Question: 3 Continuous Time Markov Chain soblem: Example: A certain shop has two identical machines that are operated continuously except when they are broken down. There

3 Continuous Time Markov Chain soblem: Example: A

3 Continuous Time Markov Chain soblem: Example: A certain shop has two identical machines that are operated continuously except when they are broken down. There is one maintenance person to repair them whenever needed. The time required to repair a machine has an exponential distribution with a mean of 1/3 day. Once the repair of a machine is completed, the time until the next breakdown of that machine has an exponential distribution with a mean of 3/2 day. Let X(t') denote the number of machines broken down at time t'. So the possible values of X(t') are 0,1,2. Find the steady state probability distribution of X(t')

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