI9XRhB52FovUa7dXOP+LMn5Jf1J+VqtCckNQQQMEyA4MKwCiE7CJgt0FMeePy38rvf/lwGyHCp2XJOOjo6Mv77nRxf/1MZ/uMpMq5XYbcX/2k3PRZmXQn6bhHd8h2vnxlgsIqUOXWqAcY999wTQ4CReY94QJb8tv2L+8M/HZctE47K/G/Nkv+49UMp/NGDOYbkBAEEsgsU9n//7GnxVwQQcELgj/LR2Q/kgoyVSeX9O5W4l4yoqJa//M790qvTJ7n8U1/I5k/eZqWhXMSKs48Oo+lq8nYuOfADDF1KmAAjF7Hi7KPvwNDNDxyjP+swGTmo5xfJ9iyTGfN/JNXSLL/cflg+jv5kpIgAAoYIEFwYUhFkA4H0CFyV8y2nRaqnSsXXv/Zltj+R+v/6ihz+XOS2ET+Sxyb3y7s42ujUNz2zKlTedLEeoEvL6nKz+fZYdM6UBhj+y9wuXbrU+WP+nYCAvitG61UDx2jfg3FJGnftlgs33SOuy9XzH8g/yACpnvQNuSuB8nJKBBAojgDBRXGcOQsC9ghcOSa7ftUm1T/69/J17w5yRU5u/Wt57g8j5N7bCyumjvvWp9ra+NRGKJsZAjpETRud+l8ULy3UOq6pqZEnnngihrH+ZpilLRdar88995xoELl79+5osv/5h3Jky2EZ/u1RMkzvEdcvyOGtfy2PzN0gI5eskZd+OEJofERDTSoImCjAalEm1gp5skIgaDWFtBby+slfyrSR8+XmZsgAqV5fLzt+WlZQo+Hhhx/2JpjqOHA2MwS0J6m0tFRaWloiXwZY61vH+y9dutSMwpILb7iaBn9r166V0aNHhxLJfo/4c6lr3CSPP9A7VNqmHmzr/d5Ub/KVrEDQ9c7Dg2Trh7MjkDKB38sHDTtlt8yW9S2ffTFR8/+dl9/+fJp8e9SgggILfzjG/PnzU2Zhb3b9nqRdu3ZFHliomg7FOXTokOikfTYzBHSOk74DY+HChSHnxfj3iP8gW9r+r3R0/EHaGjfKkqojUvv430j9hT+aUWBygQACsQkQXMRGS8II2CjQLs37jogMnyCjhn053+K2O2XQyIky9t4eeRdYh93ocAwdlhHFsJu8M8ABWQV0gq8OX6qurs76edg/al1rUDlr1izRSfxsZgjokETtPXzmmWdCDFvz52RNkPK7dJzkn8iAB/5Clv2XeTJg73KZ+4sGuWJGcckFAgjEJEBwERMsySJgpcCVf5T/+XenZMCssRnzK74mI37ysEzOc+lZHXajq9XoMIy+fftayZXGQmlvgk7wjbsnSZ+Ua8+ITuKP/l0LaZQ3I88aVOq2fv36wjLkzcnKmG/hpXKb9PjXfUUfP1z46LL8c2EpcxQCCKREgOAiJRVFNhFIXuC6XGncI7+6MFy+/c17C1pqNrMM+nRUn5KGHd+dmSa/hxPQXgTtTdCei2L0JGnPyIwZM2JcCjWch6tH+xO8jx49mjfB9Y/OytELD8issUPkq/UdLkvT3++VU6wUlbcnByCQRgGCizTWGnlGIAmB662y57+/JRdkikz/dwNC5UCHQunmPyUNlRgHRyKgvQdLlizxehOK+Y4R7b3SoCaylYoi0XA7Ee1J1B5FnX+R17LB1z+Ubc+9ILsHVMt3xn3RG3n9wiF57Ykfybja38iAmv8mf8NKUW5fXJTeCQFWi3KimilkEgJBqykkkadCz/n54eelbFytnLqRgL6d++/ltZmlN/6S6y/akBw5cqS0trZKMRuxuebP1f1WrVolly9fltWrVxedQK8JHR61c+dOhsgVXb/rE+ZzTdx6j8hIt2qJrP9PP5Rp339ABlj6SNOm+31GzfErAlkFgq53gousbPwRgfACQV++8GdIXwr6dHzOnDlej4Uue8lmhoAJjXvtzWpubk4kuDGjFszLhX5fJ02a5K0ixftnuq8f7vfd+/CpXQJB17ulzxDsqkRKg4AtAjt27JD+/ft7L8yzpUxpL4c/HGrFihWJ9hrMnj2b4VGGXUw670aHR+nQNb1O2BBAAIFcBOi5yEWJfRAoQCAosi8gyVQfomO377zzToZDGVaLujrUwYMHjegx0AnEOs5/3759RZlQblhVGJsdHR7Vq1cvbwEGYzOZcMa43ydcAZy+qAJB1zvBRVGrg5O5JBD05XPJQsuqk4XLy8uZxG1QxZsY8NGQNegC+TIrep1MnTpVNm3aFMtLFc0rcf454n6fvxlHpFcg6HonuEhv3ZJzwwWCvnyGZz/S7PFEOlLOyBIzMeDzA56WlhYaspHVdPiETOrhCl+a6FPgfh+9KSmaKxB0vTPnwty6I2cIWCOwfPly0TH9xXh3gjVoMRdEJ3Hv3btXdK6DSZsug7plyxZZt26dSdlyPi/Tpk3z5sQcOHDAeQsAEECgewGCi+59+BQBBEIK+I0RfWEamzkCdXV18uSTTxoZ8GlDVgMfDYDYzBDQBwO1tbWi1w0bAggg0J0AwUV3OnyGAAKhBbQxoo0SNnMENOBrb28XbcSbuGlDVgMfHbbFZo6Avxyt/8DAnJyREwQQMEmA4MKk2iAvCFgm4DdC/EaJZcVLbXH8gM/kYWr+e1D8ayi12JZlnN4LyyqU4iAQgwDBRQyoJIkAAl8I+I1YPMwR8BvraQj4tCG7YcMGc/DIifjXjX8dQYIAAgh0FiC46CzCvxFAIBIBv/HhN0YiSZREQgts375dFi1aFDqdYiQwduxYaWpqYu5FMbDzOAe9F3lgsSsCDgoQXDhY6RQZgWII0GtRDOX8zuGvEFVZWZnfgQnt7c+9YOWohCqgi9P6Dwz8Bwhd7MafEUDAUQGCC0crnmIjEKeANmLb2tpuDKGI81yknbvAm2++aewKUV2VQieda6Cq779gM0dAe7+0F4wNAQQQ6CzAS/Q6i/BvBCISCHrJTESnMTIZfctyWVmZ+JNyjcykY5nyX0538eJF0XdJpGlbs2aNl93FixenKdtW5/Wzzz6TSZMmib5cb9CgQVaXNZfCuXy/z8WHfewSCLreCS7sqm9KY5BA0JfPoKxGmpU0N2IjhTAsMW0EnjhxQpYuXWpYzoKzc/78eS9Q3bdvn5Hv5QgugZ17EPR9Va+u3u+/EuA3lwSCrneGRbl0NVBWBIogoC8/W7lyZeqejheBJtFTbNy4Ub773e8mmodCT65PxkeNGiVHjhwpNAmOi0FgxowZoteV9mKwIYAAAr4AwYUvwU8EEIhEIM2N2EgADEzk6NGjXq5Gjx5tYO5yy9K8efMY458bVdH2IugrGjUnQiBVAgQXqaouMouA2QI6fEUncqe5EWu2cGG5a2hoSP38F12WlondhdV/nEfNnj1bdLgaGwIIIOALEFz4EvxEAIHQAvX19VJTUxM6HRKIVkB7kyZPnhxtokVOTZel1eF2jY2NRT4zp+tOYNy4cbJs2TKGRnWHxGcIOCZAcOFYhVNcBOIU0EnDFRUVcZ6CtPMU0CFRAwcOtGJFH12daPPmzXkKsHucArry2IIFC5gPEycyaSOQMgGCi5RVGNlFwFQBhkSZWTM2DInyZXVolL5Qj3de+CJm/GRolBn1QC4QMEWA4MKUmiAfCKRcgCFRZlagDUOifFl/aNTx48f9P/HTAAF/aJQBWSELCCBggADBhQGVQBYQsEFg//79DIkyrCK1N0k3m15ypg1ZJhCbdaH5Q6P8VcnMyh25QQCBYgsQXBRbnPMhYKGArnOvw1VGjhxpYenSW6RDhw5ZN8Feg4tt27alt1IszXllZaUcO3bM0tJRLAQQyEeA4CIfLfZFAIGsAi0tLd6kTh22wmaOwMGDB2XMmDHmZCiCnOhTcp2gfvLkyQhSI4moBO6//37R3ks2BBBAoKSjo6MjkyHold6Z+/I7Agh0LeDSd0nH9ffs2TP171LoujbT+YlegxcvXrTubelr1qzxAoyZM2ems2IszLX2Xvbo0UOuXbsmLj5kcOl+b+HlS5HyFAi63um5yBOU3RFA4FYBfWI5bNiwWz/gL4kJ6JP96dOnWxdYKKj2xpw4cSIxW058q4AGFLokrfZisiGAgNsCBBdu1z+lRyASAeZbRMIYaSJnz56VCRMmRJqmKYkNGTKEeRemVEZGPnTexenTpzP+wq8IIOCiAMGFi7VOmRGIUMB/Qu7iUIgIGSNPSuulrKws8nRNSFBXv3r33Xd534UJlZGRh+HDh4vO82FDAAG3BQgu3K5/So9AaAGbn5CHxkkwgaamJikvL08wB/Geura2Vs6dOxfvSUg9LwHtUdq7d29ex7AzAgjYJ0BwYV+dUiIEiirw0UcfWfuEvKiQEZ9Mh6qVlpZGnKo5yWngxBAcc+pDc+L3KOnkbjYEEHBXgODC3bqn5AhEItDc3Gz1E/JIkIqciL48b/z48Vav2nP33XczqbvI11Uup9NJ3a2trbnsyj4IIGCpAMGFpRVLsRAoloAOg9AlKNnMEdDlQKuqqszJUAw5GTp0qFy+fDmGlEkyjMA999wjOlSSDQEE3BUguHC37ik5ApEI6MRaHQ7BZo6AC71J/fr1k7q6OnPQyYknoIsIXL16FQ0EEHBYgODC4cqn6AiEFfBXigqbDsdHK6CNO32poc2bvqmbzTyBu+66ixWjzKsWcoRAUQUILorKzckQsE9gxIgR9hUq5SXSngsXXmqo4/s1wGUzR6B///7mZIacIIBAIgIEF4mwc1IE7BDQsdW9e/e2ozCWlcKFeTB9+vSxrNbSXxy97liONv31SAkQCCNAcBFGj2MRcFxAh9/Y+qK2NFetK5PsNbBtb29Pc1VZl3d/OVrrCkaBEEAgZwGCi5yp2BEBBBBIh4Ark+w1sP3444/TUSnkEgEEEHBEgODCkYqmmAjEIdDW1hZHsqSJAAIpF+BFeimvQLKPQAgBgosQeByKgOsC586d4wV6rl8ElB+BTgK1tbW8SK+TCf9EwCUBgguXapuyIoCA9QI8Mba+iikgAgggYLQAwYXR1UPmEEAAgfwEWltbRZ8cu7DxTgUXapkyIoBA2gQILtJWY+QXAQQQQMAT4J0KXAgIIICAeQIEF+bVCTlCAAEEEEAAAQQQQCCVAgQXqaw2Mo0AAggggAACCCCAgHkCBBfm1Qk5QgABBEIJnDx5MtTxaTmYN8SnpabIJwIIuCRAcOFSbVNWBBCwXmDEiBGyfft268upBeQN8U5UM4VEAIGUCRBcpKzCyC4Cpglcu3bNtCyRHwQQSFDAlZ6zBIk5NQJGCxBcGF09ZA4BswXKy8vl9OnTZmeS3CGAQFEFtOdMe9DYEEDATQGCCzfrnVIjEIlAz549I0mHRBAoRECHRbEhgAACCJglQHBhVn2QGwQQQCC0wIIFC8SFoSnNzc0ybNiw0F4kgAACCCAQnQDBRXSWpISAcwK8IdnMKu/Tp4+ZGYshVz169IghVZIsVECDWg1u2RBAwF0Bggt3656SIxBagDckhyaMJYHevXtLe3t7LFGUpF4AABgkSURBVGmblOjevXuF4MKkGvkiLy4Ft+bpkyMEkhcguEi+DsgBAqkV0IadNvDYzBIoKyuTjz/+2KxMxZCbd999VwYNGhRDyiRZqIC+e2Tw4MGFHs5xCCBggQDBhQWVSBEQSEpAG3bawGMzS0An2p84ccKsTEWcm/Pnz8v48eMjTpXkwgroJPuBAweGTYbjEUAgxQIEFymuPLKOgAkC06dPd2LysAnWueZh6NChcvny5Vx3T+V++n6VqqqqVObd5kwfPHhQdC4WGwIIuCtAcOFu3VNyBCIR0PXsXRjfHwlWkRLp16+f1NXVFelsyZxGV4pi+E0y9t2dVSd0MxerOyE+Q8B+AYIL++uYEiIQq8DEiROdGN8fK2LEifft29dL8dKlSxGnbE5ybW1tvKjNnOq4kRNeoHeDgl8QcFaA4MLZqqfgCEQjwHK00ThGnUptba2cO3cu6mSNSa+pqUl0+BebOQIsQ2tOXZATBJIUILhIUp9zI2CBwJAhQ1gxysB6LC8vl9OnTxuYs2iytG7dOiktLY0mMVKJREBXirrnnnsiSYtEEEAgvQIEF+mtO3KOgBEC/opRNg/BMQI6z0wMHz5cdHKtjZs+IdeFBO644w4bi5faMmm9jBs3LrX5J+MIIBCNAMFFNI6kgoDTAjoE5/jx404bmFb4++67z9pJ3TqZe8qUKaaRO5+fPXv2MFTN+asAAARECC64ChBAILSATup+7733QqdDAtEJ6KRufbqv74OwbdMemTFjxthWrFSXR3sumcyd6iok8whEJkBwERklCSHgroCO79enlmxmCejT/ffff9+sTEWQG11mV3tm2MwR0J5L7cFkQwABBAguuAYQQCC0gL7rQp9aMu8iNGWkCejTfduCPn++hb/cbqRgJFawgPZcag8mGwIIIEBwwTWAAAKRCKxcuVIaGxsjSYtEohHw51189tln0SRoQCo6JIr5FgZURKcsbNy4USZMmNDpr/wTAQRcFCC4cLHWKTMCMQjoKjEEFzHAhkhSn+4vWLBAWlpaQqRi1qH79++XiooKszLleG50Xs/AgQNFV45jQwABBEo6Ojo6MhlKSkqk058yP+Z3BBDIUcC175IOibrzzjvl2rVrLBGa4zVSjN30ifKVK1dk8eLFxThdrOfwrzH+HxUrc96J23SN5V34Lw9w7X5fqBPH2SEQdL3Tc2FHPVMKBBIX8J+SHzlyJPG8kIGvBCZPniza+LNh054xHX7HZpbA1q1b6U0yq0rIDQKJChBcJMrPyRGwS2D27Nmyb98+uwqV8tLoUBUdsnL06NGUl0Rk8+bNMmnSpNSXw6YC6JCotrY2GT16tE3FoiwIIBBCgOAiBB6HIoDAzQI672LZsmVi0wTim0uYzn/NnDlTGhoa0pn5L3OtQ6Kamppk7NixqS6HbZmvr6+Xmpoa24pFeRBAIIQAcy5C4HEoAt0JBI1J7O7YNH+2ZMkSbzWf6urqNBfDqrz7cxXSPB+Gcf1mXpK6QtSmTZtEl6N2eXP1fu9ynbtc9qDrnZ4Ll68Oyo5ADAL6VmgdvsJmjoAN82HWrFkjBKzmXFOakwMHDnhD7lwPLMyqFXKDQPICBBfJ1wE5QMAqAR22osNX9GVnbOYIzJs3TzZs2GBOhvLICY3YPLCKuKu+OHPRokVFPCOnQgCBNAgQXKShlsgjAikSuOOOO7xlT3fv3p2iXNuf1TQHfTRizbs+dahdXV2dVFZWmpc5coQAAokKMOciUX5ObrNA0JhEm8vuj/G/ePGi6JAcNjME0jhvQVcj0gnpugqZBq5sZgjoMDXdbHh/ShSiLt/vo/AjjXQJBF3vBBfpqk9ymyKBoC9fiopSUFZXrVolZWVlXsOwoAQ4KHKBNAZ9NGIjvwxCJ6irwemSwPp+C97K/QWn6/f70BcVCaRKIOh6J7hIVXWS2TQJBH350lSWQvKqcy7mzp3LE+dC8GI8Jk2N9TQGQzFWnTFJa1Bx8OBBWb16tTF5Sjojrt/vk/bn/MUVCLreCS6KWx+czSGBoC+fCxS6LO3EiRPpvTCostPUYE9TIGRQFceaFb/XguVnb2bmfn+zB/+yWyDoeie4sLv+KV2CAkFfvgSzVrRT03tRNOq8TpSGRnuagqC88FO+M70W2SuQ+312F/5qp0DQ9U5wYWe9UyoDBIK+fAZksShZoPeiKMx5nSQNDfc0BEB5oVuwM70WXVci9/uubfjEPoGg653gwr46p0SGCAR9+QzJZuzZoPciduKCTmBy4z0NwU9B6Ck/SFcba25uZq5Flnrkfp8FhT9ZKxB0vRNcWFv1FCxpgaAvX9L5K+b5deWoXr16sWxlMdEDzuU34FtaWsS0Nyxrb9fgwYO5XgLqsJgf+9dLa2srK0Rlged+nwWFP1krEHS9E1xYW/UULGmBoC9f0vkr5vlpmBRTO/dzmTh+np6u3OuvmHvygKB7be733fvwqV0CQdc7b+i2q74pDQJGCuiL9LZs2SIvvviikflzNVPTpk0TbcwfOHDAGALttVixYgUvzDOmRsS7RrZt2ybz5883KFdkBQEETBUguDC1ZsgXApYJ+A3Z3bt3W1ay9BZH33i9fPlyeeyxx0Qn6ya9aU9K//79pbq6OumscP4vBfS6IODjckAAgXwECC7y0WJfBBAoWMBvyD711FNGNGQLLohlB44ePVqqqqpk/fr1iZbs/PnzMmvWLKmtrU00H5z8ZoEdO3YQ8N1Mwr8QQCBAgDkXAUB8jEChAkFjEgtNN+3H6dht3ZYuXZr2oliTf50TM3XqVEnyxWgPP/ywVFZWSk1NjTWuaS+IBnylpaXCJO7gmuR+H2zEHvYIBF3v9FzYU9eUBIFUCOgQHB2/bdI4/1TAxZhJnROj8xzmzp2bSK+SDodqb2+X2bNnx1hKks5HQIdDPfPMM95cqUGDBuVzKPsigIDjAgQXjl8AFB+BYgvo8Ki1a9d64/z1iTmbGQI6z0GHR73wwgtFzZA/HGr16tVM4i6qfPcn27x5s7fDzJkzu9+RTxFAAIFOAgyL6gTCPxGISiCo2zCq86Q1HX2JW1NTk7z66qtpLYJ1+fbfwKwBxoMPPhh7+fR8c+bM8YZC0YiNnTvnExw9elQWLlwoO3fuFO3VYgsW4H4fbMQe9ggEXe/0XNhT15QEgVQJ+Mta6lt/2cwQyOxV0h6FuDedRK4v8COwiFs69/S1N1EDCw0wCSxyd2NPBBD4SoCei68s+A2BSAWCIvtIT5bSxLQBqw1LHSalqxaxmSGgAd/+/fu995JowBHHpksS68ph+/btYzhUHMAFpqkT60eNGsXb0fP0436fJxi7p1og6Hqn5yLV1UvmEUi3gE4U1Sek+qS0GE/K061VvNzrik19+vSJbf6F1vV3vvMdb3WquIKX4mnZcyYdqqib36toT8koCQIIFFOA4KKY2pwLAQRuEdCx/YsXL/b+0zH4bGYI6EpBhw4dkqiHremwG+2t2rVrlzckyozSkgvtSdK6fu655+hJ4nJAAIFQAgyLCsXHwQh0LRDUbdj1kW5+ou+/OHPmTKxDcdyULbzU/rC1qCZ4a/D46KOPMuym8CqJ5UhdFrqiooL3WYTQ5X4fAo9DUycQdL3Tc5G6KiXDCNgpoO+/0C3pN0XbqVtYqXTYmr5YTxueuoJQmM0PLHS4lfZUsZkhoAGkfvcaGhqE91mYUSfkAoG0CxBcpL0GyT8Clgjo2PsXX3zRW57WH/ttSdFSXQxdzUkbnmHnxfhBow63YjNDIOqeKTNKRS4QQCBpAYKLpGuA8yOAwA0BDTCefvppb+w3AcYNlsR/0XkxOjRK50pogzTfzX+niQaPTODOVy+e/f3AQifvF+OdJvGUglQRQMBEAYILE2uFPCHgsIAOzdi6dSsBhmHXgDZAV6xYkXeAQWBhWEWKeAGiBooaWDBEzbz6IUcIpF2A4CLtNUj+EbBQgADDzEqtrq6+8TbtXHowCCzMq8fMHgsCC/PqhxwhYIMAq0XZUIuUwUiBoNUUjMy0YZmiIWRYhXyZHV1dSCcBaw9TV5OACSzMqzu+T/HVCff7+GxJ2TyBoOudngvz6owcIYDAlwJ+D8aePXtEG6tsZghkzsHQQCNz01WhlixZ4k3MZ45Fpkyyv/uBhf9OmWRzw9kRQMBmAXoubK5dypaoQFBkn2jmUnbyzGVMdbUhJgWbUYH++xF0NSkNOPx60twRWJhRR5qLzvVkTs7syQn3e3vqkpIECwRd7/RcBBuyBwIIJCzgL1Or2dCXsOlbntmSF9CAoqWlxRsi9Ytf/EImTZrkvSDv1VdfJQBMvnq8HOjQNf89FlpfbAgggEDcAvRcxC1M+s4KBEX2zsKELLgOj9q4caP3cjd9BwNb8gLbtm3z3oOhjdfXX3+dwCL5KvF6kfTdIvpd6W5ujAFZtSIL3O+tqEYKkaNA0PVOz0WOkOyGAAJmCOiYcX3nwsiRI71Gkxm5cjcX2nhdtWqVvPXWW3LvvffKnDlzCnoXhruC0Zdc51doD19TU5Ps27evy0n30Z+ZFBFAAAERgguuAgQQSJ2APiFvbW31nsrq5GEd689WXAEdmvbwww/L/v37vSDvm9/8pqxevdpbqra0tFR2795d3AxxNk9A51foOywqKyuF4WlcFAggkIQAwUUS6pwTAQRCC+hKUm+88Yb07t3bG+t/8uTJ0GmSQG4CR48elalTp3rzK3TiduZytNqw1XkYTz31lNejQeCXm2nYvdRZhwzq/Iq1a9d6QV7YNDkeAQQQKESA4KIQNY5BAAEjBHSi99KlS703R8+dO9fryaAxG1/VqK0OgVq4cKHXgNUhatlW7tK5MDocRzed5K3BCFt8AhpY63C0c+fOyc6dO2X06NHxnYyUEUAAgQABgosAID5GAAHzBfTN0dqoam5u9hpZ9GJEX2caIGigoJsGDkENWD/w0/kxGoxoUELgF229qKfOedHAetGiRd6wtL59+0Z7ElJDAAEE8hQguMgTjN0RQMBMAW1U6Zh/bWRpY0sbsyxZG76u1FDntfi9FdpTlK23oqsz6fyYzF4M5mJ0JZXf33VuhQZ7GlBrYK0BNhsCCCBgggBL0ZpQC+TBSoGgpdqsLLQhhdIG8SuvvCK6ROqTTz4p06ZNy6tBbEgxEs2GPhXfsWOHzJo1S1577TWZPXt2aEPt/Vi+fLn0799famtrhaWE869i7ZVbt26d7N271xuaFtSDlP8ZOKIQAe73hahxTFoFgq53ei7SWrPkGwEEuhTQXgx9wr5p0yavgazj0fVJL1tuAtq7oE/FDx486K3KVVNTEzqw0DNrQ1gDPg32tHdJe0ToXcqtTtRJJ2zrEswTJ07MaWhabimzFwIIIBCtAMFFtJ6khgACBgnok3FdjlOfktfV1cmMGTMIMrqpHw3A1Ojll1/2norrMLPMlaC6OTSvj3RFKR0qNXjwYLnzzju9RjNBRnZCP6hQJ90uXrzoLTWbz9C07CnzVwQQQCAeAYZFxeNKqghIULchRMUX0MazBhm6acCh8wFc33T405EjRxJz0cazvtX7kUcekZdeeskLbuIIaNJWz51dHnroIWGytrm1yP3e3LohZ9ELBF3vBBfRm5MiAp5A0JcPpuQEMoMMHfLj4pwMbbzquP1nn33We1/FvHnzEg22/Ma0rn5UVVUl2ph2cT6Bzql48803ZdmyZV6wRVCR3H0inzNzv89Hi33TLhB0vRNcpL2Gyb+xAkFfPmMz7lDGdIKxPjXX3gx9aq4r7tg+yVjL/M4773iN15UrV8oPfvADo8rsTyTXIEM3Df402LD5qb2WWd90rsPR2travEUIbC+zbbcZ7ve21Sjl6U4g6HonuOhOj88QCCEQ9OULkTSHRiygT83ffvttb+z/wIEDvTHtkydPjmW+QcRZzym58+fPS319vWzdutXbPy0N9s6BkE4yHzt2bCSTy3OCi3Enfziazj3RXgodpjd9+vREe49iLK71SXO/t76KKWCGQND1TnCRgcWvCEQpEPTli/JcpBWdgDZoGxoavJeTpTnQ0OE1utqTBhT6NFwDirT2zGjw19jYKJs3b/aWYdUeFw007rvvvlT1aHQOKBYsWOAt8Ttu3LhUlSO6b5s9KXG/t6cuKUmwQND1TnARbMgeCBQkEPTlKyhRDiqqQGagoSfWBvqYMWOMbNRq78T777/vNcJ1uVcNjKZMmSIVFRVWzV3wA409e/Z4w9m0gV5ZWSn333+/t0yraaso+UGeDnvS91MQUBT1K1y0k3G/Lxo1JzJAIOh6J7gwoJLIgp0CQV8+O0ttb6k6N961pLpsa1lZmZSXl0u/fv2K9vRZG9jnzp2T06dPe70TOjHbz48+Bf/GN75hzZCu7q4o7QloaWmRY8eOeXMW/Mb7qFGjvHkkQ4cOLep8Eg0k2tvb5dSpUzflx+TgpztfPstdgPt97lbsmX6BoOud4CL9dUwJDBUI+vIZmm2ylaOABhsffvih15Bsbm6+aSnX3r17e0GHJqWBh7/lOllcG6n+pmnrpkOcPv30U+/p9/jx471Jzpr28OHDZciQIU4EE75JVz812GhtbRU1O3HihJw5c8bz0rkMaq/v1dAenbvuust7S7imk2tQqAHdJ5984p1aA4iPP/5Yrl696p1L62v79u3enIkJEybcCDhLS0utmB/SlTd//0qA+/1XFvxmv0DQ9U5wYf81QAkTEgj68iWULU4bo4DfAD179qzX8NS5DtrDoJvfAM3l9Dp0pk+fPt6uGkD07NnzRoOYBmsugjfvo4HgtWvXvEBAP9FAzd/89574/+7up0669jd9S7ZufvCYa+DoH89PuwS439tVn5Sme4Gg653gons/PkWgYIGgL1/BCXMgAggggIBRAtzvjaoOMhOzQND1flvM5yd5BBBAAAEEEEAAAQQQcESA4MKRiqaYCCCAAAIIIIAAAgjELUBwEbcw6SOAAAIIIIAAAggg4IgAwYUjFU0xEUAAAQQQQAABBBCIW4DgIm5h0kcAAQQQQAABBBBAwBEBggtHKppiIoAAAggggAACCCAQtwDBRdzCpI8AAggggAACCCCAgCMCBBeOVDTFRAABBBBAAAEEEEAgbgGCi7iFSR8BBBBAAAEEEEAAAUcECC4cqWiKiQACCCCAAAIIIIBA3AIEF3ELkz4CCCCAAAIIIIAAAo4IEFw4UtEUEwEEEEAAAQQQQACBuAUILuIWJn0EEEAAAQQQQAABBBwRILhwpKIpJgIIIIAAAggggAACcQsQXMQtTPoIIIAAAggggAACCDgiQHDhSEVTTAQQQAABBBBAAAEE4hYguIhbmPQRQAABBBBAAAEEEHBE4HZHykkxEUhEoKSkJJHzclIEEEAAAQQQQCAJAYKLJNQ5pxMCHR0dTpSTQiKAAAIIIIAAAr4Aw6J8CX4igAACCCCAAAIIIIBAKAGCi1B8HIwAAggggAACCCCAAAK+AMGFL8FPBBBAAAEEEEAAAQQQCCVAcBGKj4MRQAABBBBAAAEEEEDAFyC48CX4iQACCCCAAAIIIIAAAqEECC5C8XEwAggggAACCCCAAAII+AIEF74EPxFAAAEEEEAAAQQQQCCUAMFFKD4ORgABBBBAAAEEEEAAAV+A4MKX4CcCCCCAAAIIIIAAAgiEEiC4CMXHwQgggAACCCCAAAIIIOALEFz4EvxEAAEEEEAAAQQQQACBUAIEF6H4OBgBBBBAAAEEEEAAAQR8AYILX4KfCCCAAAIIIIAAAgggEEqA4CIUHwcjgAACCCCAAAIIIICAL0Bw4UvwEwEEEEAAAQQQQAABBEIJEFyE4uNgBBBAAAEEEEAAAQQQ8AUILnwJfiKAAAIIIIAAAggggEAoAYKLUHwcjAACCCCAAAIIIIAAAr4AwYUvwU8EEEAAAQQQQAABBBAIJUBwEYqPgxFAAAEEEEAAAQQQQMAXILjwJfiJAAIIIIAAAggggAACoQQILkLxcTACCCCAAAIIIIAAAgj4AgQXvgQ/EUAAAQQQQAABBBBAIJQAwUUoPg5GAAEEEEAAAQQQQAABX4DgwpfgJwIIIIAAAggggAACCIQSILgIxcfBCCCAAAIIIIAAAggg4AsQXPgS/EQAAQQQQAABBBBAAIFQAiUdHR0dfgolJSX+r/xEAAEEEEAAAQQQQAABBLIKZIQQN31+e+a/utopcx9+RwABBBBAAAEEEEAAAQSyCTAsKpsKf0MAAQQQQAABBBBAAIG8BQgu8ibjAAQQQAABBBBAAAEEEMgm8P8BzvpxduvRSF0AAAAASUVORK5CYII="></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>
<br><hr><br><div class="specification">
<p>Abhinav carries out a <em>χ</em><sup>2</sup> test at the 1 % significance level to determine whether a person’s gender impacts their chosen professional field: engineering, medicine or law.</p>
<p>He surveyed 220 people and the results are shown in the 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 the null hypothesis, H<sub>0</sub>, for this test.</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>Calculate the expected number of male engineers.</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 <em>p</em>-value for this test.</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>Abhinav rejects H<sub>0</sub>.</p>
<p>State a reason why Abhinav is incorrect in doing so.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</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>
<br><hr><br><div class="specification">
<p>The number of sick days taken by each employee in a company during a year was recorded. The data was organized in a box and whisker diagram as shown below:</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>For this data, write down</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the minimum number of sick days taken during the year.</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>the lower quartile.</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>the median.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Paul claims that this box and whisker diagram can be used to infer that the percentage of employees who took fewer than six sick days is smaller than the percentage of employees who took more than eleven sick days.</p>
<p>State whether Paul is correct. Justify your answer.</p>
<div class="marks">[2]</div>
<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 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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>
<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>
