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Random Variablesmedium
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A discrete random variable XXX has P(X=k)=(1/2)kP(X=k) = (1/2)^kP(X=k)=(1/2)k for k=1,2,…k=1, 2, \dotsk=1,2,…. What is the entropy H(X)H(X)H(X) in bits?