Question: For discrete random variable X, Y, and Z, prove that: (a) H(X, Y ) = H(X) + H(Y |X). (b) H(X, Y |Z) H(X|Z).

For discrete random variable X, Y, and Z, prove that:

(a) H(X, Y ) = H(X) + H(Y |X).

(b) H(X, Y |Z) H(X|Z).

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