4. The joint pdf of X and Y is given by [30xy², 0 fx.x(x, y) = (a) Find Fx,y (¹) (b) Are X and Y independent? (c) Find P(X>Y) for r-1

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4. The joint pdf of X and Y is given by
30.xy²,
fx,y (x, y) =
0
(a) Find Fx,y (1,1)
(b) Are X and Y independent?
(c) Find P(X> Y)
for x-1<y <1-x, and 0 ≤ x ≤ 1,
elsewhere.
Transcribed Image Text:4. The joint pdf of X and Y is given by 30.xy², fx,y (x, y) = 0 (a) Find Fx,y (1,1) (b) Are X and Y independent? (c) Find P(X> Y) for x-1<y <1-x, and 0 ≤ x ≤ 1, elsewhere.
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