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Learn/ A Level Mathematics/ Past Papers/ 2021/ Oct/Nov 2021 /Paper 5 (Variant 3)

Probability & Statistics 1 — Variant 3

A Level Mathematics · 9709/53 · Oct/Nov 2021

Question Paper

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Mark Scheme

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Questions

2 of 7 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

1 [2]
The 26 members of the local sports club include Mr and Mrs Khan and their son Abad. The club is holding a party to celebrate Abad’s birthday, but there is only room for 20 people to attend. In how many ways can the 20 people be chosen from the 26 members of the club, given that Mr and Mrs Khan and Abad must be included?
4
Raj wants to improve his fitness, so every day he goes for a run. The times, in minutes, of his runs have a normal distribution with mean 41.241.2 and standard deviation 3.63.6.
4(a) [3]
Find the probability that on a randomly chosen day Raj runs for more than 43.243.2 minutes.
4(b) [2]
Find an estimate for the number of days in a year (365 days) on which Raj runs for less than 43.243.2 minutes.
4(c) [3]
On 95%95\% of days, Raj runs for more than tt minutes. Find the value of tt.

Published by Cambridge Assessment International Education. Reproduced for study use.