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Suppose the number of patients in Hospital A has a Poisson distribution with mean 3, the number of patients in Hospital 13 has a Poisson

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Suppose the number of patients in Hospital A has a Poisson distribution with mean 3, the number of patients in Hospital 13 has a Poisson distribution with mean 4, and the numbers of patients in these two hospitals are independent. Given that the total number of patients from these two hospitals is 5, nd the conditional probability that there are two patients in Hospital A

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