Question: Problem 5.66 Let X, Y have joint density function given by f(x, y) = 3 5 xy + y2 , 0 x 2,

Problem 5.66 Let X, Y have joint density function given by f(x, y) = 3 5 xy + y2 , 0 ≤ x ≤ 2, 0 ≤ y ≤ 1 f(x, y)=0, elsewhere. Compute:

(a) P(Y < 1/2|X < 1/2).

(b) f(y|x).

(c) E(Y |X = x).

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