Solve in detial please. Thank you 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).

Answered: Image /qna-images/answer/12aadf92-299f-4843-947a-5a3d806d380c.jpg

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).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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Question

Solve in detial please. Thank you

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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