Question: please answer both parts a & b. It is OR2 course Problem # 4 (a=b=5, Total=10 points) A machine can be in one of three

please answer both parts a & b. It is OR2 course

Problem # 4 (a=b=5, Total=10 points) A machine can be in one of three states: 0 (busy), 1 (idle), and 2 (undergoing repair). Observing its state at 8 a.m. everyday, it is believed that the system approximately behaves like a Markov chain with the following Transition Probability Matrix: T0.6 0.2 0.2 P=0.1 0.8 0.1 | 0.6 0. 0.4 (a) Determine the steady-state probability of the system. (b) For all i and j, find the mean first passage times when i =j

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