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 0% of the time, move to the suburbs 50% of the time, and move out-of- state 50% of the time. If a person is living in the suburbs, they will move into the city 20% of the time, stay in the suburbs 50% of the time, and move out-of-state 30% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and stay out-of state 80% of the time. In the long-run, what is the probability that a person will live out-of- state?

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
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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 0% of the time, move to the suburbs 50% of the time, and move out-of-
state 50% of the time. If a person is living in the suburbs, they will move into the city 20% of the
time, stay in the suburbs 50% of the time, and move out-of-state 30% of the time. If the person lives
out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and
stay out-of state 80% of the time. In the long-run, what is the probability that a person will live out-of-
state?
Transcribed Image Text: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 0% of the time, move to the suburbs 50% of the time, and move out-of- state 50% of the time. If a person is living in the suburbs, they will move into the city 20% of the time, stay in the suburbs 50% of the time, and move out-of-state 30% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and stay out-of state 80% of the time. In the long-run, what is the probability that a person will live out-of- state?
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