Construct a model of population flow between metropolitan and nonmetropolitan areas of the United States, given that their respective populations in 2012 were 255 million and 52 million. The probabilities are given by the matrix (from) (to) metro nonmetro [0.99 [0.01 0.02] metro 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2013 through 2015 (in millions, to four decimal places). If a person was living in a metropolitan area in 2012, what is the probability that the person will still be living in a metropolitan area in 2015?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Construct a model of population flow between metropolitan and nonmetropolitan areas of the
United States, given that their respective populations in 2012 were 255 million and 52 million.
The probabilities are given by the matrix
(from)
(to)
metro nonmetro
[0.99
[0.01
0.02] metro
0.98 nonmetro
Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2013
through 2015 (in millions, to four decimal places). If a person was living in a metropolitan area in
2012, what is the probability that the person will still be living in a metropolitan area in 2015?
Transcribed Image Text:Construct a model of population flow between metropolitan and nonmetropolitan areas of the United States, given that their respective populations in 2012 were 255 million and 52 million. The probabilities are given by the matrix (from) (to) metro nonmetro [0.99 [0.01 0.02] metro 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2013 through 2015 (in millions, to four decimal places). If a person was living in a metropolitan area in 2012, what is the probability that the person will still be living in a metropolitan area in 2015?
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