Customers arrive at the one remaining full-service gas station in the country at the rate of 45 per minute and are served by the first available of three pump jockeys who can dole out gas and check oil at the rate of 20 customers per minute. Both service and interarrival times are governed by the exponential distribution. The probability that no pump jockey is busy is 0.0748.
-Use the information in Scenario C.3.What is the average time a customer spends in the system?
A) Fewer than or equal to five seconds
B) Greater than five seconds but fewer than or equal to six seconds
C) Greater than six seconds but fewer than or equal to seven seconds
D) Greater than seven seconds

Question

Quizplus · Accepted Answer

The average time a customer spends in the system is the reciprocal of the arrival rate minus the service rate, or 1/(45-20) = 1/25 = 0.04 minutes, which is greater than five seconds but fewer than or equal to six seconds.

Customers Arrive at the One Remaining Full-Service Gas Station in the Country