Suppose the pdf fx(x) of a random variable X is an even function. (fx(x) is an even

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Suppose the pdf fx(x) of a random variable X is an even function. (fx(x) is an even function if fx(x) = fx(-x) for every x.) Show that
(a) X and -X are identically distributed.
(b) Mx(t) is symmetric about 0.
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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