A certain person goes for a run each morning.When he
Chapter 9, Problem 9.10(choose chapter or problem)
A certain person goes for a run each morning.When he leaves his house for his run, he is equallylikely to go out either the front or the back door,and similarly, when he returns, he is equally likelyto go to either the front or the back door. The runnerowns 5 pairs of running shoes, which he takesoff after the run at whichever door he happens tobe. If there are no shoes at the door from which heleaves to go running, he runs barefooted. We areinterested in determining the proportion of timethat he runs barefooted.(a) Set this problem up as a Markov chain. Givethe states and the transition probabilities.(b) Determine the proportion of days that he runsbarefooted.
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