Problem 1: Customers arrive at a bakery at an average rate of 18 customer per hour on weekday mornings. The arrival distribution can be described by a Poisson distribution with a mean of 18. Each clerk can serve a customer in an average of three minutes; this time can be described by an exponential distribution with a mean of 3.0 minutes. a) What are the arrival and service rates? b) Compute the average number of customers being served at any time. c) Compute the average number of customers in the system (i.e., waiting in line or being served), the average time customers wait in the line, and the average time in the system.