2.1. Let {X,,; n = 0, 1, ...) be a two-state Markov chain with the transition probability matrix

State 0 represents an operating state of some system, while state 1 represents a repair state. We assume that the process begins in state X0 = 0, and then the successive returns to state 0 from the repair state form a renewal process. Determine the mean duration of one of these renewal intervals.

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0 0||1-a P = 15 b 1 1-bl abl