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It is found that the arrival of jobs at a work station on an assembly line is governed by a poisson process. Also, the time

It is found that the arrival of jobs at a work station on an assembly line is governed by a poisson process. Also, the time to perform the task at the station is exponentially distributed. If the mean arrival rate is 5 jobs per minute, what must be the service rate in order that there will be a probability of .90 that a job spends at the station (waiting and being processed) is not greater than 12 minutes?

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