Problem 1. Consider a joint PDF for X and Y given by: JCx/y2 if 1≤ y ≤2x ≤4 fxy(x,y) = ૨૦ (a) What value of C makes this a valid joint PDF? (b) Calculate the marginal PDF of Y. (c) Calculate the conditional PDF of X given Y = 2. otherwise Problem 2. Suppose X is a random variable with a Uniform (4,5) distribution. Let Y = In(X). What is the PDF of Y?

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