(Multinomial distribution) Suppose a trial can result in
Chapter 24, Problem 24.7(choose chapter or problem)
(Multinomial distribution) Suppose a trial can result in precisely one of k mutually exclusive events Ab ... , Ak with probabilities PI' . , Pk' respectively, where PI + ... + Pk = 1. Suppose that /I independent trials are performed. Show that the probability of getting Xl AI's, .. , Xk Ak's is where 0 ~ Xj ~ II, j = I, ... , k. and Xl + ... + Xk = 11. The distribution having this probability function is called the lIlultinomialdistribution.
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