9709/62

Mathematics 9709/62February/March 2022

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 · Hypothesis Tests · Linear Combinations of Random Variables · Continuous Random Variables · The Poisson Distribution

Q1Sampling and EstimationFree sample

The lengths, in millimetres, of a random sample of 12 rods made by a certain machine are as follows.

200 201 198 202 200 199 199 201 197 202 200 199

(a)

Find unbiased estimates of the population mean and variance.

3M
(b)

Give a statistical reason why these estimates may not be reliable.

1M

The rest of this paper

6 more questions
  • Q2Hypothesis Tests5M
  • Q3Sampling and Estimation5M
  • Q4Hypothesis Tests · Sampling and Estimation6M
  • Q5Linear Combinations of Random Variables9M
  • Q6Continuous Random Variables11M
  • Q7The Poisson Distribution · Linear Combinations of Random Variables10M
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