The Department Chair Is Out of Town at a Conference

Multiple Choice

The department chair is out of town at a conference and you, as the assistant department chair, find yourself besieged by dozens of students needing permission to get into a very popular (but closed) class. Student arrivals are governed by the Poisson distribution with a mean of 5 minutes. Telling the students that they can't get into the closed class takes about 3 minutes, and this average is exponentially distributed. About how long does it take a student to wait in line and receive your valuable service?

A) 0.125 minutes
B) 0.075 hours
C) 4.5 minutes
D) 7.5 minutes