Question: 7.23 A facility has four machines, with two repair workers to maintain them. Individual machines fail on average every 10 hours. It takes an individual

7.23 A facility has four machines, with two repair workers to maintain them. Individual machines fail on average every 10 hours. It takes an individual repair worker on average 4 hours to ix a machine. Repair and failure times are independent and exponentially distributed.

(a) Find the generator matrix.

(b) In the long term, how many machines are typically operational?

(c) If all four machines are initially working, ind the probability that only two

machines are working after 5 hours.

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