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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.
Expectancy
The belief about the likelihood that a particular effort will lead to a particular level of achievement or outcome.
Performance Accomplishment
Achievements or outcomes that demonstrate an individual's or group's effective execution of tasks, often measured against pre-defined standards or goals.
Expectancy Theory
A motivational theory suggesting that individuals are motivated to act based on the expected outcomes of their actions.
Motivation Components
The various elements that drive an individual's behavior towards achieving specific goals, including intrinsic and extrinsic motivators.
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