4. Let X and Y be continuous random variables with joint pdf (6-x-y) 0

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4. Let X and Y be continuous random variables with joint pdf
(6-x-y)
0<x< 2, 2 < y< 4
f(x, y) ={8
elsewhere
(1) Find marginal density of X.
(2) Find conditional density of Y on X.
(3) Find P(2<Y < 3|x 1).
Transcribed Image Text:4. Let X and Y be continuous random variables with joint pdf (6-x-y) 0<x< 2, 2 < y< 4 f(x, y) ={8 elsewhere (1) Find marginal density of X. (2) Find conditional density of Y on X. (3) Find P(2<Y < 3|x 1).
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