Problem 3 Let X be a Uniform(-2, 2) continuous random variable. We define Y = g(X), where the function g(x) is defined as 1 x > 1 9(x). 0 < x < 1 otherwise Find the CDF and PDF of Y.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Probability.
Problem 3
Let X be a Uniform(-2, 2) continuous random variable. We define Y = g(X), where the
function g(æ) is defined as
1
x > 1
9(x).
0 < x < 1
otherwise
Find the CDF and PDF of Y.
Transcribed Image Text:Problem 3 Let X be a Uniform(-2, 2) continuous random variable. We define Y = g(X), where the function g(æ) is defined as 1 x > 1 9(x). 0 < x < 1 otherwise Find the CDF and PDF of Y.
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