A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y

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A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y that has a normal distribution.

a. Find the values of p for which:

i. Approximating X by Y can be justified

ii. Var(Y) < 45.

b. Find the range of values of p for which both the approximation is justified and Var(Y) < 45.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 14, 2021 02:11 AM

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A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y

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Solution a 1 6 p 54 b 1 p6 p 53 37 X 6 3...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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