<br><hr><br><div class="specification">
<p>Anita is concerned that the construction of a new factory will have an adverse affect on the fish in a nearby lake. Before construction begins she catches fish at random, records their weight and returns them to the lake. After the construction is finished she collects a second, random sample of weights of fish from the lake. Her data is shown in the table.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Anita decides to use a t-test, at the 5% significance level, to determine if the mean weight of the fish changed after construction of the factory.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State an assumption that Anita is making, in order to use a t-test.</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>State the hypotheses for this t-test.</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 p-value for this t-test.</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>State the conclusion of this test, in context, giving a reason.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</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>
<br><hr><br><div class="specification">
<p>A game is played where two unbiased dice are rolled and the score in the game is the greater of the two numbers shown. If the two numbers are the same, then the score in the game is the number shown on one of the dice. A diagram showing the possible outcomes is given below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXIAAAFbCAYAAADIhwX3AAAgAElEQVR4Ae2dsY4UR9eGv/v49OXWitxYxBYyqYVkUhOY0CRsZiKTmcwkJjSBSY1kYiNtbrQ3sOYGdq+gf73766yKpmfmbbq65tTMU9KoZ3pqZ04/deqp6ure3f8MFAhAAAIQ6JrAf7qOnuAhAAEIQGBA5CQBBCAAgc4JIPLOG5DwPQK3bp0M//vffycfz579fP0hjx79cP3+ixe/eh+6Qq2I882bP9PEtMJh8pGVCSDyykD5uJwEQpBTMl9D5BLxgwffDZeXl7OARJyIfBa2o6+MyI8+BY4DwFiQax71+/f/3Mz8l4p8zTj57MMhgMgPpy05ki0EHJGPl1Y0U9cMXvvLn9ds+d69b25krTqxHCNxj2f98d44PNXVrD3q6/vK71H9cUza9+rV7zf1yu8efz6vj4cAIj+etj7qIw1BhjRjKyFHGUszRB51tZXEN32WhD1H5OPBYPw9imsckyRe1ovnsTwUx8L2uAgg8uNq76M92k3ydUR+585X14K+uLgYnGUTp867d3/fCDnWw0tJx76xyBWL5K26KopJx6YH5XgJIPLjbfujOvIQeQhy6uDH0owZ+enpk4+ql8shkqrqlcsnjshVXz9bDiT6khB1xFnGNDXbjxm5thocKMdJAJEfZ7sf3VEvEfnUsoVmxNpfSj2Evy+Rh/yPrnE5YH4hiBw4DgK1RV5SiyWRWN4oZ856PlWmllZilq7ZdUi5nJHrc2LGXp4BTH0++46LADPy42rvoz3aWiIvBVwua+i5pKtSilz7N0n3cy52lrIvv1+CpxwvAURutr06DaVfArVELgKaLZdLKsqN8fKLXodoN4lcwi8/Rz8zjnM8I9f36/Oinr5Dn6GLnpTjJYDIzbZH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvI1xK5/r2X/t9i/LNdM5y9Vhv/i7L4X5V7Dcr8cv2H+/hfmfp3afrHyT0W5Y2Oo6cS/7ZOfUkPtUVPRbkS/5pv07/v29fxIHKT/BoiPz19cvN/HXsSueKOeOM/yGtf9qIBqIwz+Pf2/y7jH0D3JHJJu6cBf5zLMQhpAM1YELnZKmuIXF+tBNdnhxjNcPZWTdIbz0aU5Jrd9lZ0LD3ODDUrFPOeRK54e5uBRz5rwFd+Z44fkUdr7dgi8s2A4r+6b66R8x3NbCXFnopmhIq7J5HHZEV9SELUMfQycVGcijv7EhwiN3sxIt8MSjMWiaWnoo6paxM9LatI4HFq35PIIy8kRcWvMwmx76GIs2KNZTh5YHxGmuE4ELnZCoh8M6jehCiZqD316Cn28uyhR5FHBsUsVwNT9qIzCHHX9RUVcVfeZDujQORmJiHyaVCanWScoUxH+/FeCV0dVbOt7EUxlmu0PYtcrMU9mwzHOSB5q9+P8ztjziDycetteI3IPwVTnup/+m4fe3SaLylmLiEU5eDUYyyazMcSsYl7dpErVkl7zDdjziDyyKwdW0T+MSDNDmO99uN3+noliY87ag9HcAgz8h44a1mlXNJSzFqOy5YziNzMprVErlmtPjv7VfESky4QjpcjtK+nY9DxaEaoThnrn+UxZn/ek8iVF7EsJNYSYy+5Ev0zxK1txpxB5GaPXUPkSgp9bjx6mOGqQ+p0M2Iut9nvAIlOGTFrMOpR4krZnkReXlyWxHtYUim1oHgj5xV/DEplnX0/R+RmC6jzUyAAAQhkJIDIzVZB5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDmBpiKXDHnAgBwgB8iBT3Ngif2binxJoPv+WSUeBQIQgEBGAojcbBVEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRI7ITVBUgwAEmhNA5Cby2iL/8OHf4enTn4b797+9eei19mcvZ2dnw+PHP97ErWN4+fK34erqKnvow9u3fw0PH35/E7uev379R/q4FaDiLPNFbaC2yF6UF8qPMvZecn2qn2bM9YMQ+bNnPw937nw1vHnz52o5XVPk6pAnJ19M/ts77c8sFnVAsZh63L795XB+fr5aGyz5YMlEIpmKW/vu3v067UAkpmK7KXYJPWvRwLkp13U8mXP9+fNfNjLXMWXK9e5Ffnr65AZ2DyJXYm/qkOV+1ctWtiV2xK4Ez3hWsU3iEbtknq1oANomwog9o8wluohv2zajzDXr3haz3ssk8+5Fro73/v0/19B7EPm2mVWZOKqXqUjOZXzbnmeTikSxLd7yPXXgTEUsy/i2Pc+2zOLmuoSYaVnOHTzVFpogZCiI3GwFNdrSoo62rSOO38vUMZ3ZeBl/po6pdfAytm3Ps83Kndl4HI+WvbIUdzYesWealTuz8Yhb2wxnoIjczHw12NIyV4aqn6U4SxNlcmcahObIsEY712qzuTLMMjvU8c85CxLzTLk+t59myHVEbva6Gh18boJkSu6eRV4OMM5zMyVWr4bIV0c8+QVz+ykin8Q4f2cva+Tuhc6QTaYLntvuVol4y22G083IpDmDULZrEyXTXc8zXZuQ3HbFW76f6drEXJFrwN13YUZutoCSbmmZcxEl2wWgOR0z0ym+2mzOmmemdWbFPmd9P9M6s2Kfs6SVaeCfc2E/y8CPyE071xC5vsod7TMtqwQid2ab4VQzYtZWA6hzB0W2wVOxu8sr2S7SKnZ3AM02eCp29ww0y1nzQYj83bu/r0/jXr36XW2wSqklcgW365ayTKfIJUwJUcIoT4nHz7PNCiN+CXHbDFHvZThFjnjL7a4Lh2qTTHcJlbHvEmLmXN81ccm0HNS9yF+8+PUjsei3PNcoNUWu+DSSj6Wo11lG+G0MdbYwnuFqCSDbTHx8DJKdxFEKXc+1L9Op/ThuvdYgM15mURuoLbJKPI5DeTGWonI966AfcWurGHvI9e5FXkJf83ltka8ZK58NAQgcFwFEbrY3IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRI7ITVBUgwAEmhNA5CZyRG6CohoEINCcACI3kSNyExTVIACB5gQQuYkckZugqAYBCDQngMhN5IjcBEU1CECgOQFEbiJH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRF5b5G/f/jU8fPj9oM+Nx/373w7an728fv3HcPfu1zdxK34dy/n5eerQr66uhufPfxlu3/7yJvaTky+Gx49/HPRe5vLhw7/XcSreyBcdh44ne+xnZ2ef5LryR3mUvWzKdR1TptK9yJ89+/kmsR88+G64uLhYha86T60icURnnNrq/YxFwhgLfBx/1s6pQaaU4DhuvZd1IBLTbbGrTbLK/OnTn7rMdfW/8URrnDOZcr1rkb948eugh8r79/8Md+58Ndy7980qDlQj1iiaQY0TYuq16mUruxI7jiPbbEWSK2fhEed4K1lmE6IGl3GcU691Npet6OxyKtbxPsk+W9k1AMUxZDmD7lrkmo2XRVIX4Hfv/i53V3muz11aJIltM6tIDm2zSUVyLuPb9jybVF6+/M2OPZtU3MFT7ZFFKtFPnMEz8khLR1mKYom4dm11jBlK1yIfA9SsXOCzitydoUTyZOqY7gwlYs/UMTWwRFy7tlk6ZuT2rnjL9zMtyc0Z+HUMGmyzFPesOdhnWJI7KJG/evX79fLKGgmhRlta5iZIpuWVOTIUq0zLK9Hh3O3Sdq7183NlmOlMaM5ZkNolU67P7acZcv2gRP7o0Q+DZL5GUbItLXMTJFNy9yxydzkrRL+0nWv9vLs+HnFnErkuBEZczjZTrs/tp4i8VsYPw/VyikS+VlEyLi1zZ1gZEiSOeW5yZ7poOGcQ0h0gmcqcQSjT0srcQSjTHSBzzyYyLCMexIz88vJyWFPi6tg1RK7PcS8AZVurnXMBSBfoMpU5s8NMa7ViuOtW1XK2m2ngn5Pr2S7sz7kpIctZUPcibyFxJWUtkbsXPDNd6AwpOxc81SkzzFAi5tjuuv9d7ZttNq7YXalkmo0Hc/cMNNNsPGJ3z0AzXOhUzN2L/PT0ySCZlyXuLS/3LX1eS+SKY9cMMWNiB79tMpfEsyR2xBtbCXHbEkvmX6oR021nchklHtyVy9uWh7KdAUXc2u7K9UyTrW5FLnnrl3/KU8t4vsYFz5oiV5Jo1qpEkVziodcZZ7Nlcuu5ZlqSR8StrTpkpnXxcczxWmLR0k/ErueZB86IW2zFOOLWVm2QbTkl4i23U7mu2HvNdc3Ws+V6tyIvE6XF89oibxEz3wEBCBwHAURutjMiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRI7ITVBUgwAEmhNA5CZyRG6CohoEINCcACI3kSNyExTVIACB5gQQuYkckZugqAYBCDQngMhN5IjcBEU1CECgOQFEbiJH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDmBVUT+4sWvw4MH3w337n1zfUBv3vzZ/MBqfyEir02Uz4MABGoRqCryy8vLa3lLevHQvjt3vroWe62g9/E5iHwf1PlOCEDAIVBV5JqJS3iPHv0wxHOJXLNz7X/16ncnppR1EHnKZiEoCEBgGIaqItdSSrmcIvlJ5BcXF9cif/bs526hI/Jum47AIXDwBKqLXMsokrfWxUPk7979jcgPPpU4QAhAYF8Eqoo8llMkcy2vSOSnp0+GW7dOrp+/f//Pvo5z8fcyI1+MkA+AAARWIlBV5IpR4pb0xg9JvueCyHtuPWKHwGETqC5y4dJSisStNXFte56JR/Mj8iDBFgIQyEZgsch1IVPr4XFRU883PVSn14LIe2054obA4RNYLHLNuiU5yTue6/XUQ3V6LYi815YjbggcPoHFItfSiW45jOWUuAVxaqs6vZa1RH52djbEoyc2V1dXN3Gfn5/3FPrw4cO/N7HreU9FrCNf1AY9lYhb255iL3NdsWcsi0W+74MqzwL0i0drLd/UFLkS4/nzX4aTky8+OnPRa+3PnOSK7fHjHz+KW2xu3/5yeP36j32nw9bvlwTv3//2k9jv3v36Wo5bf3jPb759+9c1Y7EuHzqe7IPRVK7rGJ4+/anLXI9+uueU+Ojruxa5zgZiuUYXVHXbo+6aWaMo8WoUiVDiKDvj+LnezyhziXA8+Ixjl+QzFg0y41jHr7MORBLeONbytdok61nRw4ffb409a647/TRTri8WeVzs3HSBs9y/1mw5xCGJ6/71NYo6To2yq1NGB1W9bGXXABSxZxOiZqy7BqCIPdvsVjPxiG3bVmdE2QZ/zcS3xRzvSfbZytSZW8RbbnWMGcpikZdLG+UBTj2P2fNaB66llbXW4XU8S4skMcVl075MUnFmtHEckkqm4g6eij/TLEsM3cFTsWcaQDWouIOnYs90RqFYIpd3bXWMGcpikcfFzri4Gb/FGa+13CEYer2WZDXT10x8rWUVNZSOYWmZI0N9X6aOObUuvi3JMw1Cc2SYpWNGrm1jPH4v08xWFwXH8W17nWVmK+7umUQcT4YLoItFHgmnrf66oUQ+FnbIfo2lFX1mANVWZwhrFH320jI3QTIlt3uqGW2RIbmjvSImdxs/t+/tXBmqjbKUnnN9buwZcr2qyMt/JlEmVMhWQl+raNkm/lyu1u1rlxoif/nyt48GnV1iUf0sZddFq/GxZEjuYKelnnF8217Hz+17O3cpLpPI3bX9aIdMk5ajF7mWT9QwUzNy7V9rthwdTjLX96zxJwH0uUvLnLU3fV+mdcM5g1C25Yk5g1AmGSrf5gxCmS6Qzx2EJP4sZe4SaIaLzFVn5JpxS0B6jNfIteSyxky5bHwJXN+zRqkhcsXlLlFkE8qci1eZhCLmc5YoMl2XUOxzZoeZrkvMyfVsF8fn5HqWi+NVRa7G06w7LniG1HXBc41Zsr6vLFpaWWv5ppbINcvedTVf72eajQdjZ6aS9b5g52Jtlk4ZvGPrXKzNtAwXcWtg2ZXr6leZluEidmdpSMeWYTaumKuLPEDE/ePjZZZ4v8Y21sSVDDoDWPNfydUSuY5bkt50yqz9GSUe7SWZb+qcOovIktgRb7nddhtitrOIMm4x3bQ8pLbIdhZRxq5c3jQQKdczSjzil8w35bqOKdMZ0GoiDxiHsq0p8mCiDqhTZwlQ28wdMmLWVmJRrJKfBKPYM3fIMnZ1Ps1eNfvWQ7Fn6pBlrOPnkqLiFXPFruPIPHCW8UuKil25rrzpMdejn2Zazw/GiDxI7NiuIfIdX8nbEIAABCwCiNzCVOcXgsyvohoEIACBWQQQuYmLGbkJimoQgEBzAotFnumPZq1JD5GvSZfPhgAElhBYLPJMfzRrCYhdP4vIdxHifQhAYF8EFos8/o5K/AJQ3EMer1v80awW8BB5C8p8BwQg8DkEFou8/NJ9/NGs8vvXfI7I16TLZ0MAAksIVBX5Pv9o1hIIzs8icocSdSAAgX0QqCpyLadIeOPf5oy/wbL2H81aEyAiX5Munw0BCCwhUFXkIWxJb7xG3uKPZi0BsetnEfkuQrwPAQjsi0BVkesg9vlHs9aEiMjXpMtnQwACSwhUF3kE0+KPZsV3tdgi8haU+Q4IQOBzCKwi8pD4eLvGv3r7nIP+nJ9B5J9DjZ+BAARaEKgq8vjHDpLe1ENi77Ug8l5bjrghcPgEqopc/8lewtMvAcXFznI7vpulJ7yIvKfWIlYIHBeBqiKXtCXxnpdQNjU/It9Ehv0QgMC+CVQVefy6/r4Pao3vR+RrUOUzIQCBGgSqilxr5JqVa4llfKFTr3ueqSPyGunGZ0AAAmsQqCryXX8JkYudazQhnwkBCBw7gaoij6WV8gJn+ZyLnceebhw/BCCwBoGqIl8jwCyfydJKlpYgDghAYExgFZFrZh5/CTHWy8df3NtrRN5bixEvBI6HQHWRn54+mfxlIMm954LIe249YofAYROoKnLJWsLTbFz/ZEIXN7Uv/kuQ7mrptSDyXluOuCFw+ASqilwCn/qFIF3klAh7npUj8sPvDBwhBHolUFXkcYfKGIbuH5cI+ccSYzK8hgAEILCcQFWRx/q4llXKsml/WSf7c2bk2VuI+CBwvASqivzi4mLQfwKS9GJ2Huvj2vZcEHnPrUfsEDhsAlVFLlS6oBnylvz00Np5zxc6dVyI/LA7AkcHgZ4JVBd5wNAFTt210rvA43gQeZBgCwEIZCOwmsizHejSeBD5UoL8PAQgsBaB6iLXHSrlxU7NzHW3Ss9/+VDwEflaKcjnQgACSwlUFbkudmp9vLywGb8kpIufPRdE3nPrETsEDptAVZHHbYb6+ypRJPf4F3D8QlBQYQsBCECgHoGqIo9bDsfh8QtBYyL///r8/Hx4/vyXm4de91Levv3rJu6XL38bPnz4t4vQr66uhtev/7iJXc+1r4cixmIdOaM26KUot8vYe8r1s7OzG+ZZc72qyHWboe4jH9+pEssra8/INZCs9dujNZdW1CHv3//2et1dn1s+tD+zFJXUt29/+VHMEf/jxz+mlqI64cnJF5/Ern2SY+by9OlPn8Qt7mqLzELXILkp1+/e/XrILHTFtinXHz78PlWuVxW5LnJGp47ZedxTLsGvecEzBovsIpekp2QS3LTV+xllLmGUcU49V+fMWCTqqXjLfRqIMpZNIixj15lFtiKJKx/KOMfPlesZZa6YdvVTHVuWs7mqIlciSajx253RaJL5eJZeM+m0Dq/1eX1vdpE7nVLcVC9TUcLuSuxo72yzW51FRGy7tqqbqUjQu2LW+xkHfw2MTuwZB/9NM/Hx8WQZ/KuLPDqBfhlIjxb/3k0XUzXbzy5yjfLjRNj2OtNMxRWKjkdSyVRcoSh2nTJnKq5QFLuWjrIUnVFuy+3xe5kGUOfMs4w/w6x8FZFrVq718rjlUEJfq+i74vOzi1wdrUyAXc8zdUwJble85fuZBqE5MtQxZCkSRMl01/NMZ3FzzoJ0XJnO4pxluLItMgxCVUWuWbHkXR6k9mlpRWKvXbRcoyWVKNlFPjdBMiW3uyQUbZ8huSMvIiZ3Gz+37+1cGWYSec+5Pjf2DLleVeRxwVFLHfFcIpfE1YnK3/is0UnGg0N2kfc8I5+zPKG2zjQj33XBrRR8pmUhZuQ1LDH/M45e5HGnitBpuUMdRCLXxUg9r3khMj6/7ITl89oXV/XZS8vcdcNMd67MWSPXUkamMmcQyrZGPmcQyrQUN3cQyjTwz1kjzzLwV52RS+RaRpG8Q7R6Hv/qrabIp0SRfUaumN215mxCUezuWnOmJSHFPWcAzXCaXOa2O4BKKBkuupWxb7r3vZxw6XmmJaGI3x1As+R6VZHHcopkHr+WH7cFqsFqz5IDemx7ELk6264k0fvZOqUYa9YkYYw7Yvk6y+1YkROxdYSYaUYbcWvrnFFkG4AUt5PryqdMZ57B3cl19dMsparIdVDx91bKzq3nkvzapQeRi4ESfFPn1P6MEo+2U4JPXfhUh8wyO4lYx1udMk+dVWif3stcxHZqEJVMMi1LjBkqlzfNzJVHmXNdA8xUrstnOqZMsVcXuRpSSykSt5ZStF17Jj5OnjVeq/FqFyWKBKJOqm3GmcmmY5Y8NMtV7JoNZkrqTTHHfsWr2bceGWeyEed4K8aKV8zFPrPAp2KPXFfsPeW6Yo1c1zFkzPVVRB6NqHVyPQ6hrCHyQ+DCMUAAAvsnUEXk8SvysXyiGbjWySU/PbTk0fusHJHvP1mJAAIQmCawWOS6K0WilujirpS4b1z74xeE9Fx1ey2IvNeWI24IHD6BxSKXvCU53aWimXncaqh98QtAcQdLvO4RKyLvsdWIGQLHQWCxyGPGLYmrhNg1A48S95THjD3297RF5D21FrFC4LgIVBN5LJuE2DULj4LIgwRbCEAAAvUJLBZ5LJtI1uWySlz4VMhRp9xX/1DW/URm5Ovy5dMhAIHPJ7BY5DHblujioTtWVLTcUl74jFn754e7v59E5PtjzzdDAALbCSwWuT5eM+243VDijlsNtZUAtV7e82xcx4jItycS70IAAvsjUEXkEf7UjFsCjwuhUa/HLSLvsdWIGQLHQaCqyA8ZGSI/5Nbl2CDQNwFEbrYfIjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRI7ITVBUgwAEmhNA5CZyRG6CohoEINCcACI3kSNyExTVIACB5gQQuYkckZugqAYBCDQngMhN5IjcBEU1CECgOQFEbiJH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIq8t8qurq+Hly9+Ghw+/H+7f//Z6q9fan718+PDv8Pz5L9dxR+yvX/+RPezr+M7OzoanT3+6iea2upIAAAmkSURBVP3x4x8H7euhiLHiFXM9dBxqi+xFOa3YI9cVe0+5rliDuY4hY64fhMgfPfphkGjj8f79P9Vzu6bI3779azg5+eIm3ohbW+3X+1mLBF7GWz6/e/fr4fz8PGXokokkWMZbPlcHzTqIKi6xLeMtn0voWYvyYVuuZ5RisFRsm2K/ffvLVLnevcglbYl87aKOU6No9ld2wk3PM84SNTPZFG/sV+JnFKJEHTFu2kqW2couicexZJT5NolH3NpmnLhI4mWMU8+V61nOiLoXuSS+xgx83KHVkDWKRvKppBjvU71MRQk7jnHTa818MxWJYlOs4/3ZZojbzoDGsWeRSrS9liPGMU69lhAzFQ2em2bi4/h1jBlK1yKXwAPsrVsnw7NnPw9v3vy5Cld9z9LizsbjmDLNyp3ZeMRdg9VS1uXPO7PxiD3brNwViuLPNCvXbDyYOttMs3JnNl4eU4YBtGuRR2eVvCXxe/e+Ge7c+Sp2V92q4ZaWObMrfZ/qZylzZKjYMw1Cc2RYo51rtdmcsyDFnWV2qOOfcxaULdfn9tMMuX4QIo+OI6ErKd69+zt2VdvW6OBzEySTyN3TZHHSI0NyR+NHTO42fm7fWzF0Y1a9TCKfewaXKdfn9tMMuX5QIlfH0xLLGssr6ihLy9xTtkzrtTptnyOVDKeb0V7b7vgYH1O2axPj+La91llTljJ3EJL4s5S5Is9wp9bBiVzLK1lFroso2zri+L1Md3/M6ZjZZDinY2a7UDvnTCjTwC8pz1nSyjTwz1nfz5LrBydyzcjXKJJsjeJKRfWyFVcqmS5ciaF7F4LEk0koit0dQLNdpFXsbq5nukgbfc69JpRl8Oxa5K9e/X5z6+Hl5eXw4MF3g/atUWqJXLFt+8UUfU+2WWHwlBB3LVNkSeyIOba77mmWxLMNQBG7mI7P1srXmhVmOL2PeMvtrlxXPmU684zYnVzP1E+7FrnuVImElsTXWFKJhtX31CxaE1QHjPi11etMa4VTx6sE10xrfNqsDpnhos9UzLFPs+0psWj2lVWEEbvYjs+I1AY6nowijLi11UA0lesZzzrLuLflerZBv2uRl9DXfl5b5BGv5KJOmu2UPuLbtpX8FHt2kUwdg+LWo7ci1oo7+8AzxbXnXI/Ys+Y6Ip/KuIl9a4l84qvYBQEIQGAWAURu4kLkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByEzkiN0FRDQIQaE4AkZvIEbkJimoQgEBzAojcRI7ITVBUgwAEmhNA5CZyRG6CohoEINCcACI3kSNyExTVIACB5gQQuYkckZugqAYBCDQngMhN5IjcBEU1CECgOQFEbiJH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRG4iR+QmKKpBAALNCSByE3ltkZ+dnQ0PH34/nJx8MeiztdVr7c9eXr/+Y7h//9vruBX77dtfDo8f/zh8+PBv6tCvrq6Gly9/G+7e/fomdj1//vyXQe9lLorv6dOfrlmLuR5qA7VF9nJ+fn6dHz3mevTTYJ411w9G5O/f/zM8evTDdYJrW7uoIWsVdchIjKmtxJKxSCYabKZi1j511KxiUeylwMfHoA4q4WQsiiskOI5bryX0rAOR8mEq5tinCUDWotgizqltplw/CJG/ePHrNXAJ/OLiYpW8UEPWKLsSOxImU5LEce9K7Ig9oxC3STzilsyzCVFnOdskHrFL5tnK27d/bRVhxJ5x4rJrshWxZzmD7l7kr179fp0skvmaRQ23tEgSTqfUd6lepiI5R/Lu2maTipZTdsUc72eTijt4Kv4sUom81cAYXHdtMw2gGjx3xRvv6xgzlK5Ffnl5Ody6dTKcnj5ZnaUabmlxZyiRJKqfpUhwEZezzdQxNbA4MatOlo4Z7e7GrXqZlik0qMyJPdMZ6JyBX8eY4Qy0a5HHksqzZz9fC11Q11gfV6fSZy8tc2WYaXY4R4ZilWl2qHjmPJa2c62fn3MWpOPLdCbkLiFGu2TK9bn9NEOudy3yBw++G+7c+WrQhU6VUuy1OlN8jhJuaZmbIJmSG5Evbf35P4/I5zOr8RNz+ykiX0j93r1vPpmBh9wXfvQnP15D5CytfIK1yY45gxBLK3WaZO4gxNLKMu7dz8gl7rLEMku5r8bzGiJXHFzsrNEa8z5jzml+prMgHeUxXOxUn8h0TWXOxU7dDZWhdC1yLaXoYmdZdOFzLPfy/c99XkvkrlQyzVCCmXNLljplhos/EXNsD/32Q93fn624Z6DZBk9xdJdXMiyrKN6uRa67VrRGHhc4tVYusb9793f1nK4lcgW266p4RokH0G0zREk80502EbO2mvFtk7mWVDIOQIpdcW07k9PSUaYZbcl918RFk4OsZVeuZ+qnXYtcCaBfANJauUQrqeu+8jVKTZErPo3kShQJRJ+trV5nGeG3MZSsyz8vIEGqQ2b/FX0dkwbRcs1csWtfVhFGOyg+zRLLwUjHkUkmEet4q7woc12DUi9/jkL9scz16KfZcr17kY+TZq3XtUW+Vpx8LgQgcHwEELnZ5ojcBEU1CECgOQFEbiJH5CYoqkEAAs0JIHITOSI3QVENAhBoTgCRm8gRuQmKahCAQHMCiNxEjshNUFSDAASaE0DkJnJEboKiGgQg0JwAIjeRI3ITFNUgAIHmBBC5iRyRm6CoBgEINCeAyE3kiNwERTUIQKA5AURuIkfkJiiqQQACzQkgchM5IjdBUQ0CEGhOAJGbyBG5CYpqEIBAcwKI3ESOyE1QVIMABJoTQOQmckRugqIaBCDQnAAiN5EjchMU1SAAgeYEELmJHJGboKgGAQg0J4DITeSI3ARFNQhAoDkBRN4cOV8IAQhAoC4BRF6XJ58GAQhAoDkBRN4cOV8IAQhAoC4BRF6XJ58GAQhAoDkBRN4cOV8IAQhAoC6B/wO1HRePPTc/NAAAAABJRU5ErkJggg=="></p>
<p>Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math> be the random variable “the score in a game”.</p>
</div>
<div class="specification">
<p>Find the probability that</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the table to show the probability distribution of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math>.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApgAAABFCAYAAADuDpYRAAAN8ElEQVR4Ae3d0Y3b1hLG8fRxkeeLBG4g8NtFXuIK4griCuIK4g7iCuIK4gpiIO8x3MB2sB3o4nMwC4rkrA6pOXM40p+AQIl7eIb8zdHRiNy1vzmxIIAAAggggAACCCAQKPBNYF90hQACCCCAAAIIIIDA6azA/Pbb/5x4YMAYYAwwBhgDjAHGAGOAMdA6Btbq6UWBudaIbX0FlECWXAHMc70tGu4mkbvGPddb0TDPN8f9WOYUmGPycRaVieiMI+UF5inMiyC4L0hSNuCewnwWBPMzjrQXuKdRPwXyzCkwn4jGPfGSM+6Ibj8y5mNyjDvuYwTyozLW880VEfd8d8+cAjM/F4uIXnIWDdkQJoB5GOWmjnDfxBXWGPcwyuaOMG+mCm2IeyhnU2eeOQVmE1/fRl5y+ka9794xH5N/3HEfI5AflbGeb66IuOe7e+YUmPm5WET0krNoyIYwAczDKDd1hPsmrrDGuIdRNneEeTNVaEPcQzmbOvPMKTCb+Po28pLTN+p99475mPzjjvsYgfyojPV8c0XEPd/dM6fAzM/FIqKXnEVDNoQJYB5Guakj3DdxhTXGPYyyuSPMm6lCG+IeytnUmWdOgdnE17eRl5y+Ue+7d8zH5B933McI5EdlrOebKyLu+e6eOQVmfi4WEb3kLBqyIUwA8zDKTR3hvokrrDHuYZTNHWHeTBXaEPdQzqbOPHMKzCa+vo285PSNel3vHz/+eXrz5pfTq1c/XdfRoL0rmr9799vXb+c69tevfz49PDwM0tsftpr758//fB3jOu4XL74/ffjwx/6TH7hnNfcplcZ9xXmmqvnLlz88zTN6Xm2p6v74+HiyOV5zTaXFM6fAPEAWveQc4NBWD0GFjY5Zj4oTv06qmvn797+f9NCiokcTf0X7Su6a8N++/fXpPaDnOn4K+yeS7k8+ffqr7DxTaaxbIqfzjG2rtq7orjldRaUuHOjiTbXFM7+pAlMfCEpQtcVLztHPgyuYeRnSN9vpog8CjRt9AFdaqo51GdsXK30YVFuqums+rzrPVDSv+KV1/l6s5q55RcWlxnnVxTO/mQLTbmVNrzhUSZaXnKMff9WJX65VzW1MaLzrHCgwTaT/WtYVv8BWHe/6UiXzqvNMtTnGvrTquFVoyp+r9f3nFVlXL+y9sX4TBab93oJOstrvLlSd/HXcVSf+yuY23el3Afn9KNPovzbvih+4Fce7Cku7al91nvE+dPuP1usiqNCUfdWrapXc7UKBjXEdu77EVptnPPObKDCVDJ1gxeKy4uRv05e9Kex1pbX3hqhyDrKv+AcnFd2nX2BV1Feb/DWmq7lPrxRXnWeqmc/nPisy59uP/rqSu101trlcBafqmGpXND3zmygwLUkVb49XnPxtgqk68Vc217HbbUPLQ6W1NxFVOAf7wK04z1Ryl68+aG2pOs9UMjfr6VrzjM5Bf9tQaankbnPK1NfqmUpfZD3zmygw9W1XJ1jxr680sLzkTAfdEZ9Xnfgrm2uyl3vVpepYN29dWajoX8Vd41vH6j304VtlqWLueVouKDA9oeu3azzP77yqjtHYmX7Juj5S3x68sV6+wKx+e1xp95LTd0hc3zsF5vWGW3qoXlzqXKuOdcuTxnylIseOu7J71XmmsrnGja5gTn9VwcbS0deV3O0qsda26Hb5vOi0nx117ZmXLzDtcrJuq1Sc+DVgvOQcdTDZcWnyqfiHJlXNNcbnVxOqjfmqY11jRlcWNN7nObD3w5HXld0pMHNGluYSG9u6eqar9ZVu05pStbGuz1FZy14PPb+Vef1mCkwlqeKbQW+Kam8IHbO+Yem47WETk73Jj76uZG6TjllP1/bL4Uf3tuOr5G5XF8x7rcC38zr6upL73JICcy7S57U+Q22sy5zP0z7Oa71O7asVlzofb34pX2CuJavaNi851c6j0vFiPiZbuOM+RiA/KmM931wRcc9398wpMPNzsYjoJWfRkA1hApiHUW7qCPdNXGGNcQ+jbO4I82aq0Ia4h3I2deaZU2A28fVt5CWnb9T77h3zMfnHHfcxAvlRGev55oqIe767Z06BmZ+LRUQvOYuGbAgTwDyMclNHuG/iCmuMexhlc0eYN1OFNsQ9lLOpM8+cArOJr28jLzl9o95375iPyT/uuI8RyI/KWM83V0Tc8909cwrM/FwsInrJWTRkQ5gA5mGUmzrCfRNXWGPcwyibO8K8mSq0Ie6hnE2deeYUmE18fRt5yekb9b57x3xM/nHHfYxAflTGer65IuKe7+6ZU2Dm52IR0UvOoiEbwgQwD6Pc1BHum7jCGuMeRtncEebNVKENcQ/lbOrMM6fAbOLr28hLTt+o99075mPyjzvuYwTyozLW880VEfd8d898UWCqIQ8MGAOMAcYAY4AxwBhgDDAGWsbAWlm7KDDXGrGtr4CSx5IrgHmut0XD3SRy17jneisa5vnmuB/LnAJzTD7OojIRnXGkvMA8hXkRBPcFScoG3FOYz4JgfsaR9gL3NOqnQJ45BeYT0bgnXnLGHdHtR8Z8TI5xx32MQH5Uxnq+uSLinu/umVNg5udiEdFLzqIhG8IEMA+j3NQR7pu4whrjHkbZ3BHmzVShDXEP5WzqzDOnwGzi69vIS07fqPfdO+Zj8o877mME8qMy1vPNFRH3fHfPnAIzPxeLiF5yFg3ZECaAeRjlpo5w38QV1hj3MMrmjjBvpgptiHsoZ1NnnjkFZhNf30ZecvpGve/eMR+Tf9xxHyOQH5Wxnm+uiLjnu3vmFJj5uVhE9JKzaMiGMAHMwyg3dYT7Jq6wxriHUTZ3hHkzVWhD3EM5mzrzzCkwm/j6NvKS0zfqffeO+Zj84477GIH8qIz1fHNFxD3f3TM/bIH55s0vp48f/8yXmkXUcXz+/M9sa+xLLzmxUehtKoD5VCPvOe551tNIuE81cp5jnuM8j4L7XKT/a8+8e4H5/v3vX79R6ADmj7dvfz09PDycnf3j4+Pp1aufTtpvurx8+cNi/2l/r1//PG0e9lxF7osX358+fforrM95R15y5u14HSeAeZzllp5w36IV1xb3OMvWnjBvlYpth3usZ0tvnnn3AlMHpyuAOgA9VFCqiFRBqNcq3vTaFm2fF5faR+1suxWb79799tSX/cz6iVyruJwfZ2T/XnIiY9DXuQDm5x5Zr3DPkj6Pg/u5R8YrzDOUlzFwX5r03uKZpxSYKhB1AHrYFctp0fnhwx9fz19XC1U8zhf93K4gTvezbdrPns/33ftacXSF1RY9V0HbY/GS0yMWff4rgPmYkYA77mME8qMy1vPNFRH3fHfP/FAFpq5eTou6NSZdqdTJrBWia+33bFNBqyuWVviqD9u2p79L+3jJubQfP98vgPl+u2v2xP0avf374r7fbu+emO+Vu24/3K/z27O3Zz6kwJzeIlehaLfIp7fBvZO0W+uXCtG///779Nzjy5cvqyGsf4HpuS125TT6Sqn695JjsVnHC2Aeb9rSI+4tSvFtcI83vdQj5peE+vwc9z6uz/XqmacXmDoQe+iWs90yV5Gp7c/9LuX0VvulvzD/7rv/PsWxeNP1jz/+b9VLVyrVblpcqqEd3/Sq5moHOzYqHkuuAOa53hYNd5PIXeOe661omOeb434s8/QC0wrKOYMVcM8VmFb86UrnpeW5q5f6mXcFU/8skSaGeSFpxzfffuk4Wn7ORNSiFNsG81jP1t5wb5WKbYd7rGdLb5i3KMW3wT3e9FKPnvlhCkydwKVb5LotrhO5dHtcfe0tMHUMeqignC529ZRb5FOVus+9N0TdM6px5LiPyRPu+e6Y55srIu757p75oQpMXT18rnhU4acTabmKuOcWuV0hnd8eV7r0M8XvsXjJ6RGLPv8VwHzMSMAd9zEC+VEZ6/nmioh7vrtnnlJg2h/I6CD03FvsHzVf+7n99bj6aLmKuOcK5vT2+PxWvQrf54rftWNu3eYlp3V/2m0XwHy7WcQeuEcobu8D9+1m1+6B+bWC+/bHfZ/bNXt55t0LzGlhqIPQ47lCTVcP58WdXbm0/bW+9Ec+e7CswNR6uuj2+Npt82mba57rfFhyBTDP9bZouJtE7hr3XG9FwzzfHPdjmXcvMLeern73Uf9VZK9/1Hzr8aiQ1T+l1KOgtWNhIjKJvDXmedbTSLhPNfKe455nbZEwN4ncNe653ormmR+uwDQaXUXsWdRZnEtrXVF97rb+pf1bfu4lp2Vf2uwTwHyf27V74X6t4L79cd/nds1emF+jt39f3Pfb7d3TMz9sgbn3RCvu5yWn4rlUOWbMx2QKd9zHCORHZaznmysi7vnunjkFZn4uFhG95CwasiFMAPMwyk0d4b6JK6wx7mGUzR1h3kwV2hD3UM6mzjxzCswmvr6NvOT0jXrfvWM+Jv+44z5GID8qYz3fXBFxz3f3zCkw83OxiOglZ9GQDWECmIdRbuoI901cYY1xD6Ns7gjzZqrQhriHcjZ15plTYDbx9W3kJadv1PvuHfMx+ccd9zEC+VEZ6/nmioh7vrtnToGZn4tFRC85i4ZsCBPAPIxyU0e4b+IKa4x7GGVzR5g3U4U2xD2Us6kzz5wCs4mvbyMvOX2j3nfvmI/JP+64jxHIj8pYzzdXRNzz3T3zRYGphjwwYAwwBhgDjAHGAGOAMcAYaBkDa2XtWYG51oBtCCCAAAIIIIAAAghsEaDA3KJFWwQQQAABBBBAAIGLAhSYF4logAACCCCAAAIIILBFgAJzixZtEUAAAQQQQAABBC4K/B9jcWGQaQddCAAAAABJRU5ErkJggg=="></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>a player scores at least <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math> in a game.</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>a player scores <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math>, given that they scored at least <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math>.</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>Find the expected score of a game.</p>
<div class="marks">[2]</div>
<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="f\left( x \right) = {x^3} - 2{x^2} + ax + 6">
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mrow>
<msup>
<mi>x</mi>
<mn>3</mn>
</msup>
</mrow>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mrow>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
</mrow>
<mo>+</mo>
<mi>a</mi>
<mi>x</mi>
<mo>+</mo>
<mn>6</mn>
</math></span>. Part of the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> is shown in the following diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> crosses the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>-axis at the point P. The line <em>L</em> is tangent to the graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> at P.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the coordinates of P.</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="f'\left( x \right)">
<msup>
<mi>f</mi>
<mo>′</mo>
</msup>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
</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>Hence, find the equation of <em>L</em> in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f">
<mi>f</mi>
</math></span> has a local minimum at the point Q. The line <em>L</em> passes through Q.</p>
<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">[8]</div>
<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>
<br><hr><br><div class="specification">
<p>The Malthouse Charity Run is a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math> kilometre race. The time taken for each runner to complete the race was recorded. The data was found to be normally distributed with a mean time of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>28</mn></math> minutes and a standard deviation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math> minutes.</p>
<p>A runner who completed the race is chosen at random.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the runner completed the race in more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>28</mn></math> minutes.</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>Calculate the probability that the runner completed the race in less than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>26</mn></math> minutes.</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>It is known that <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo>%</mo></math> of the runners took more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>28</mn></math> minutes and less than <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> minutes to complete the race.</p>
<p>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">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In an effort to study the level of intelligence of students entering college, a psychologist collected data from 4000 students who were given a standard test. The predictive norms for this particular test were computed from a very large population of scores having a normal distribution with mean 100 and standard deviation of 10. The psychologist wishes to determine whether the 4000 test scores he obtained also came from a normal distribution with mean 100 and standard deviation 10. He prepared the following table (expected frequencies are rounded to the nearest integer):</p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Copy and complete the table, showing how you arrived at your answers.</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>Test the hypothesis at the 5% level of significance.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p>A polygraph test is used to determine whether people are telling the truth or not, but it is not completely accurate. When a person tells the truth, they have a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo>%</mo></math> chance of failing the test. Each test outcome is independent of any previous test outcome.</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math> people take a polygraph test and all <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math> tell the truth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the expected number of people who will pass this polygraph 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>Calculate the probability that exactly <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> people will fail this polygraph test.</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 the probability that fewer than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math> people will pass this polygraph test.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</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>On the following diagram, shade the region representing the probability that the price of a kilogram of tomatoes, chosen at random, will be higher than 3.22 euro.</p>
