Probability & Statistics 1 — Variant 2
A Level Mathematics · 9709/52 · Oct/Nov 2022
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.
2
The lengths of the rods produced by a company are normally distributed with mean mm and standard deviation mm.
2(a)
[4]
In a random sample of of these rods, how many would you expect to have length less than mm?
2(b)
[3]
Find the probability that a randomly chosen rod produced by this company has a length that is within half a standard deviation of the mean.
3
Three fair -sided dice, each with faces marked , are thrown at the same time repeatedly. The score on each throw is the sum of the numbers on the uppermost faces.
3(a)
[3]
Find the probability that a score of or more is first obtained on the th throw.
3(b)
[2]
Find the probability that a score of or more is obtained in fewer than throws.
Published by Cambridge Assessment International Education. Reproduced for study use.