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2. Let f(x) be the PDF of some random variable X. f is said to be...

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2. Let f(x) be the PDF of some random variable X. f is said to be symmetric about a number a if for all > 0, f(a - ) = (a + ). (a) Show that if f(x) is symmetric around a number a, then the median of X is a. (b) Show that if f(x) is symmetric around a number a and E[X] exists, then E[X] : a. = 2. Let f(x) be the PDF of some random variable X. f is said to be symmetric about a number a if for all > 0, f(a - ) = (a + ). (a) Show that if f(x) is symmetric around a number a, then the median of X is a. (b) Show that if f(x) is symmetric around a number a and E[X] exists, then E[X] : a. =

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Statistical Inference

Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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