38 A local bank has a single drive-through window with arrival times and service times that follow the distributions from the following table:

TIME BETWEEN ARRIVALS

(min.)

PROBABILITY SERVICE TIME

(min.)

PROBABILITY 1 0.15 1 0.15 2 0.24 2 0.35 3 0.27 3 0.22 4 0.22 4 0.28 5 0.12 Simulate the arrival of 200 customers to compute each of the following measures:

(a) average time a customer waits for service,

(b) average time a customer is in the system (wait plus service time), and

(c) percentage of time the server is busy with customers. Replicate each measure N times to compute the average.