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For positive constants and a pair of random variables has

For positive constants and, a pair of random variables has a joint PDF specified by .

Fx, y (x, y) = abe-(ax = by) u (x) u (y)

(a) Find the joint CDF, Fx, y (x, y).

(b) Find the marginal PDFs, fx (x) and fy (y).

(c) Find Pr (X > Y).

(d) Find Pr (X > Y2).

Fx, y (x, y) = abe-(ax = by) u (x) u (y)

(a) Find the joint CDF, Fx, y (x, y).

(b) Find the marginal PDFs, fx (x) and fy (y).

(c) Find Pr (X > Y).

(d) Find Pr (X > Y2).

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