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Let X and Y be two random variables with joint density function 2, 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 23E

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Question

Let X and Y be two random variables with joint density function
2, 0<x < y < 1,
fx,y (x, y) =
0,
0.w.
Find E[Y|X = x] , E[X\Y = y] , E[X²IY = y] , and Var[X|Y = y]

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