A Professor Is Holding Office Hours for a Class of 15

question 8

Essay

A professor is holding office hours for a class of 15 students.Each student arrives on average once per hour.The arrival process follows a Poisson distribution.The time the professor spends with each student follows an exponential distribution with an average of 5 minutes.(Assume that each student may seek help and may decide to make multiple trips to the professor's office. )Answer the questions below.
a.How many students are waiting to see the professor on average?
b.What is the average waiting time in the queue?
c.What is the average wait in the system?

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Definitions:

Ward System

A system of electoral division or administrative unit, used in some cities for elections or organizational purposes.

At Large

A term used to describe a method of representation where officials are elected to serve the whole jurisdiction rather than a specific district within the jurisdiction.

Primaries

Preliminary elections in which members of a political party vote to choose their party's candidate for a major upcoming election.

Term Limits

Restrictions on the number of terms an officeholder may serve in a particular elected position.