Probability & Statistics 2 — Variant 1

A Level Mathematics · 9709/61 · Oct/Nov 2020

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Questions

1 of 6 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.

3 [6]
The masses, in kilograms, of female and male animals of a certain species have the distributions N(102,272)\mathrm{N}(102, 27^{2}) and N(170,552)\mathrm{N}(170, 55^{2}) respectively. Find the probability that a randomly chosen female has a mass that is less than half the mass of a randomly chosen male.

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