A Professor Sits in His Office and Answers Questions from His

question 51

Essay

A professor sits in his office and answers questions from his students the afternoon before the final exam. His class is a mass lecture of 350 students, so he 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 does the professor spend 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:

Organizational Change

The process by which companies or organizations change their structure, strategies, operational methods, technologies, or organizational culture to affect change within the organization or to respond to external influences.

Cost-Cutting Strategy

A business approach aimed at reducing expenses to improve overall profitability without compromising the quality of products or services.

Planned Organizational Change

Deliberate efforts to modify an organization's processes, culture, or structure to improve effectiveness.

Communicate

The act of conveying information, ideas, or feelings from one entity to another through various methods, including speech, writing, or non-verbal expressions.