Wally's Filling Station is manned by one capable attendant that can fill your tank and check your tires, oil, and water in 5 minutes. If four customers arrive each hour, and the service and arrival rates are governed by the Poisson distribution, what is the utilization of the attendant?
A)0.33
B)0.50
C)0.66
D)0.80

Question

Quizplus · Accepted Answer

The utilization of the attendant is the ratio of the average service time to the average interarrival time. The average service time is 5 minutes, and the average interarrival time is 15 minutes (since four customers arrive each hour). Therefore, the utilization of the attendant is 5/15 = 0.33.

Wally's Filling Station Is Manned by One Capable Attendant That