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
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
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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
Expert Solution
Step 1: Define the given data
From the information, given that
The pdf of X is,
Also given that from the part(a), the standard deviation of X is 0.2437.
Step by step
Solved in 3 steps with 3 images
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