Mathematics 9709/71 — May/June 2013
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
Q1Sampling and EstimationFree sample
Marie wants to choose one student at random from Anthea, Bill and Charlie. She throws two fair coins. If both coins show tails she will choose Anthea. If both coins show heads she will choose Bill. If the coins show one of each she will choose Charlie.
(i)2M
Explain why this is not a fair method for choosing the student.
(ii)2M
Describe how Marie could use the two coins to give a fair method for choosing the student.
The rest of this paper
6 more questions- Q2Hypothesis Tests5M
- Q3Linear Combinations of Random Variables5M
- Q4Sampling and Estimation8M
- Q5The Poisson Distribution9M
- Q6Continuous Random Variables9M
- Q7Hypothesis Tests · Sampling and Estimation10M
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