Using the following random number sequence: 92, 44, 15, 97, 21, 80, 38, 64, 74, 08, estimate the average customer waiting time, average idle time of the assistant, and the average time a car spends in the system
George Pourbabaee owns a gas station. The cars arrive at the gas station according to the following inter-arrival time distribution. The time to service a car is given by the following service time distribution.
Interarrival time (in minutes) P(X) Random Numbers Service Time (in minutes) P (X) Random Numbers
4 .35 00-34 2 .30 00-29
7 .25 35-59 4 .40 30-69
10 .30 60-89 6 .20 70-89
20 .10 90-99 8 .10 90-99
Answer: Average idle time: 23/5 = 4.6 minutes
Average waiting time = 7/5 = 1.4 minutes
Average time in the system = 6.2 minutes
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