Let X and Y be continuous random variables with a joint probability density function (pdf) of the form f(x,y) = {k(x + (k(x+y), 0≤x≤ y ≤1 elsewhere Find: 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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