Mathematics 9709/52 — May/June 2023

Cambridge A-Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

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Topics Discrete Random Variables · Probability · Representation of Data · The Normal Distribution · Permutations and Combinations

Q1Discrete Random VariablesFree sample

The random variable $X$ takes the values $-2$ , $2$ and $3$ . It is given that

\text{P}(X = x) = k(x^2 - 1),

where $k$ is a constant.

(a)

Draw up the probability distribution table for $X$ , giving the probabilities as numerical fractions.

(b)

Find $\text{E}(X)$ and $\text{Var}(X)$ .

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