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, …, x_m}，and Y takes value from set B = {y₁, y₂, y₃, …, y_n}, 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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orchestra answered 1 year ago

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