Probability & Statistics 1 — Variant 3

A Level Mathematics · 9709/53 · Oct/Nov 2020

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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
The times taken to swim 100100 metres by members of a large swimming club have a normal distribution with mean 6262 seconds and standard deviation 55 seconds.
1(a) [3]
Find the probability that a randomly chosen member of the club takes between 5656 and 6666 seconds to swim 100100 metres.
1(b) [3]
13%13\% of the members of the club take more than tt minutes to swim 100100 metres. Find the value of tt.
5
The 88 letters in the word RESERVED are arranged in a random order.
5(a) [3]
Find the probability that the arrangement has VV as the first letter and EE as the last letter.
5(b) [4]
Find the probability that the arrangement has both RRs together given that all three EEs are together.

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