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:

Computer

An electronic device designed to accept data, perform prescribed mathematical and logical operations at high speed, and display the results of these operations.

Grid Computing

A type of distributed computing where a virtual supercomputer is composed of a cluster of networked, loosely-coupled computers, working together to perform large tasks.

Distributed Computing

A computing paradigm that divides a problem into multiple components that are solved by different computers connected by a network, working together to achieve a common goal.

Desktop

A computer's primary user interface that allows for the organization and easy access to applications and files.