Let X be a random variable with a probability density function given by £x(x) = {{ 0, Let Y = X². ², for-1
Let X be a random variable with a probability density function given by £x(x) = {{ 0, Let Y = X². ², for-1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Transcribed Image Text:Let X be a random variable with a probability density function given by
for-1 < x < 2;
otherwise.
Let Y = X².
£x (x) = { 0,
²,
(a) Find the probability density function of Y using the distribution function method.
(b) Find the probability density function of Y using the change of variable method.
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