Please help me with questions a, b, c, and d. Appreciate it if you could solve these with a proper explanation. So that I can understand how to do them. Thank you.

Please consider a' = 0 and b' = 0

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2. Consider the joint distribution below ( Note: a' = 0 and b' = 0 ): P(X = x, Y =y) Y=-1 Y=0 Y=1 P(X =x) + a=0 X =0 3-a' 4 2+a' b' = 0 32 32 32 X =1 5-b' 4 5 32 32 32 X = 2 0 4 5+b' 32 32 P( Y = y) + Find (fully justify your computations showing all steps; Obtain both answers in terms of logarithms and numerical approximations): a H( Y). b) H( X Y = 0 ). C) Is H(XY = 0)