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:

Lark

A morning person, often energetic and active at the start of the day.

Evolutionary Perspective

A theoretical approach in psychology that explains human thoughts, feelings, and behaviors through the lens of natural selection and adaptation.

Universal Trait

Characteristics of personality that are considered to exist within every individual across different cultures and societies.

Achievement

The successful attainment or accomplishment of a task, goal, or objective, often recognized or rewarded by others.