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.