A job shop consists of three machines and two repairmen. The amount of time a machine works

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A job shop consists of three machines and two repairmen. The amount of time a machine works before breaking down is exponentially distributed with mean 10.

If the amount of time it takes a single repairman to fix a machine is exponentially distributed with mean 8, then

(a) what is the average number of machines not in use?

(b) what proportion of time are both repairmen busy?

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