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

## Question:

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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Chapter #

**6**Section: Theoretical Exercises

Problem: 38

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