Question: joint probability (pdf and cdf). The question is as below: Problem #4 (20 points) - Joint pdf And cdf Suppose that the joint pdf for

joint probability (pdf and cdf). The question is as below:

Problem #4 (20 points) - Joint pdf And cdf Suppose that the joint pdf for two randorn variables X and Y is given by f (I: y) = Ah? + 1;)2E'M'J'\") for (I: y) in the rst quadrant and zero everywhere else and A is a positive corrstant. a. (3 points) Determine the value of A. b (6 points) Determine the cdf function F(m, y). d (3 points) Determine E(X), EU\") and E(XY). -) -) e.) (6 points) Determine the marginal pdfs fX (3;) and fy (y). -) e.) (2 points) Are X and Y independent? Explain

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