Let X and Y have the joint pdf, 0 < x < 1,0 < y < 1 f(2.9) = { 6, x + Y, f (x, y) = otherwise (a) Find the marginals of X and Y. (b) Find P(X =}). (c) Find P(X +Y < 1).
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- a) Find the marginal pmfs of X and Y b) Find the conditional pmf of X given Y = 1Let X and Y have the joint PDF f(x,y) = 2e−x−y for 0<x<y<∞. Find the joint PDF of Z = 2X and W = Y − X, as well as the two marginal PDFs.If f is a function of x and y such that fxy and fyx are continuous, what is the relationship between the mixed partial derivatives?