5. Let X be a random variable that takes on 5 possible values with respective probabilities .35,...

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5. Let X be a random variable that takes on 5 possible values with respective probabilities .35, 2, 2, 2, 05. Also, let Y be a random variable that takes on 5 possible values with respective probabilities .05, .35, .1, .15, 35.

(a) Show that H(X) > H(Y).

(b) Using the result of Problem 13, give an intuitive explanation for the preceding inequality.

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A First Course In Probability

ISBN: 9780137463145

5th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 07, 2024 07:00 AM

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5. Let X be a random variable that takes on 5 possible values with respective probabilities .35,...

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A First Course In Probability

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