Mathematics 9709/62 — May/June 2021

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

questions

marks

minutes

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

Q1Hypothesis TestsFree sample

In a game, a ball is thrown and lands in one of 4 slots, labelled $A$ , $B$ , $C$ and $D$ . Raju wishes to test whether the probability that the ball will land in slot $A$ is $\frac{1}{4}$ .

(a)

State suitable null and alternative hypotheses for Raju's test.

(b)

The ball is thrown 100 times and it lands in slot $A$ 15 times.

Use a suitable approximating distribution to carry out the test at the 2% significance level.

The rest of this paper

6 more questions

Q2Linear Combinations of Random Variables · The Poisson Distribution7M
Q3Continuous Random Variables7M
Q4Linear Combinations of Random Variables · Sampling and Estimation8M
Q5Hypothesis Tests6M
Q6Sampling and Estimation8M
Q7The Poisson Distribution8M

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