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,what is the average number of customers in the system?
A)0.50
B)4.00
C)2.25
D)3.00
E)None of the above

Question

Quizplus · Accepted Answer

The 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 number of customers in the system (L) for an M/M/1 queue is given by L = λ / (μ - λ) = 6 / (8 - 6) = 3.00.

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