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 number of customers in line?
A) Fewer than or equal to 2.0
B) Greater than 2.0 but fewer than or equal to 3.0
C) Greater than 3.0 but fewer than or equal to 4.0
D) Greater than 4.0

Question

Quizplus · Accepted Answer

The average number of customers in line is given by L = (λ^2)/(μ(μ-λ)). Substituting the given values, we get L = (45^2)/(20(20-45)) = 2.0.

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