Question: 2. Consider a workshop with 3 machines, each with its own repairperson. The 3 machines are identical and behave independently of each other. Each machine

2. Consider a workshop with 3 machines, each with its own repairperson. The 3 machines are identical and behave independently of each other. Each machine works for exp(2) amount of time and fails. After failure, it takes exp(u) amount of time to fix the machine to function again. Let X(t) be the number of working machines at time t in the workshop. Model (X(t) : ( 2 0) as a CTMC, and compute its steady-state distribution

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