Mathematics 9709/73 — May/June 2013

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

questions

marks

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

Q1Linear Combinations of Random VariablesFree sample

The mean and variance of the random variable $X$ are $5.8$ and $3.1$ respectively. The random variable $S$ is the sum of three independent values of $X$ . The independent random variable $T$ is defined by $T = 3X + 2$ .

(i)

Find the variance of $S$ .

(ii)

Find the variance of $T$ .

(iii)

Find the mean and variance of $S - T$ .

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6 more questions

Q2Hypothesis Tests5M
Q3Sampling and Estimation6M
Q4Linear Combinations of Random Variables · The Poisson Distribution6M
Q5Continuous Random Variables7M
Q6The Poisson Distribution7M
Q7Hypothesis Tests · Sampling and Estimation14M

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