Consider a triangle S in the plane with vertices at (0, 0), (1, 0), and (1, 1). Let (X, Y) be a pair of continuous random variables chosen using the uniform distribution over S; that is Calculate E[X|Y = 1/2]. ○ 1/4 01/3 01/2 2/3 3/4 1 fx,y (x, y) = Area(S)' 0, (x, y) = S otherwise.

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