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.

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Definitions:

Hierarchical Organization

An organizational structure where entities are ranked according to levels of authority or status.

Tensions

involves a state of mental or emotional strain typically resulting from challenging or demanding circumstances.

Team Performance

The effectiveness and efficiency with which a group accomplishes its collective goals, measured by various metrics.

Leaders Lose Power

The phenomenon where leaders experience a reduction in their ability to influence or control outcomes, often due to factors such as resistance, loss of credibility, or organizational changes.