The populations of U.S. metropolitan and nonmetropolitan areas in 2012 are described by

Chapter 3, Problem 1

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The populations of U.S. metropolitan and nonmetropolitan areas in 2012 are described by the following vector Xo (in units of one million), and the populations in the following years are given by a Markov chain with the transition matrix P. (See Exercise 6, Section 2.8.) Determine the longterm predictions for metro and nonmetro populations, assuming no change in their total population. Initial populations [255] metro Xo = 52 nonmetro (from) metro nonmetro (to) p = [0.99 0.02] metro 0.01 0.98 nonmetro

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