Question: Problem 4 Consider the function (for c > 0) f (x, y ) = 2 - 12), -c Problem 4 Consider the function (for c

Problem 4 Consider the function (for c > 0) 2 0, Ixl,

Problem 4 Consider the function (for c > 0) f (x, y ) = 2 - 12), -c

Problem 4 Consider the function (for c > 0) 2 0, Ixl, otherwise (a) (b) (c) (d) Find the constant c for which f (x, y) is the joint pdf of two random variables. Find the marginal pdf's fx(a;) and fy(y). Find Fxy(o, O) and FNY(1/2, 1). Are X and Y independent? Justify your answer.

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