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Assuming X and Y are discrete random variables, X takes value from the set A =...

Assuming X and Y are discrete random variables, X takes value from the set A = {x1, x2, x3, …, xm},and Y takes value from set B = {y1, y2, y3, …, yn}, please answer the following questions

1. If H(X,Y) = H(X) + H(Y), what is the relationship between X and Y?

2. If I(X,Y) = 0, what is the relationship between X and Y?

3. If I(X;Y) = H(X) = H(Y), what is the relationship between X and Y?

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