Let X be a continuous random variable symmetric about Y.Let Z = 1 if X >Y ORZ = 0 if X <= Y.Find the covariance of |X| and Z.

Given: Z=1 if X>Y OR Z=0 if X<=Y

Answered: Let X be a continuous random variable…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Let X be a continuous random variable symmetric about Y. Let Z = 1 if X>Y OR Z = 0 if X <= Y. Find the covariance of |X| and Z.