A suburban specialty restaurant has developed a single drive-thru window.Customers order,pay,and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution.If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes,how much time will elapse (in hours)from the time a customer enters the line until he/she leaves the restaurant?
A)0.50
B)0.25
C)0.75
D)2.25
E)3.00

Question

Quizplus · Accepted Answer

The average arrival rate (λ) is 6 customers per hour, and the service rate (μ) is 2 every 15 minutes, which is 8 per hour. The average time a customer spends in the system (W) is given by 1/(μ - λ) = 1/(8 - 6) = 0.5 hours.

A Suburban Specialty Restaurant Has Developed a Single Drive-Thru Window