<p><img src="data:image/png;base64,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"></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 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>
<br><hr><br><div class="question">
<p>Consider <em>f</em>(<em>x</em>), <em>g</em>(<em>x</em>) and <em>h</em>(<em>x</em>), for x∈<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{R}">
<mrow>
<mi mathvariant="double-struck">R</mi>
</mrow>
</math></span> where <em>h</em>(<em>x</em>) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {f \circ g} \right)">
<mrow>
<mo>(</mo>
<mrow>
<mi>f</mi>
<mo>∘</mo>
<mi>g</mi>
</mrow>
<mo>)</mo>
</mrow>
</math></span>(<em>x</em>).</p>
<p>Given that <em>g</em>(3) = 7 , <em>g′</em> (3) = 4 and <em>f ′ </em>(7) = −5 , find the gradient of the normal to the curve of <em>h</em> at <em>x</em> = 3.</p>
</div>
<br><hr><br><div class="specification">
<p>At Springfield University, the weights, in <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>kg</mtext></math>, of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math> chinchilla rabbits and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math> sable rabbits were recorded. The aim was to find out whether chinchilla rabbits are generally heavier than sable rabbits. The results obtained are summarized in the following table.</p>
<p style="text-align: center;"><img 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7KYA3Dr3t7D1fq+glUcMZ7WnCijjlu3yNNYt1qYWrIVnOg7ihWOzVdyYGasYm3lXq5X4oLP3J/47cj9bKzEHozY4cq14QhG56xiPVqvtNfKGb/t3TPWpSZ1z9gjvpN0gIYkN6+N3+xGeASu0lEMZAYoeOTpyiDHzW/yPl4zB2re8CvYzl5bWM9huHh9bV4r/q8df7y/cw5cvkm1I4fkfM0c2ueka2ktBv7vr17+xWaWD3I6/2WPxpXmd0b3nYvTLIfPWFe8nsNy8fp4XovTx3OKxuL1ObxevkmFBg5uDmmSgovnalDPSZDS+nkZ4L8s819S+e+qmf/mw5MqpOfEs3gtXu+SA3fBWfXqnD11d15v0aSeF7rSXAx8bAbqgDonvsVr8XqXHLgLTjKqsNa+yjlQTeo5OVFai4FLMJA3/CVAdUAU1g4xi+LidZHAzvK78HoXnNBcWDvJtii+M6/VpC4Gv5YXA1dm4M7FqXh9DAOVA4/hMWu5C693wQm/hTVn2WPe78xrNamPyYHSUgxckoE7F6dLEvobqOL1nOgUr4/ntTh9PKdoLF6fw2s1qefwXFqLgUswUIX0nDAUr8XrXXLgLjjJqMJa+yrnQDWp5+REaS0GLsFA3vCXANUBUVg7xCyKi9dFAjvL78LrXXBCc2HtJNui+M68vjepOFFXcVA5UDlQOVA5UDlQOVA5UDnwuXIg9uTvTerdfsVEJ+q5GCgG2gxQZO4yCus5kSpeX5vXiv9rxx/v75wD1aSek7+ltRi4BAN3Lk6XILADonjtELMoLl4XCWwsL04bpDxAVLw+gMSGisxrNakNkkpUDHwUBvKGv7JfhfWc6BSvr81rxf+144/3d86BalLPyd/SWgxcgoE7F6dLENgBUbx2iFkUF6+LBDaWF6cNUh4gKl4fQGJDRea1mtQGSSUqBj4KA3nDX9mvwnpOdIrX1+a14v/a8cf7O+dANann5G9pLQYuwcCdi9MlCOyAKF47xCyKi9dFAhvLi9MGKQ8QFa8PILGhIvNaTWqDpBIVAx+Fgbzhr+xXYT0nOsXra/Na8X/t+OP9nXOgmtRz8re0FgOXYODOxekSBHZAFK8dYhbFxesigY3lxWmDlAeIitcHkNhQkXmtJrVBUomKgY/CQN7wV/arsJ4TneL1tXmt+L92/PH+zjlQTeo5+Vtai4FLMHDn4nQJAjsgitcOMYvi4nWRwMby4rRBygNExesDSGyoyLwON6k///zzW1f+xRd/+ET9N9/87U2Oge+//+f7N56R/elPf3yXbT18/fVf3+Z/990/tqZ98u2HH/7VxPTJpAe/fPvt39/9PerbKARtcO+Nn376z9N9F4u8f/nlnxX9v/svv/zyzhPPvTET956unvzHH//9juWrr/7Sm/ah5HnDjzpH7m3FF33EFT6xxUUsZ8YzsIKLvAXjnl9bPqxixfbWvtb2XbBS5zkT4IV6CO6ZscIreQiGI7Y5X7DlNXLe6NcKVjCyfqsmasf70ZxxvvcVnOgYwUrs5XTmXJzBGnMPjjgT94ZnK/auXK/wBZ/kdCZP4WKG18jh0dyL++pRWIebVICbiBz6DmWQQcPqMBmizG+t+0yz4ibKjXPWT4ON/iNFLK+N7zaGJg4BPGPI3dZhJpY938/AJ+9b/lOE5WmrILfiTpLPFpCev3JaTWqPof/Kbeq34sts9rZ7yh+lR/f7f62tFdKjWP2RTU7u+RWx5WfWzw4L+da+RvddsFKD3E/scZ6pR+AfHSu8+kPJXNyyvRJ79c5ihSPPy62aqB3uR3MmrvF5FifrR7CCkWtljGJl32vT3NtrjplP/JnPxbP5O4J9FGvUfbRegct9RE3FJjV2dKxghS/W79UrcME9eM2bR2CdalIly+SIxRRnYpJYOGbAHg2EzdJeo8Z38B0pYlu2j9rb0nHkmw3VVnJ8lCY18+HGeMRhEnWrd6YoRT13eV4pTnDEj4StGLD3rQNywpq9vejceD8ba7S151ec23qexQpf1E/42drX0ebVseb4W5OyPPrUe57llfPFc2mvvoNrBlvGPIsVnGLlMN8bMzkTdc7iRMcI1q06EfFsPa9gRS95sFd7+B77ERtG7iNjBeuR2gpG9lIc9FYzZ9cs1pHcA1vcVzzHXjD6sfWcsU41qZCHIsmK7yQA33COkd8hnWRmDhcFOG5U3pFHZ9GvHmzyjTluitg08gwxfGeuOKJN7faIwl6cH/VoCx1eEWvUaSFyHnpi0qEr2mFe1GWTih7Wqicebh4I8OOAzzg/23Wed+3AvTyDjbHlg1zggzrAiD1jyl3c+KZ+1kQuYtzV6zruzCWW0S/kOX/0qXc3d9DzCgOOZgbxpGjDL7EaGcZ5ZA1zn4l1xq/ozyxW85V9EPdx1J2f74RV7PgXa5nyvfsMr9QYOLIWWrt6tjwfsEV9m8GJ7hmsYMMeF+utkz2syGdyJuqbwcn6Eaz6gy3PA8/eiGXveRareuXW93zv5chMvs5iXamt5MLM2TWL9WjutRp9uV5t/qeaVJIPpwksw0aGBLGJoNETuN0061jD2njFQxBS+IYuRqthUYfrnIPcb+o3oMxVxh07rWHDHefyjF7wayt+F2vUF5u2OFcuKE4Zq/PAwOjpYJ4HnImALkf2lfl87xXElh1i15KjSx9aXOiDscGmsnyPmGLcW3rxs+UXOnuxlI94J1asMS98jzLmm9MZ8+iGi7Y/xzP4R4exZx3cGsujeuBuJCbqfSbWGb/EyX0GK7lGbjPIffdw1Nt6vhNW8Hs+sGdHxwyv8EOdsRbK8ZZtMMK/59UzsILRfWHd6dVksc/mjOu5z3A6gxVb4IVX8ltfI5a95xms6sS2Z5OyfDc3mRvHyH503QzW1dqKfxm7eLbuM1ix417a48e+CX4d5BB27WeU790z1qkmFSOQhTI2t88EAMeQ+wuVZ4uxBz93h42Hhz+JzRoDYRGxqcBx13h4xqbGdeKAXAfP6JZ45fGuL2KM9tx02ou6ow6e9UPf8/fWu7b1gbXgRW7wlWnbwuy7ySI32JF39Wbb6sQO/morz1O3tuQhchplxNREZY5coD/7Kl9iNH7RD+xGWxnfkXf1mk/mb8wJ+TIHxDpzkB3BdOYc+BodcsM64hJjcERXzNcj853zTKwzfomT+yhWcsd8Yj257H6IelvPd8IKfvZY9LXlU082yiu2PASthXEv9+wopz4RC/SMjlGscGJttQ5hvzdWcibqHMXJ2lGs0R7P5LbnRP629T6DFX3UKNZyxfrVssVcapT13HNtNAdmsEZso/savKO1WP9HsY7mXiufPftXeZ1uUkliHBecCUljgpwkICA824DGREIeLx0hcMh9Ry/vsfCYVAbMxkgMBAaSWRdlLV0GsbcGufbwidGy9/Yh/CMP+ggXbFyLlFPxE7lcRd+R887dwXp1kgTZT9c4J97jBlEfd9e0Dhbs8d056JNTeTAO6oQn5vHdROU9FmTzB72MHHfzKupWpk+scb229+7qgAs3fY6J+D38jA1r7zbgamQQF3hxjBZSOJrl6ZlYR/2SD++jWPPeYw8dzd07YWWP42vc63J25D7CK/s21ixrIXVnZID3aCyi3hGs1JK4L3hm/RZPKzkzi5N1M1ijPZ49/7b8y2t4H+E0rzcf0GHtznN4Zx7cMo/zhf3Fc6x7rXVZNop1tbaCcxSjmEexjuYefGMjxhuekW3FQnzxnrFON6mCsvGLTinjzuUgIQDQuiwSJowbWl2x8GjbBsZmKdqyYEVZS5fYuLfWINfeSJPKOgKGX1z6DAaCx4U+Lr4zV3703XXcHQYefazJmF2jvXiXL3V5d020wzflxAQOMs++Z702eXwHoxh4dsw0qazFX3CZJ+jO9rXRuns4iJF4oDOOjM25/tiKc6/+DD9HR4yVMYt387KnD35yDvXmtuTPxEr+jORNxjuC1X0SuYzPOf+yrTthZe9Qo2bHCK/Wp8ilz7Hu72FBz0zejmAl18SW78Q3j9WcifpGcLJuFGu05bO1JNZ8v23dR7FmXdgj9nu1Kq6b3V8jWOUjx973Pbx8JydmxwjWmdzzR0k8I1uyI/gz1ukmNTZLKI0k+ysFeWxePfxbm1LwfIv61KUegu0m8pCR1FiYcvOGftdtBRsd2AcrI9pT1rIn/q27zQ5ccWFHH8Crbbm0CLPOgyzKsJX9tKFGL9iPDHXmQi0e+TI28iwP+IFdRpSRI3Fzyh9yuXCduvVdPfLT8iPmoPy05kWZvGPfTcRz5sp5+MZ3OYi67vAM/pVBXLZioG74z/njt6P3Z2EFz1G/ethXsbKHjvJ1F6zsb/bkyljh1Vo4ulc5W+LhehT/ClbrS647W7ZHcibqWcGJnhms8OmZHbHsPa9iRT88HY0nvjF/Jm9XsR7d12D0nNzjr/d9FeuR3OOcBKuDZ2SjI2OdblIxDAAUcsWkAJzyCNoi4rd4t8kgcMhdZ7MS50IY7x6ezkHu0FaUMV89vQ0UsTuXO3pM5JY97XpHf1wfn8FmMxnl+qXvNo9xjs/OafkZ4+J87q4Ro3ft5EOzpQeMcioP0YbP8hubVL95R79Fei/u2GrhQRdyRrRlPumjd301d8hbdbiGuzpdd9c7vq2MI4WUfeEPEG0hGy2sz8AqPvJzJcarWNlDeb+JLd/vgJXa4v4Rf6/e+L11X+EV+6ynVvQGc2JeEoOcu721Wb6CFW5Yb/3LulvvIzkT16/gRM8RrMzRFzimvnpeRix7z4/A6tmzZQts1DY4zXm7tS5+W8V6pLaSy3kfIYv9VsTUe17FeiT3wElNJQ/gl+e413rYsjxjXWpS2dwoxIE4AIicK5MJwbFZ5DkWldysoNdNgj5s+m6jwfqMw4IVsTmPudjpDYiNGEn6uOHUE3W3dNkQYY8LPdFX+ROPet1krmceMvXEw63lJ1jjfHDmRI94tRP18h3dJBp2uYNPXoireJGpQz8tWNzFDQaw8M6aWBxacY8+MBe/nKdO3o1NtBV166sNqWvBYy4pQ1eMi3LuWxxq42p3cK8M+CVWcfCuDJ6NaeSKZ+MS1249n41V2xmvuer3I/dVrGCI+83cjTJw3AFr3pPmAftodKzwSi6yPtZYa5Qy35lHTVvZ0ytYrTsx96yhURb5yzkTv209r+BE7xGssVbHmryFq/VtFKvYWAc/rXjGeoVN9xT52eO6hS3LRrHm9Xu1NfqGLS/ydnSsYs2516tXEXMrFkdwZ6xLTeoRg6tzLICQZEK5IfhWoxiIDNCIkisrg8PO5tzC4L3V/K7YOntt3vBn21vRX1hX2OuvLV773Kx8uQuvd8FJLArrSkb2196Z18s3qbEzh+h4zXbq/VDWl7szQIPqX01mfeFHUP4rkH+F9YfSrO5nr7tzcXo2VyP2itcRto7PLV6Pc3V0ZnF6lKmxecXrGF9HZ2deL9+k4hjNKM0H4Ll4rgb1aMhr3igDNLn5L6n81Z5G9W4jb/gr4y+s50SneH1tXiv+rx1/vL9zDtyiST0nxUprMfDxGbhzcbpydIrXc6JTvD6e1+L08ZyisXh9Dq/VpJ7Dc2ktBi7BQBXSc8JQvBavd8mBu+Akowpr7aucA9WknpMTpbUYuAQDecNfAlQHRGHtELMoLl4XCewsvwuvd8EJzYW1k2yL4jvzWk3qYvBreTFwZQbuXJyK18cwUDnwGB6zlrvwehec8FtYc5Y95v3OvFaT+pgcKC3FwCUZuHNxuiShv4EqXs+JTvH6eF6L08dzisbi9Tm8VpN6Ds+ltRi4BANVSM8JQ/FavN4lB+6Ck4wqrLWvcg68N6l8qKs4qByoHKgcqByoHKgcqByoHPhcORBb9fcmNQrruRgoBoqBYqAYKAaKgWKgGPicDFST+jnZL9vFQDFQDBQDxUAxUAwUA00Gqklt0lLCYqAYKAaKgWKgGCgGioHPycD/Ag6r2NfR1e6lAAAAAElFTkSuQmCC"></p>
