17. Suppose that an experiment can result in one of r possible outcomes, the ith outcome having...
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17. Suppose that an experiment can result in one of r possible outcomes, the ith outcome having probabilityI mage,I mage. If n of these experiments are performed, and if the outcome of any one of the n does not affect the outcome of the other experiments, then show that the probability that the first outcome appearsI mage times, the second times, and the rthI mage times is This is known as the multinomial distribution.
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