Mathematics 9709/53 — October/November 2020
Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme
7
questions
50
marks
75
minutes
Topics Discrete Random Variables · The Normal Distribution · Permutations and Combinations · Probability · Representation of Data
Q1The Normal DistributionFree sample
The times taken to swim 100 metres by members of a large swimming club have a normal distribution with mean 62 seconds and standard deviation 5 seconds.
(a)3M
Find the probability that a randomly chosen member of the club takes between 56 and 66 seconds to swim 100 metres.
(b)3M
13% of the members of the club take more than minutes to swim 100 metres. Find the value of .
The rest of this paper
6 more questions- Q2Discrete Random Variables5M
- Q3Permutations and Combinations6M
- Q4Discrete Random Variables · The Normal Distribution8M
- Q5Permutations and Combinations · Probability7M
- Q6Probability · Discrete Random Variables8M
- Q7Representation of Data10M
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