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Suppose that has a beta distribution with parameters (a, b), and that the conditional distribution of given that X =

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Suppose that has a beta distribution with parameters (a, b), and that the conditional distribution of given that X = x is binomial with parameters (n + m, x). Show that the conditional density of x given that N = n is the density of a beta random variable with parameters (n + a, m + b). N is said to be a beta binomial random variable.

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The conditional density of x given that N n is given by f x N n n m n m b x n m 1 x m b B n a m b wh…View the full answer


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A First Course In Probability

A First Course In Probability

ISBN: 9780134753119

10th Edition

Authors: Sheldon Ross

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Question Details
Chapter # 6
Section: Theoretical Exercises
Problem: 38
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Question Posted: September 09, 2021 03:09:12
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