A Professor Sits in His Plush Office and Patiently Answers

question 97

Essay

A professor sits in his plush office and patiently answers questions from his students the afternoon before the final exam.His class is a mass lecture of 350 students,so he keeps socialization to a minimum and concentrates on providing explanations as quickly as possible.On average,he can answer 60 questions an hour and students arrive at his office every five minutes.Student arrivals are Poisson distributed,each student has only one question and answer times are exponentially distributed.
a.What fraction of his time is the professor spending answering questions?
b.What is the average number of students waiting outside his office?
c.What is the average time a student spends in line outside the professor's office?

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Definitions:

Persistence

The quality of continuing steadfastly or firmly in some state, purpose, or course of action, in spite of opposition.

Allowing Failure

The concept of permitting mistakes or setbacks as a necessary part of the learning process or path to success.

Survey Design

The process of creating a survey to collect data on specific topics, ensuring questions are structured effectively to gather accurate responses.

Nutrition Program

A structured plan of eating and drinking where quantities, menus, and/or diets are tailored to achieve specific health or fitness goals.