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Exclusive and exhaustive event

Let n independent trials of an experiment be such that  are the respective numbers of times that the experiment ends in the mutually exclusive and exhaustive event is constant throughout the n trials, then the probability of that particular sequence of trials is 

Theorem 6.5.1 says that the right-hand member of this last equation defines a statistic that has an approximate chi-square distribution with k − 1 degrees of freedom. Note that

Theorem 6.5.1

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