Let the joint density function of (X,Y) be: f(x,y) = (x+y) / 4, 0 < x < y < 2. a) Find fX|Y(x|y). b) Compute the conditional probabilities P(X < 1/2 | Y = 1) and P(X < 3/2

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Let the joint density function of (X,Y) be:

f(x,y) = (x+y) / 4, 0 < x < y < 2.

a) Find fX|Y(x|y).

b) Compute the conditional probabilities P(X < 1/2 | Y = 1) and P(X < 3/2 | Y = 1).

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