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Asked Dec 7, 2019
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For this question i am stuck on P(X>Y) for the conditional probability 

Suppose the joint density of (X,Y) is given by
(a2 + y) 0<< x < 1,0 < y < 2
f(x, y) =
otherwise.
a) Compute P(X >} | X > Y).
P(x>y)
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Suppose the joint density of (X,Y) is given by (a2 + y) 0<< x < 1,0 < y < 2 f(x, y) = otherwise. a) Compute P(X >} | X > Y). P(x>y)

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Expert Answer

Step 1

From the given information, the joint density function for X and Y is,

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3 f (x. y) =(x* + y).0sxs1, 0< ys2. P(x >y)= P(y<x) -jreman = [[f (x,y)dxdy 00 (x² +y)dxdy dx 3 dx 2 3 x 8 4 = 0.1563 +

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Step 2
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= [[f (x,y)dxdy f(+y)dxdy (r. 3 x²y+ dx dx 8 4 = 0.1426 %3!

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