Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 50% of the time, move to the suburbs50% of the time, and move out-of-state 0% of the time. If a person is living in the suburbs, they will move into the city 50% of the time, stay in the suburbs 30% ofthe time, and move out-of-state 20% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 80% of the time,and stay out-of state 10% of the time. In the long-run, what is the probability that a person will live out-of-state? A state vector X for a four-state Markov chain is such that the system is three times as likely to be in state 4 as in 3, is not in state 2, and is in state 1 withprobability 0.2. Find the state vector X.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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