Two continuous random variables X and Y have joint probability density function equal to (3 ce-1.5e-2y, 0< x≤y fxy(x, y) = 0, otherwise. (a) Find the value of c so that fxy(x, y) is a proper pdf; (b) Find the marginal probability density function fx(x); (c) Find the conditional probability density function fy|x(y|x = xo); (d) Find the mgf of Y|X, My x (tX = x), specifying the support.

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