Recall that a r.v. X is said to be symmetric about 0, if X and -X have

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Recall that a r.v. X is said to be symmetric about 0, if X and -X have the same distribution. If X is symmetric (about 0), then show that 0 is a median of X; i.e., P(X ( 0) ( ½ and P(X ( 0) ( ½.

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An Introduction to Measure Theoretic Probability

ISBN: 978-0128000427

2nd edition

Authors: George G. Roussas

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Question Posted: Mar 25, 2016 03:21 AM

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Recall that a r.v. X is said to be symmetric about 0, if X and -X have

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By symmetry we have PX x P X x PX x 1 PX x 1 PX x For ...View the full answer

An Introduction to Measure Theoretic Probability

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