Question: A duplication machine maintained for office use is operated by office assistant. The time to complete each job varies according to an exponential distribution with

A duplication machine maintained for office use is operated by office assistant. The time to complete each job varies according to an exponential distribution with mean

6

minutes. Assume a Poisson input with an average arrival rate of

5

jobs per hour. If an

8 -

hour day is used as a base, determine

(

)

The percentage of idle time of the machine.

(

)

The average time a job is in the system.

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