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The computer lab at state university has a help desk to assist students working on computer spreadsheets assignments .The students patiently form a single line in front of the desk to wait for help. The students are served based on first -come ,first served priority rule. On average, 15 students per hour arrive at the help desk. Student arrivals are best described using a poisson distribution. The help desk server can help an average of 20 students per hour, with the service rate being de-scribed by an exponential distribution. Calculate the following operating characteristics of the service system.
(1) The average utilization of the help desk server
(2) The average number of students in the system
(3) The average number of students waiting in line
(4) The average time a student spends in the system
(5) The average time a student spends waiting in line
(6) The probability of having more than 4 students in the system
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