3. Construct a model of population flows between cities, suburbs, and nonmetropolitan areas of the United States. Their respective populations in 2022 were 80 million, 175 million, and 52 million. The stochastic matrix giving the probabilities of the moves is (from) suburb nonmetro (to) city 0.96 0.01 0.015 city 0.03 0.98 0.005 suburb 0.01 0.01 0.98 nonmetro Predict the populations of city, suburban, and nonmetropolitan areas for 2023, 2024, and 2025. If a person was living in the city in 2022, what is the probability the person will be living in a nonmetropolian area in 2024?

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.5: Markov Chain
Problem 55E
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3. Construct a model of population flows between cities, suburbs, and nonmetropolitan areas of the United
States. Their respective populations in 2022 were 80 million, 175 million, and 52 million. The stochastic
matrix giving the probabilities of the moves is
(from)
(to)
city
suburb nonmetro
0.96
0.01
0.015 city
0.03
0.98
0.005
suburb
0.01
0.01
0.98
nonmetro
Predict the populations of city, suburban, and nonmetropolitan areas for 2023, 2024, and 2025. If a person
was living in the city in 2022, what is the probability the person will be living in a nonmetropolian area in
2024?
Transcribed Image Text:3. Construct a model of population flows between cities, suburbs, and nonmetropolitan areas of the United States. Their respective populations in 2022 were 80 million, 175 million, and 52 million. The stochastic matrix giving the probabilities of the moves is (from) (to) city suburb nonmetro 0.96 0.01 0.015 city 0.03 0.98 0.005 suburb 0.01 0.01 0.98 nonmetro Predict the populations of city, suburban, and nonmetropolitan areas for 2023, 2024, and 2025. If a person was living in the city in 2022, what is the probability the person will be living in a nonmetropolian area in 2024?
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