Question: (M/M/1) model - use the qtsPlus or other software to answer the questions. In a grocery store, there is one cashier. Customers arrive at the

(M/M/1) model - use the qtsPlus or other software to answer the questions. In a grocery store, there is one cashier. Customers arrive at the cashier counter according to a Poisson process. The arrival rate is 18 customers per an hour. Customers are served in order of arrival (FCFS: first come first service). The service time (i.e. the time needed for scanning the items and processing payment) is exponentially distributed. The mean service time is 3 minutes.

A) Once you arrived at the cashier counter, on average, how many customers are waiting in the queue?

B) Once you arrived at the cashier counter, on average, how long should you wait in the queue?

C) Once you arrived at the cashier counter, on average, how long should it take to complete the service?

D) What is the cashiers utilization rate?

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