DP Mathematics HL Questionbank

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• 16N.3sp.hl.TZ0.2c: Use this model to find the values of $A$ and $B$ such that...
• 16N.3sp.hl.TZ0.2b: Explain why a normal distribution can be used to give an approximate model for $X$.
• 16N.3sp.hl.TZ0.2a: Find (i)     ${\text{E}}(X)$; (ii)     ${\text{Var}}(X)$.
• 17M.3sp.hl.TZ0.2c.ii: A random sample of 100 observations is obtained from the distribution of $X$. If $\bar X$...
• 17M.3sp.hl.TZ0.2c.i: State the central limit theorem. 
• 15N.3sp.hl.TZ0.3: Two students are selected at random from a large school with equal numbers of boys and girls. The...
• 08M.3sp.hl.TZ1.3: (a)     Find the probability that the weight of a randomly chosen apple is more than double the...
• 08N.3sp.hl.TZ0.4: (a)     A random variable, X , has probability density function defined...
• 09M.3sp.hl.TZ0.1: Ahmed and Brian live in the same house. Ahmed always walks to school and Brian always cycles to...
• 09N.3sp.hl.TZ0.2a: Alan and Brian are athletes specializing in the long jump. When Alan jumps, the length of his...
• SPNone.3sp.hl.TZ0.3a: Find the probability that the weight of a randomly selected male is more than twice the weight of...
• SPNone.3sp.hl.TZ0.3b: Two males and five females stand together on a weighing machine. Find the probability that their...
• 10M.3sp.hl.TZ0.4: A shop sells apples, pears and peaches. The weights, in grams, of these three types of fruit may...
• 10N.3sp.hl.TZ0.1a: A hospital specializes in treating overweight patients. These patients have weights that are...
• 13M.3sp.hl.TZ0.4b: (i)     State the central limit theorem. (ii)     A random sample of 150 observations is taken...
• 14M.3sp.hl.TZ0.1c: A random sample of $40$ observations is taken from the distribution for $X$. (i)     Find...
• 15M.3sp.hl.TZ0.1b: A large can and a small can are selected at random. Find the probability that the large can...
• 15M.3sp.hl.TZ0.1c: A large can and five small cans are selected at random. Find the probability that the large can...