Let A(X) = E(| X E(X) |), the expected value of the absolute value of the

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Let A(X) = E(| X − E(X) |), the expected value of the absolute value of the deviation of X, where X is a random variable. Prove or disprove that A(X + Y) = A(X) + A(Y) for all random variables X and Y.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 03, 2016 01:45 AM

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Let A(X) = E(| X E(X) |), the expected value of the absolute value of the

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This is certainly not true if X and Y are not independent For exa...View the full answer

Discrete Mathematics and Its Applications

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