(Answered) The vice president of a bank wishes to provide banking

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The vice president of a bank wishes to provide banking services so that the probability of the number of waiting customers being greater than 8 is less than .07. The vice president of a bank wishes to provide banking services so that the probability of the number of waiting customers being greater than 8 is less than .07. Would this condition be satisfied if the number of waiting customers is a Poisson random variable with a mean of 5? Justify your answer with appropriate calculations.

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