25. If X is a beta random variable with parameters a and b show that $$E[X] =...

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25. If X is a beta random variable with parameters a and b show that

$$E[X] = \frac{a}{a + b}$$

$$Var(X) = \frac{ab}{(a + b)^2(a + b + 1)}$$

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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 05:02 AM

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25. If X is a beta random variable with parameters a and b show that $$E[X] =...

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A First Course In Probability

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