<p>A <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>-test is to be performed at the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>%</mo></math> significance level.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the null and alternative hypotheses.</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 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-value for this test.</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 conclusion to the test. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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>
<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 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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>
<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>
<br><hr><br><div class="specification">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f(x) = 1 + {{\text{e}}^{ - x}}">
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mn>1</mn>
<mo>+</mo>
<mrow>
<msup>
<mrow>
<mtext>e</mtext>
</mrow>
<mrow>
<mo>−<!-- − --></mo>
<mi>x</mi>
</mrow>
</msup>
</mrow>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="g(x) = 2x + b">
<mi>g</mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mn>2</mn>
<mi>x</mi>
<mo>+</mo>
<mi>b</mi>
</math></span>, for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x \in \mathbb{R}">
<mi>x</mi>
<mo>∈<!-- ∈ --></mo>
<mrow>
<mi mathvariant="double-struck">R</mi>
</mrow>
</math></span>, where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span> is a constant.</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="(g \circ f)(x)">
<mo stretchy="false">(</mo>
<mi>g</mi>
<mo>∘</mo>
<mi>f</mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mi>x</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>Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathop {\lim }\limits_{x \to + \infty } (g \circ f)(x) = - 3">
<munder>
<mrow>
<mo form="prefix">lim</mo>
</mrow>
<mrow>
<mi>x</mi>
<mo stretchy="false">→</mo>
<mo>+</mo>
<mi mathvariant="normal">∞</mi>
</mrow>
</munder>
<mo></mo>
<mo stretchy="false">(</mo>
<mi>g</mi>
<mo>∘</mo>
<mi>f</mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mo>−</mo>
<mn>3</mn>
</math></span>, find 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">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A college runs a mathematics course in the morning. Scores for a test from this class are shown below.</p>
<p style="text-align: center;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn><mo> </mo><mo> </mo><mo> </mo><mn>33</mn><mo> </mo><mo> </mo><mo> </mo><mn>51</mn><mo> </mo><mo> </mo><mo> </mo><mn>62</mn><mo> </mo><mo> </mo><mo> </mo><mn>63</mn><mo> </mo><mo> </mo><mo> </mo><mn>63</mn><mo> </mo><mo> </mo><mo> </mo><mn>70</mn><mo> </mo><mo> </mo><mo> </mo><mn>74</mn><mo> </mo><mo> </mo><mo> </mo><mn>79</mn><mo> </mo><mo> </mo><mo> </mo><mn>79</mn><mo> </mo><mo> </mo><mo> </mo><mn>81</mn><mo> </mo><mo> </mo><mo> </mo><mn>88</mn><mo> </mo><mo> </mo><mo> </mo><mn>90</mn><mo> </mo><mo> </mo><mo> </mo><mn>90</mn><mo> </mo><mo> </mo><mo> </mo><mn>98</mn></math></p>
<p>For these data, the lower quartile is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>62</mn></math> and the upper quartile is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>88</mn></math>.</p>
</div>
<div class="specification">
<p>The box and whisker diagram showing these scores is given below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p style="text-align: center;">Test scores</p>
<p>Another mathematics class is run by the college during the evening. A box and whisker diagram showing the scores from this class for the same test is given below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p style="text-align: center;">Test scores</p>
<p>A researcher reviews the box and whisker diagrams and believes that the evening class performed better than the morning class.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the test score of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math> 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>With reference to the box and whisker diagrams, state one aspect that may support the researcher’s opinion and one aspect that may counter it.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>As part of a study into healthy lifestyles, Jing visited Surrey Hills University. Jing recorded a person’s position in the university and how frequently they ate a salad. Results are shown in the table.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">Jing conducted a <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\chi ">
<mi>χ<!-- χ --></mi>
</math></span><sup>2</sup> test for independence at a 5 % level of significance.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the null hypothesis.</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>Calculate the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>-value for this test.</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, giving a reason, whether the null hypothesis should be accepted.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>At the end of a school day, the Headmaster conducted a survey asking students in how many classes they had used the internet.</p>
<p>The data is 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>The mean number of classes in which a student used the internet is 2.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether the data is discrete or continuous.</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="k">
<mi>k</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>It was not possible to ask every person in the school, so the Headmaster arranged the student names in alphabetical order and then asked every 10th person on the list.</p>
<p>Identify the sampling technique used in the survey.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Kayla wants to measure the extent to which two judges in a gymnastics competition are in agreement. Each judge has ranked the seven competitors, as shown in the table, where 1 is the highest ranking and 7 is the lowest.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS4AAABQCAYAAACnH5hGAAAUCklEQVR4Ae2dzcsdtRfHb3/89lrdShEfN6IgaFUQFRRsfQERVKp1Iyjqo+JCVGhVXPjS1reV+AIKIkgVBd1U1IUFq4Laii7EjRWR4qr17R945BP5Xs9NZ+7N3EnyzL09gXtnJpOcb843yZlMMkk2rK2trY3cOQPOgDOwQAz8b4HS6kl1BpwBZyAw4IbLC4Iz4AwsHANuuBYuyzzBzoAz4IbLy4Az4AwsHANuuBYuyzzBzoAz4IbLy4Az4AwsHAP/b0vxhg0b2m65vzPgDDgDRRhI/Tqr1XCRqlQhRTRwoccxwMOkVp7Uwlo2HDJt2XSqqc9xhb7Fw18VW4hxb2fAGRguA264hps3njJnwBloYcANVwsx7u0MOAPDZcAN13DzxlPmDDgDLQxkM1wffvjh6Oabbw4dk3TmnXnmmaN77rlndOzYsRboxfO+6qqrRvwW0ZEX5MvPP/+cPflvv/32ON/BsD9wSzjyweJwnstN0ycXhuRMw0KnXPzNwnnmmWeUpGzHknmUxXBByrXXXjs677zzRkePHg2/bdu2jV5++eXRjz/+mI2IWoIwwKkG6pRTThmVyPScun7++echL3LKtLLga3V1NXgdPnw4jHwy+rl3796Am5MfdJGRAkM4gFMOc7g2fVZWVgI2acjl2rA0enz66adngZqFs2nTpiw4CFEe/fTTT+OycODAgSA/W1lgWZsm9+/XEE13Jv0OHz7Msjhrq6urkzfW1tZWVlbWDhw4cJz/0D1I99atW2cmU7rv2bNnZtgcAVLzJMZCH9JI/NT86IpF/oMTu7ayoXBdcMR3U97MkjPrvtKj4zR9mvRUPI65sNBzWn7lwkEfuG1zXXCm5VFOHCxio0tN7M6dO0NGfffdd41yrCeZsHnz5hAe+du2bZsgDMXwp5Lt27cvVASuycCjR482+iEf7I0bN4a4YJAmXXMeu1deeWUsG0ylnaNNH9hKDwVZaUHe3r17xzIUjqMKGhmIfrqHXN1TfN1DN/GIX5ubdq8tDukk7SpQXKe4rljwCI51wpxm2LvgKA+Q29V1wUF2kz74p6QhF9YsHefBaTL6OXGQT7pK51FrLUklRQmdpTyVFpkYDRyKUZkpIFRcHEfC4K9wVDT8wIn9dE1cDJ3CyUBwHz9bWalEGDWFkZFTGpAlOSFR5o902YyXTnHFRBYYFHLO+anAy0giVsaKe6Rf1wZy4pR0dXXEgWt+MRfTZHXBapONDMtXE14qjjDgah6XioNsYdlyI0zlI2HaXF8s6oTKZxsG/vPgxGV1mnzdS8URbzXyqLUmpCaWcLMKJwTQ+ojDqeLbAoK8WHH8MBrWxeGaZBE+NjYYFAyEHEYFWdYIch2nlfD4WX9hxoUBWeAgW45zGTP5EQ+slEJKHMJ2cfCotKlQ6XqWnC5YergQx/5mYXA/FacrVzF2Kg7xpE+TccptuIRlecNwpbh5dLJljfj2ug0zFadmHmXpnE/p1XvnnXdGV1xxxUTQSy65JFz/+uuvE/5NHZKnnnrqRBgumkbITjvttIlwW7ZsGX399dfBj07DP/74Y3T11VePwyB38+bNozgN4wBznLz//vujCy+8cGTTzDl+TWkWD3NAtUZB108++WT08MMPhzBnnHFGa9i+Nz777LMRHdfYIf3orKcTvUnfefA+/fTTEK0EV3F60AfXxBn6oGvTvVhOyrWwxBud2JTZ3E44l1566Xg0Fj1y8tmUR/FoZq7y0NtwofzHH3+cm+ds8k466aRgrKxAm3lUroMHD44OHTpkgyz8+W233TZihA/99EOpX375JbtuGEg+f7HuwQcfDJfvvfee9Z77nBEqyloNhz5bt249DopKR1nPaVhiLAzJSy+9dBx2Xw9w4K+kgWzKo3g0M5fB7224aK3gclnSvhkUx6eixgWep5oyUMePPvoojrqw1zzlMCTSTccSCpHvGMi4NV0Cq4bMafo899xzIQkyyn3TMw2rr2wbXzjW4JYykBZX5+BTB3MZLeT2NlzXX399SF/Tk5XKo29eMHDvvvuudAnH77//PhzPOeecCf8+F3///fdE9G+++Sa8CuJ51llnhXs//PDDRJj4oulpG4fhuq2Zff7554cnc/zxLa+s3CvtbrnlltGjjz56HAyFh0KU0+k1/OKLL54Qq/IQ+08E6nARt+gUlQ80c32/hcw2fcDgu8Q9e/Zkq4BtWNSZNn2ld5ejcC677LIu0TqHbUszLbG2e51BFKFvhxzx6QCnA0+d7HYUTZ1/GvVTJzgdn8Szne7qKLed8/JrCmf9wCEN+KlTVaOKSgNpRTad5PIjLH66JgwDCYThHqOA6sxHdtxxSjg67Ekn+vMjnjri8ecnXKUNHI0i2pFG/NtcSicpaWkLh3+c/j5YxEWvGE8dznYgoy+OZHKUU2ew5VT34mOcxvi+rpv0kR/HFNcHC/nETxlE6YqTwlOTfqk4TXkk7nLqEzhqSqjIa7sX+1MxqYRUVpTkRyXHj3tyKEbF4b6t2Lqve9yXgbPfQqngNPnJcMnoIAN5GEzrrBFROuMwGBKlBUzFITw/MOTQCV342cxBBhzYONZAKZO5T1x7T7LjI2GnORktwpF+66QP93IZFBVKZMY/9EtxxEt1ljPh2QfONDkpONP0mSY7vtcXi/gpes2DE6c15ToFR3LiPOKa8pZLH+Fs4EStL3ukQ7fllg02mHOa13S603/V9go3mMTOmZCaeVILa9lwyNpl02mI+vTu45qzDno0Z8AZcAbmZmBpDJc65Y8cOTI3GR7RGXAGFoOBqa+Ki6GCp9IZcAaWhYHU7infLGOBcrxWXwOU1MJaNhznbv4KRVlIdUvzqpiqsIdzBpyBxWfADdfi56Fr4AyccAy44TrhstwVdgYWn4HBGS6mBvCum22J18XPI9fgBGPgkUceGU+VO8FUT1a3t+FizXUMDb8cc8a++uqr5MTnCsicSdaY17zKXHKHIIdNTLLPEzOKMR+TfLcbI1xwwQXZuRQOslXeOEe/nK4WDmmmvEkXe3z66adzqjQhi7mqGEbKBPyVcsVx9Al9fEz9zJ/5T4TVfL5YzjzXyLPTZ+aRkRInnsqTMi0hRW6pMKl5Aj5TiOwUoK5pSsXS9CtN0aI8ML2IaUx2ulcbflcc5RE4mlKVMgevFg56pmKhC2GlUxtHbf6pOIrP1DbyhalNKVPMFG+IOL1bXFqqgnWvFs3de++9o+3bt4dpQouW9mnp5Wm3a9eusK4TqxmUdH/++WfY4eeuu+4KMJSHO++8M6yBlnOHJ+FoOhc4N910U8D87bffsqlYCydbghMF0bpjJy7W+uJ37rnnJsbsFqwWTusM1y5WlrC2haSnsJ3Mqwms1g+LztNS4ZGjcyuPJ3c8iZuw/Kw8nvqaTMwx9anS98mnJ1PpI/p2dfA4T7x54ihtwkxpSfTBoayQzymuFg5pScXqW+5ScUgTPNm6ksKZwgwRp3eLq8keN/V1YeW16KDi0J+AH/1k7MdInrM3Y+xeeOGFsBbS/v37Qxi1Ivbt2zfSAoB05u/YsWP0xhtvhDDs63j55Zcv1Ya0MS9DvWbxxo0bN47XP8udTp7qrKxJ64iVPUu5Wjil0i+51EcWe7z//vvlVeRYC4fEFzFcbazYNdgJw2JzrAH/xBNPjNdn1xrpVgYLuFFQ1bxVmC+++GIcbPfu3eGVRa8SDzzwQJCtBe3GAf2kKAMMdJBfPKji/M4BTCc2q4BgsHhdLNVFUQsHTl588cXQWQ5miQGHDz74IFDPfF47uMEijDQecrlaOKS3quGKCWJTCVYbnbeAq9DyZKyxCUacfr+eZIBKcMcdd4QHCA+aEo5WOT8MI0/4iy66KGvlU5pr4LAiL28cvBmwSiitIhx9UTlXqqVlimNDGDatQTeWf+IBw9tMLlcLh/Suq+FKJYxKQCHFQOFeffXVcIyXBT4RNsFI5Ww9wvFJBE90jEppR5kAh8peslVdEocHNkuL24GN1157LVCXWycaCLypaDCNNxO6UzBkOV0tnIUwXLxK0g923XXXhe9enn322RH9W3otFPHLvgmG9BzikdcOKmINoyX9tRXdX3/9Ja8ix1o4JF7dId9++20RXaxQ+pPVyrP+uc9L4BQzXE0bTsTv01h/LeQvsuIw+NOc5enw+++/h2YuzeprrrlGUcadwLM2wRhH8JOsDNACpuXw1ltvjeXyYWjO2Q+05mJ5WoNt06ZNY9y+J7VwSCdYfAxqnTaQ4fUxl6Oesa1aXLcwjvGAWR/MWjghjRryjI9dhkAJaz9fQBZD1VpL3X7OwEeDchoO1serfBrBkC1Dt3w+IYefwsgvPhIePA3BIws/Xcfh7bU28oh1sGGGcN4lT5ReeCNeCg+KwzEVC54JG396Qv6n8JmKQxmI85eyZMuTTX98XgunC3dtOqFnzo93ySNkUh8kVxvJxPstxLx10acWTkhTU0K7JFZh40JKQcYAUWDIIK45cm2NEovpQyr+FHZVBBtOJONnf9aYkSEyXoShQM/KFOITzsrk2spt42c9/ElnqoNr8S/98IPvFJeKBeeSHx/jMtGEm4qD4bX5G1fEJtnWrxYOmKlYlE894IkjnagDKS4VB1nwZ8t6Sv1QGoaI01oTUhMrQzPLSIiErkcMEiTHFQ480hj7d5W/SOFT8ySHTrWwlg0H7pdNpyHq06uPiyHbnTt3hl1qGZYu4RhdOXjwYPiOy8pXH1fpjlmL6efOgDMwDAZ6GS62JGe0jxUd5v0WaxYNZ599dghCx6w6FzGYjGLxdfaVV145S4TfdwacgSVjYOpmGf+2etdfY77hev7550PLi9RgsLZs2RKm+Gj4eP1TWT4FfFldK09qYS0bDqVg2XQaoj5TDVf5qugIzoAz4Az8x0Dqg9l3+fmPs8Gf1XryQUQtrGXDce7mr0aUhVTXq48rFcTDOQPOgDOQkwE3XDnZdFnOgDNQhQE3XFVodhBnwBnIycDgDJfv8pMze13WIjJQa5efWjgl8qC34VrkXX6YCMyyJdIBo6klc0qQXUsm37vxCQmTeOnw5MdyM1oWKGc6hGUXqOM89+47Ns3ILrlzkcXi+0H4K8EdMpU/9ph7l59aOOLK6qLz7PnVNj0k9TN/TfnJOb8P7JR5bm1pT/HX/EfmvzGtiB/zxsDuOiE5BS9HmNQ8kR7oiCOPmLfIXDj0THFdscQZWJoTx/ksl4qDHDvftUs84nYNLzzi8ZN+s/TpgoXMrrItfqpOtXAod/HUP9mHlKl5qfrAQe8WlxYm02qk9mk15HOmCq2srIT1o/jqn999990Xkvzll18OOekz06adauwCdSV23iEhwtLaaJSHErvv1Ny5CL1oSd5www0j7W8wk3QPEFr5moonOl5//fUiM1x6Gy4l0B55/aKJyKuKHFN0Yj/uUSAVnvucx45CxPu4XunU/Izl8ZqnPjKOWtsolsc1q0GyrtcyOjYQqbWgXxMW6zzxUJAxy8ExBpHXXz0oc8icJuOxxx4La8DFq+xOi+P3Jhmg3rI89OrqavYpgUUMFwUsdlSkeNEyFBvSLj9HjhwJyV7Gwlp65x2Ioy+FBw+tsJK778RlK/c1fWgsjPjUU0/lFn1CyWOBBPaCuP322/Prbd+Z7XmX903Cxn1S+LH+k3VcWz/1M8X9LrE8rVNkZRHG9qsRxl4jkzDq57Fxm84JHy9g2BRuPf3QZx5H3xBxU/oZJL8rFuH5Ka/iPJXc+NgVh/iUta7xUsOrPxDOLFbJPi76hrR2Wol1stTHVRonzlt0AjPVpeYR8oq0uFLN65B2+eHVgMnbrG+/TI5Wbemdd+CL/m9+tKxpcZfafad03rBE+EMPPTRe+93iMWqWc7S01i4/tXAsV/DEevbqN7b3spy3WcMu1o+w87S44haY0hLL08qXeuqppaZrPVGIF/9sC0/y4yMtNZ50qa2EOH6ta3Tr6tAL/rq6ebCEQcuO+Cmt3XlwSrW4ppUj0slPZU66Nh3n0Uly1DqO65Pu2+OQcah3tLi6uC76rGuLK9Xyltzlh9YBHYh0MpdaUyxVz9zh1mPnHXSouStOTs4YTFDLUUeNKmoHqZwDDk1p1zJNpXf5KYnDgBubczz55JNNKmbxK2a4FmGXH0Ydqdz79+8fGy1erexoaBaW10FIjZ13UAuueIWyrsTuO1b+spzDXY1dfmrhKF9YYLT0Ip/FDNfJJ58cth7DOGAMyCDeeTmX2759exh1UOZhqW+99dYwlM4omNyhQ4d02nikpcSQ644dO8ZfOCMLozTti2e+09m1a9dEf0bujTgbE1zYE93vvvvuEZuL2lbkm2++WQR59+7dY57Bfvzxx8NocdOnLTkSoOW6p+VtDhwrQ8bY+uU4p7UvPeCO/kgq/Y033phD/FhGLRzqN1jkvS1744TkOml7B+3yvknY+J2cd3WNlPC+yzVHwto+F/pDGInCnxEIfWlrw6lPCz/7i0cR1RdGmFmjM+qHsfJ0ntIv1sZbSX/Sl+LgQbrExzif2uSlYtHnY3kvOaqofhOrE34po6Wp+lg+bBlBL4002jBN56lYtXb5qYUDF6qrKbMmYu5SeSNea01IFSJDE3/qHydq3ms6zDFCceEEjzTG/vPiLEK81DzJoUstrGXDgftl02mI+vR6VaRp67v85Gr7uhxnwBlIZaCX4fJdflJp9nDOgDOQkwHfLCMnmy7LGXAGejHw75v2bBGtm2WkCpgN4SGcAWfAGcjLQK9XxbxJcWnOgDPgDKQx4IYrjScP5Qw4AwNiwA3XgDLDk+IMOANpDLjhSuPJQzkDzsCAGHDDNaDM8KQ4A85AGgNuuNJ48lDOgDMwIAbccA0oMzwpzoAzkMbAP7+fhY2J1q0zAAAAAElFTkSuQmCC"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate Spearman’s rank correlation coefficient for this data.</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>State what conclusion Kayla can make from the answer in part (a).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</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 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>
<br><hr><br><div class="specification">
<p>In a high school, 160 students completed a questionnaire which asked for the number of people they are following on a social media website. The results were recorded in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img 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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">
<p>Write down the mid-interval value for the 100 < <em>x</em> ≤ 150 group.</p>
</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">
<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>
<br><hr><br><div class="specification">
<p>Stephen was invited to perform a piano recital. In preparation for the event, Stephen recorded the amount of time, in minutes, that he rehearsed each day for the piano recital.</p>
<p>Stephen rehearsed for <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math> days and data for all these days is displayed in the following box-and-whisker diagram.</p>
<p><img style="margin-right: auto; margin-left: auto; display: block;" src="data:image/png;base64,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" width="488" height="256"></p>
</div>
<div class="specification">
<p>Stephen states that he rehearsed on each of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math> days.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median rehearsal time.</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>State whether Stephen is correct. Give a reason for your answer.</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 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> days, Stephen practiced exactly <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math> minutes.</p>
<p>Find the possible values 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">c.</div>
</div>
<br><hr><br>