A New Shopping Mall Is Considering Setting Up an Information

question 123

Essay

A new shopping mall is considering setting up an information desk manned by one employee.Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour.It takes an average of two minutes to answer a question.It is assumed that arrivals are Poisson and answer times are exponentially distributed.
(a)Find the probability that the employee is idle.
(b)Find the proportion of time that the employee is busy.
(c)Find the average number of people receiving and waiting to receive information.
(d)Find the average number of people waiting in line to get information.
(e)Find the average time a person seeking information spends at the desk.
(f)Find the expected time a person spends waiting in line to have his question answered.

---

Definitions:

Quarterly Reports

Financial reports issued by a company every three months, providing an overview of its performance and financial health throughout the year.

Annual Reports

Official publications released yearly by corporations, detailing their operations, financial performance, and strategies.

Investor Relations

The department within a public company that is responsible for managing and communicating information to investors and financial analysts.

Chief Executive Officer

The highest-ranking executive in a company, responsible for making major corporate decisions, managing overall operations, and acting as the main point of communication between the board of directors and corporate operations.