Mathematics 9709/73 — October/November 2019

Cambridge A-Level · Probability & Statistics 2 (S2) · worked solutions for every part, with the mark scheme

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Topics The Poisson Distribution · Hypothesis Tests · Linear Combinations of Random Variables · Sampling and Estimation · Continuous Random Variables

Q1Linear Combinations of Random VariablesFree sample

The random variable $X$ has mean 2.4 and variance 3.1.

(i)

The random variable $Y$ is the sum of four independent values of $X$ . Find the mean and variance of $Y$ .

(ii)

The random variable $Z$ is defined by $Z = 4X - 3$ . Find the mean and variance of $Z$ .

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