Joint distributions for X, Y, and Z: Y=0 Y=1 Y=0 Y=1 X=0 0.125 0.125 0.405 0.045 X=1 0.125 0.125 0.045 0.405 Z=0 Z=1 a) Find conditional distribution of X and Y given Z=0 b) Find conditional distribution of X and Y given Z=1 c) Show that X and Y are independent given Z d) Find the marginal distribution of X and Y e) Show that X and Y are not marginally independent

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A: Let's solve.

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