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 0% 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 50% of the time, stay in the suburbs 20% 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. Answer the following questions: 1.What is the probability a person living in the city will remain in the city for three subsequent years? 2.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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0% 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 50% of the time, stay in the suburbs 20% 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. Answer the following questions:

1.What is the probability a person living in the city will remain in the city for three subsequent years?

2.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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