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9709/62

Mathematics 9709/62 — February/March 2023

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

6
questions
50
marks
75
minutes

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

Q1Sampling and EstimationFree sample

Anita carried out a survey of 140 randomly selected students at her college. She found that 49 of these students watched a TV programme called Bunch.

(a)

Calculate an approximate 98% confidence interval for the proportion, pp, of students at Anita’s college who watch Bunch.

3M
(b)

Carlos says that the confidence interval found in (a) is not useful because it is too wide.

Without calculation, explain briefly how Carlos can use the results of Anita’s survey to find a narrower confidence interval for pp.

1M

The rest of this paper

5 more questions
  • Q2The Poisson Distribution13M
  • Q3Continuous Random Variables8M
  • Q4Hypothesis Tests · The Poisson Distribution5M
  • Q5Linear Combinations of Random Variables11M
  • Q6Hypothesis Tests · Sampling and Estimation9M
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