$1.$ Suppose jobs arrive at a single$-$machine workstation at a rate of $20$ per hour and the average process time is $2\mathrm{.}5$ minutes. a$)$ What is the utilization of the machine?b$)$ Suppose that the inter$-$arrival and process times are such that $$and $.$ i$)$ What is the average time a job spends at the station $($i$.$e$.$ waiting plus process time$)?$ ii$)$ What is the average number of jobs at the station?

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