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9709/72

Mathematics 9709/72 — October/November 2011

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

7
questions
50
marks
75
minutes

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

Q1Linear Combinations of Random VariablesThe Poisson DistributionFree sample

The random variable XX has the distribution Po(1.3)\text{Po}(1.3). The random variable YY is defined by Y=2XY = 2X.

(i)

Find the mean and variance of YY.

3M
(ii)

Give a reason why the variable YY does not have a Poisson distribution.

1M

The rest of this paper

6 more questions
  • Q2Hypothesis Tests5M
  • Q3Linear Combinations of Random Variables5M
  • Q4Sampling and Estimation7M
  • Q5Hypothesis Tests7M
  • Q6The Poisson Distribution10M
  • Q7Continuous Random Variables12M
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