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9709/72

Mathematics 9709/72 — May/June 2010

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

7
questions
50
marks
75
minutes

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

Q1Continuous Random VariablesFree sample

Fred arrives at random times on a station platform. The times in minutes he has to wait for the next train are modelled by the continuous random variable for which the probability density function ff is shown above.

(i)

State the value of kk.

1M
(ii)

Explain briefly what this graph tells you about the arrival times of trains.

1M

The rest of this paper

6 more questions
  • Q2Sampling and Estimation7M
  • Q3Sampling and Estimation · Hypothesis Tests7M
  • Q4Linear Combinations of Random Variables8M
  • Q5Continuous Random Variables8M
  • Q6The Poisson Distribution · Linear Combinations of Random Variables8M
  • Q7Hypothesis Tests · The Poisson Distribution10M
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