Customers arrive at a ticket counter at the rate of 50 customers per hour, according to a Poisson distribution. There are three ticket agents. Customers select the first available agent from one line. Each agent can process 20 customers per hour with exponential service times.
-Use the information in Scenario C.4.What is the average number of customers waiting in line for service?
A) Fewer than or equal to four
B) Greater than four but fewer than or equal to 4.5
C) Greater than 4.5 but fewer than or equal to five
D) Greater than five

Question

Quizplus · Accepted Answer

The average number of customers waiting in line for service is less than or equal to four. This is because the arrival rate is 50 customers per hour and the service rate is 60 customers per hour. Therefore, the average number of customers in the system is 50/60 = 5/6, which is less than or equal to four.

Customers Arrive at a Ticket Counter at the Rate of 50