Mathematics 9709/73 — May/June 2012
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 · Linear Combinations of Random Variables · Hypothesis Tests · The Poisson Distribution · Continuous Random Variables
Q1Sampling and EstimationFree sample
Leaves from a certain type of tree have lengths that are distributed with standard deviation 3.2 cm. A random sample of 250 of these leaves is taken and the mean length of this sample is found to be 12.5 cm.
(i)3M
Calculate a 99% confidence interval for the population mean length.
(ii)1M
Write down the probability that the whole of a 99% confidence interval will lie below the population mean.
The rest of this paper
6 more questions- Q2Linear Combinations of Random Variables5M
- Q3Sampling and Estimation6M
- Q4The Poisson Distribution · Linear Combinations of Random Variables8M
- Q5Hypothesis Tests8M
- Q6Hypothesis Tests9M
- Q7Continuous Random Variables10M
Loading the full paper…