A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour. Customers arrive every minute for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution.
-Use the information in Scenario C.1.What is the average number of people waiting in line and being seated?
A) 0.66
B) 1.00
C) 2.00
D) 3.00

Question

Quizplus · Accepted Answer

The arrival rate is 60 customers per hour (1 per minute), and the service rate is 90 customers per hour. Using the formula for the average number of people in the system (L) in an M/M/1 queue, L = λ / (μ - λ), where λ is the arrival rate and μ is the service rate, we get L = 60 / (90 - 60) = 2.00.

A Single Ticket Taker Can Tear Tickets and Direct Movie