Prove that if can take on any of possible values with respective probabilities P 1 , , P n , then H(X) is maximized when Pi 1 n, i 1, , n What is H(X) equal to in this case ...

The entropy of a discrete random variable X with possible outcomes x1 x2 xn and respective probabili ...

Prove that if can take on any of possible values with respective probabilities P 1 , ...,

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Prove that if can take on any of possible values with respective probabilities P₁, ..., P_n, then H(X) is maximized when Pi = 1/n, i = 1, ... , n. What is H(X) equal to in this case?

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A First Course In Probability

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Authors: Sheldon Ross

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Prove that if can take on any of possible values with respective probabilities P 1 , ...,

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