9709/63

Mathematics 9709/63October/November 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 · The Poisson Distribution · Continuous Random Variables

Q13MSampling and EstimationFree sample

The heights, in metres, of a random sample of 10 mature trees of a certain variety are given below.

5.96.56.75.96.96.06.46.25.85.85.9 \quad 6.5 \quad 6.7 \quad 5.9 \quad 6.9 \quad 6.0 \quad 6.4 \quad 6.2 \quad 5.8 \quad 5.8

Find unbiased estimates of the population mean and variance of the heights of all mature trees of this variety.

The rest of this paper

6 more questions
  • Q2Hypothesis Tests8M
  • Q3The Poisson Distribution7M
  • Q4Linear Combinations of Random Variables8M
  • Q5Sampling and Estimation7M
  • Q6Continuous Random Variables · Linear Combinations of Random Variables7M
  • Q7Hypothesis Tests10M
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