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9709/72

Mathematics 9709/72 — May/June 2013

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

6
questions
50
marks
75
minutes

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

Q1The Poisson DistributionFree sample

It is known that 1.2% of rods made by a certain machine are bent. The random variable XX denotes the number of bent rods in a random sample of 400 rods.

(i)

State the distribution of XX.

2M
(ii)

State, with a reason, a suitable approximate distribution for XX.

2M
(iii)

Use your approximate distribution to find the probability that the sample will include more than 2 bent rods.

2M

The rest of this paper

5 more questions
  • Q2Continuous Random Variables7M
  • Q3Hypothesis Tests7M
  • Q4Sampling and Estimation8M
  • Q5Linear Combinations of Random Variables10M
  • Q6The Poisson Distribution · Hypothesis Tests · Linear Combinations of Random Variables12M
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