In each of the following find the pdf of Y and show that the pdf integrates to

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In each of the following find the pdf of Y and show that the pdf integrates to 1.
(a) fx(x) = 1/2e-|x|, -∞ < x < ∞; Y = |X|3
(b) fx(x) = 3/8(x + l)2, -1 < x < 1; Y = 1 - x2
(c) fx(x) = 3/8(x+ l)2, -1 < x < 1; Y = 1 - X2 if X ≤ 0 and Y = 1 - X if X > 0
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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