A New Shopping Mall Is Considering Setting Up an Information

question 17

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 exactly two minutes to answer each question.It is assumed that arrivals are Poisson.
(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:

Altruism

The selfless concern for the well-being of others, often resulting in acts that prioritize others' needs over one's own.

Diffusion Of Responsibility

A sociopsychological phenomenon where individuals in a group are less likely to take action or feel a sense of responsibility in the presence of others.

Ingroup Bias

The tendency to favor and extend loyalty to one's own group over others, often leading to prejudice and discrimination.

Epileptic Seizure

A sudden surge of electrical activity in the brain causing changes in behavior, movements, feelings, or levels of consciousness, associated with epilepsy.