The Southwestern states were popular destinations in 2020. Suppose that Fig. 6 shows the percentages of people who moved in and out of the Southwest during 2020. At the beginning of 2020, about 13% of the U.S. population lived in the Southwest.

Data in Fig. 6

(a) Set up the stochastic matrix that displays the transitions. 

(b) Assuming that these transition rates persisted for several years, use the matrix from part (a) to estimate the percentage of the U.S. population living in the Southwestern states at the beginning of 2021 and 2022.

Transcribed Image Text:

99.2% (Southwest) .8% .7% 99.3% Other regions