Construct a model of population flow between metropolitan and nonmetropolitan areas of a given country, given that their respective populations in 2015 were 261 million and 44 million. The probabilities are given by the following matrix. (from) metro nonmetro 0.99 0.02 0.01 0.98 (to) metro nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2016 through 2020 (in millions, to four decimal places). (Let x, through x, represent the years 2016 through 2020, respectively.) 261.21 43.79 x 259.47 45.53 257.78 47.21 256.15 48.84 41 254.57 50.43 11