A First Course In Probability, Global Edition
10th Edition
ISBN: 9781292269207
Author: Ross, Sheldon
Publisher: PEARSON
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Chapter 9, Problem 9.10PTE
A certain person goes for a run each morning. When he leaves his house for his run, he is equally likely to go out either the front or the back door, and similarly, when he returns, he is equally likely to go to either the front or the back door. The runner owns 5 pairs of running shoes, which he takes off after the run at whichever door he happens to be. If there are no shoes at the door from which he leaves to go running, he runs barefooted. We are interested in determining the proportion of time that he runs barefooted.
a. Set this problem up as a Markov chain. Give the states and the transition
b. Determine the proportion of days that he runs barefooted.
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Chapter 9 Solutions
A First Course In Probability, Global Edition
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