# Question

The joint probability density function of X and Y is given by

f (x, y) = 6/7(x2 + xy/2) 0 < x < 1, 0 < y < 2

(a) Compute the density function of X.

(b) Find P{X > Y}.

(c) Find P{Y > 1/2|X < 1/2}.

f (x, y) = 6/7(x2 + xy/2) 0 < x < 1, 0 < y < 2

(a) Compute the density function of X.

(b) Find P{X > Y}.

(c) Find P{Y > 1/2|X < 1/2}.

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