Question: Q2.10 Show that any two random variables X and Y are independent if and only if any one of the following equations holds: H(X,Y) =

Q2.10 Show that any two random variables X and Y are independent if and only if any one of the following equations holds:

H(X,Y) = H(X) + H(Y) H(XY) = H(X) H(Y|X) = H(Y)

H(X,Y) = H(X) + H(Y) H(XY) = H(X) H(Y|X) = H(Y)

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