Consider a workshop with 3 machines, each with its own repair person. The 3 machines are identical and behave independently of each other. Each machine works for exp( ) amount of time and fails. After failure, it takes exp()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) : t 0} as a Continuous Time Markov Chain, and compute its steady-state distribution.