A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A continuous random variable X has density function f(x) = 1.5(1-x²), 0≤x≤ 1. a) Calculate the standard deviation of X. 0.2437 b) Calculate the standard deviation of Y = -1X +8. 0.5 X
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Transcribed Image Text:A continuous random variable X has density function f(x) = 1.5(1-x²), 0≤x≤ 1. a) Calculate the standard deviation of X. 0.2437 b) Calculate the standard deviation of Y = -1X +8. 0.5 X
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Step 1: Define the given data

From the information, given that

The pdf of X is,

Probability homework question answer, step 1, image 1

Also given that from the part(a), the standard deviation of X is 0.2437.

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