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9709/72

Mathematics 9709/72 — February/March 2019

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

7
questions
50
marks
75
minutes

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

Q1Sampling and EstimationFree sample

The masses of a certain variety of plums are known to have standard deviation 13.2 g13.2\text{ g}. A random sample of 200 of these plums is taken and the mean mass of the plums in the sample is found to be 62.3 g62.3\text{ g}.

(i)

Calculate a 98% confidence interval for the population mean mass.

3M
(ii)

State with a reason whether it was necessary to use the Central Limit theorem in the calculation in part (i).

1M

The rest of this paper

6 more questions
  • Q2Linear Combinations of Random Variables5M
  • Q3The Poisson Distribution · Hypothesis Tests6M
  • Q4Sampling and Estimation7M
  • Q5The Poisson Distribution · Linear Combinations of Random Variables8M
  • Q6Hypothesis Tests10M
  • Q7Continuous Random Variables10M
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