Let X and Y be continuous random variables with a joint probability density function (pdf) ofthe formf(x,y) = (k(x+y), 0≤x≤ysielsewhereFind:a) Show that the value of k = 2 so that f(x,y) is a joint pdf.b) the marginal of X and Y.c) the joint cumulative density function (CDF), F(x, y).d) the conditional pdf of Y given X.e) E(Y|X = -1)

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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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