Question: Let be a random variable with different outcomes X = {1, 2, , } and corresponding nonzero probabilities {1, 2, , } arranged in decreasing

Let be a random variable with different outcomes X = {1, 2, , } and corresponding nonzero probabilities {1, 2, , } arranged in decreasing order. Now define a new random variable Y with m+1 different outcomes { 1 3 , 2 3 , , 1 3 , 3 , 2 3 }. Find the entropy of () in terms of ()

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