4. Let -1 ≤ x ≤ 1 be a continuous random variable with density (pdf) given by 1- x 2 fx(x) = (a) Let Y = |X|. Find the range of Y and a formula for the density fy(y). (b) Let Z = X². Find the range of Z and a formula for the density fz(z).
4. Let -1 ≤ x ≤ 1 be a continuous random variable with density (pdf) given by 1- x 2 fx(x) = (a) Let Y = |X|. Find the range of Y and a formula for the density fy(y). (b) Let Z = X². Find the range of Z and a formula for the density fz(z).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:4. Let -1 ≤X ≤ 1 be a continuous random variable with density (pdf) given by
)=12*
fx(x)=
(a) Let Y = |X|. Find the range of Y and a formula for the density fy(y).
(b) Let Z = X². Find the range of Z and a formula for the density fz(z).
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