Consider a machine where jobs are being processed. The mean production time is 6 minutes and the standard deviation is 2 minutes per job. The mean number of jobs arriving per hour is 6. Suppose that the inter-arrival times are exponentially distributed.
a. Determine the mean waiting time of the jobs. ______
minutes
b. What fraction of the time is the machine idle? ______
c. What is the average time for a job to be completed? ______
minutes
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