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Mathematics, 22.03.2021 06:20 ajayrose

There are 5 machines each of which when running suffers breakdown at an average rate of 2 per hour. There are 2 servicemen and only one man work on a machine at a time. If ‘n’ machine are out of order when n > 2 then (n – 2) of them wait until a service man is free. Once a serviceman starts work on a machine the time to complete the repair has an exponential distribution with mean of 5 minutes. Find the distribution of the number of machines out of action at a given time. Find also the average time an out-of-action machine has to spend waiting for the repairs to start.

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