49. Consider a system that can be in either state 1 or 2 or 3. Each time...

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49. Consider a system that can be in either state 1 or 2 or 3. Each time the system enters state i it remains there for a random amount of time having mean and then makes a transition into state j with probability . Suppose

(a) What proportion of transitions takes the system into state 1?

(b) If Image, then what proportion of time does the system spend in each state?

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