Mathematics 9709/63 — October/November 2021

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

questions

marks

minutes

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

Q1Sampling and EstimationFree sample

It is known that the height $H$ , in metres, of trees of a certain kind has the distribution $\text{N}(12.5, 10.24)$ .
A scientist takes a random sample of 25 trees of this kind and finds the sample mean, $\bar{H}$ , of the heights.

(a)

State the distribution of $\bar{H}$ , giving the values of any parameters.

(b)

Find $\text{P}(12 < \bar{H} < 13)$ .

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6 more questions

Q2The Poisson Distribution4M
Q3Sampling and Estimation5M
Q4Continuous Random Variables9M
Q5The Poisson Distribution · Hypothesis Tests9M
Q6Sampling and Estimation · Linear Combinations of Random Variables8M
Q7Hypothesis Tests10M

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