Construct a model of population flow between metropolitan and nonmetropolitan areas of a given country, given that their respective populations in 2015 were 267 million and 47 million. The probabilities are given by the following matrix. (from) (to) metro nonmetro 0.99 0.02 metro 0.01 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2016 through 2020 (in millions, to four decimal places). (Let x1 through x5 represent the years 2016 through 2020, respectively.)