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Learn/ A Level Mathematics/ Past Papers/ 2021/ Oct/Nov 2021 /Paper 6 (Variant 1)

Probability & Statistics 2 — Variant 1

A Level Mathematics · 9709/61 · Oct/Nov 2021

Question Paper

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Mark Scheme

PDF · 306 KB · 11 pages

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Questions

1 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
It is known that the height HH, in metres, of trees of a certain kind has the distribution N(12.5,10.24)\mathrm{N}(12.5, 10.24). A scientist takes a random sample of 2525 trees of this kind and finds the sample mean, Hˉ\bar{H}, of the heights.
1(a) [2]
State the distribution of Hˉ\bar{H}, giving the values of any parameters.
1(b) [3]
Find P(12<Hˉ<13)\mathrm{P}(12 < \bar{H} < 13).

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