Consider the random variable X with density function f (x) =x2 for – 1 < x < 1 (and zer %D for all other values of X). Determine the density function of the transformed random variable Y = X?. Зу/2 (3/2)*y^(1/2) O y^(1/2)

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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Question 5
Consider the random variable X with density function f (x) = ÷ x² for – 1< x < 1 (and zero
-
for all other values of X). Determine the density function of the transformed random variable
Y = X².
Зу/2
(3/2)*y^(1/2)
O y^(1/2)
Transcribed Image Text:Question 5 Consider the random variable X with density function f (x) = ÷ x² for – 1< x < 1 (and zero - for all other values of X). Determine the density function of the transformed random variable Y = X². Зу/2 (3/2)*y^(1/2) O y^(1/2)
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