Question: A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has

A store currently operates its service systemA store currently operates its service system

A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system. Arrival rate Service rate Number of servers 6 8 1 Utilization P(O), probability that the system is empty Lq, expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits 75.00% 0.2500 2.2500 3.0000 0.3750 0.5000 0.7500 How many customers will be in the store on average at any one time? a. 0.375 b. 0.50 c. 2.25 d. 3.00 . What is the expected time the customer will be serviced? a. 0.750 b. 0.125 c. 0.500 d. 0.375 . If the store adds an additional server to its system, what happens to a customer's average service time? a. increases b. decreases c. it is unchanged d. depends on the arrival rate

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