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A. A new shopping mall is considering setting up an information desk manned by one employee....

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Statistics

A. A new shopping mall is considering setting up an informationdesk manned by one employee. Based on information obtained fromsimilar information desks, it is believed that people will arriveat the desk at the rate of 20 per hour. It takes an average of 2minutes to answer a question. It is assumed that arrivals arePoisson and answer times are exponentially distributed. i. Find theprobability that the employee is idle. ii. Find the proportion ofthe time that the employee is busy. iii. Find the average number ofpeople receiving and waiting to receive information. iv. Find theaverage number of people waiting in line to get information. v.Find the average time a person seeking information spends at thedesk. vi. Find the expected time a person spends just waiting inline to have a question answered

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