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 10 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 many students are waiting outside your office door?

A) 0.13 students
B) 0.43 students
C) 1.25 students
D) 2.25 students