Hassam asked · 2 years 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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