Probability & Statistics 1 — Variant 3
A Level Mathematics · 9709/53 · Oct/Nov 2020
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 metres by members of a large swimming club have a normal distribution with mean seconds and standard deviation seconds.
1(a)
[3]
Find the probability that a randomly chosen member of the club takes between and seconds to swim metres.
1(b)
[3]
of the members of the club take more than minutes to swim metres. Find the value of .
5
The letters in the word RESERVED are arranged in a random order.
5(a)
[3]
Find the probability that the arrangement has as the first letter and as the last letter.
5(b)
[4]
Find the probability that the arrangement has both s together given that all three s are together.
Published by Cambridge Assessment International Education. Reproduced for study use.