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Finding the Conditional Distribution of X and Y with Given Z = z

Let X.Y,Z have a joint pdf f(x,y,z)= 2(x+y+z)/3, 0<x<1, 0<y<1, 0<z<1, 0 elsewhere.
Find the conditional distribution of X and Y given Z=z, and compute E(X+y|z).

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The solution gives a step-by-step explanation of how to find the conditional distribution of X and Y given Z=z and computing E(X + y|z).

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