Hassam asked · 3 months ago

Solve this urgent.

Two random variables X and Y have joint cdf given by:

FX,Y (x, y) =





0, x < 0, y < 0

x, 0 ≤ x ≤ 1, y > 1

y, x > 1, 0 ≤ y ≤ 1

xy, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

1, x > 1, y > 1.

(a) Find the joint pdf fX,Y (x, y).

(b) Find the marginal cdf FX(x) and FY (y).

(c) Find P(X < 3/4) and P(1/4 < X < 1/2, 1/2 < Y < 1).

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