StudentAidProbability & Statistics 1 — Variant 2
A Level Mathematics · 9709/52 · Oct/Nov 2021
Questions
3 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.
4
4(a)
[2]
In how many different ways can the letters of the word TELESCOPE be arranged?
4(b)
[4]
In how many different ways can the letters of the word TELESCOPE be arranged so that there are exactly two letters between the and the ?
5
In a certain region, the probability that any given day in October is wet is , independently of other days.
5(a)
[3]
Find the probability that, in a -day period in October, fewer than days will be wet.
5(b)
[2]
Find the probability that the first wet day in October is 8 October.
5(c)
[2]
For randomly chosen years, find the probability that in exactly of these years the first wet day in October is 8 October.
6
The times taken, in minutes, to complete a particular task by employees at a large company are normally distributed with mean and standard deviation .
6(a)
[3]
Find the probability that a randomly chosen employee takes more than minutes to complete the task.
6(b)
[3]
of employees take longer than minutes to complete the task. Find the value of .
6(c)
[4]
Find the probability that the time taken to complete the task by a randomly chosen employee differs from the mean by less than minutes.
Published by Cambridge Assessment International Education. Reproduced for study use.