When customers arrive at Gilleys Ice Cream Shop, they take a number and wait to be called

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When customers arrive at Gilley’s Ice Cream Shop, they take a number and wait to be called to purchase ice cream from one of the counter servers. From experience in past summers, the store’s staff knows that customers arrive at the rate of 35 per hour (Poisson distributed) on summer days between 3:00 P.M. and 10:00 P.M. and a server can serve 15 customers per hour on average (Poisson distributed). Gilley’s wants to make sure that customers wait no longer than 5 minutes for service. Gilley’s is contemplating keeping three servers behind the ice cream counter during the peak summer hours. Will this number be adequate to meet the waiting time policy?

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