Mathematics 9709/61 — May/June 2023
Cambridge A-Level · Probability & Statistics 2 · worked solutions for every part, with the mark scheme
7
questions
50
marks
75
minutes
Topics The Poisson Distribution · Hypothesis Tests · Sampling and Estimation · Linear Combinations of Random Variables · Continuous Random Variables
Q1The Poisson DistributionFree sample
In a certain country, 20 540 adults out of a population of 6 012 300 have a degree in medicine.
(a)4M
Use an approximating distribution to calculate the probability that, in a random sample of 1000 adults in this country, there will be fewer than 4 adults who have a degree in medicine.
(b)2M
Justify the approximating distribution used in part (a).
The rest of this paper
6 more questions- Q2Continuous Random Variables8M
- Q3Hypothesis Tests6M
- Q4Sampling and Estimation6M
- Q5Linear Combinations of Random Variables7M
- Q6Sampling and Estimation3M
- Q7Hypothesis Tests · The Poisson Distribution · Linear Combinations of Random Variables14M
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