Scenario B.1
A single volunteer octogenarian usher can scan tickets with a handheld device and direct theater patrons to their seats at a rate of 30 per hour with an accuracy rate approaching 23%. On average, about twenty-five customers arrive every hour 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.
-How busy is the octogenarian usher described in Scenario B.1?
A) 74% busy
B) 83% busy
C) 91% busy
D) 100% busy

Question

Quizplus · Accepted Answer

The arrival rate is governed by the Poisson distribution with an average of 25 customers per hour. The service rate is governed by the exponential distribution with a rate of 30 customers per hour. Therefore, the utilization rate of the octogenarian usher is:

utilization = arrival rate/service rate = 25/30 = 0.8333

This means that the octogenarian usher is 83% busy. Therefore, the answer is B.

Scenario B.1 a Single Volunteer Octogenarian Usher Can Scan Tickets with a with a Handheld