Question: 5. [25 pts.] Suppose the random vector (X, Y) has the PDF fo(z, y) = (Ur+ y')e-I-y 24 + 40 + 202 0 0 is

5. [25 pts.] Suppose the random vector (X, Y) has the PDF fo(z, y) = (Ur+ y')e-I-y 24 + 40 + 202 0 0 is a real parameter. Hint: the theorem associated with the gamma distribution (brand name distributions handout). (a) Find the conditional PDF of X given Y. (b) Find the conditional expectation of X given Y

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