Mathematics 9709/73 — October/November 2015

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 number, $N$ , of words contained in the leading article each day in a certain newspaper can be modelled by a normal distribution with mean 352 and variance 29. A researcher takes a random sample of 10 leading articles and finds the sample mean, $\overline{N}$ , of $N$ .

(i)

State the distribution of $\overline{N}$ , giving the values of any parameters.

(ii)

Find $P(\overline{N} > 354)$ .

The rest of this paper

6 more questions

Q2The Poisson Distribution5M
Q3Sampling and Estimation5M
Q4Continuous Random Variables8M
Q5The Poisson Distribution · Hypothesis Tests9M
Q6Hypothesis Tests9M
Q7Sampling and Estimation · Linear Combinations of Random Variables9M

Loading the full paper…