Question: One repairman services m = 10 automatic machines, which need no care during normal operation. Each machine fails independently of the others, and the time

One repairman services m = 10 automatic machines, which need no care during normal operation. Each machine fails independently of the others, and the time between failures for each machine is exponentially distributed with rate = 1. To repair the machines, a repairman spends a random amount of time distributed according to an exponential law with parameter = 1. Find the steady state probability that 5 machines do not run (are being repaired or are waiting for repairs), and the expected number of machines waiting for repairs

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