A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Chapter 9, Problem 9.13PTE

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

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