Let X be a continuous random variable with pdf f(x). Suppose f(x) is symmetric about a; i.e.,
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Let X be a continuous random variable with pdf f(x). Suppose f(x) is symmetric about a; i.e., f(x − a) = f(−(x − a)). Show that the random variables X − a and −(X − a) have the same pdf.
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Proof that the random variables X a and X a have the same pdf Since a was arbitrary we have that ...View the full answer
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Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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