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 suburbs 50% 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% of the 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. Answer the following questions: (a) Find the probability that an individual who is living in the city currently is living in the city two years from now. (b) What is the probability a person living in the city will remain in the city for three subsequent years? (c) What is the probability that a person living out-of-state will be either living in the city or living in the suburbs two years from now?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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 50% of the time, move to the suburbs 50% 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% of the 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. Answer the following questions: (a) Find the probability that an individual who is living in the city currently is living in the city two years from now. (b) What is the probability a person living in the city will remain in the city for three subsequent years? (c) What is the probability that a person living out-of-state will be either living in the city or living in the suburbs two years from now?
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