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10. Suppose that the probability of a bank making a mistake in processing a deposit is...

10. Suppose that the probability of a bank making a mistake in processing a deposit is .002.

  1. (a) If 5,000 deposits are audited, what is the probability that the number of mistakes that were made was no more than one? Calculate this probability directly, without using a Poisson approximation.

  2. (b) If it is appropriate to do so, use a Poisson approximation to calculate the same probability you calculated in part (a). If it is not appropriate to do so, explain why not.

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