In each of the following find the pdf of Y. Show that the pdf integrates to 1.

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In each of the following find the pdf of Y. Show that the pdf integrates to 1.
(a) Y = X3 and fx{x) = 42x5(l - x), 0 < x < 1
(b) Y = 4X + 3 and fx(x) = 7e-7x, 0 < x < ∞
(c) Y = X2 and fx(x) - 30x2(l - x)2, 0 < x < 1 (See Example A.0.2 in Appendix A.)
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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