A sociologist studying living patterns in a certain region determines that the pattern of movement between urban

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A sociologist studying living patterns in a certain region determines that the pattern of movement between urban (U), suburban (S), and rural areas (R) is given by the following transition matrix:

US R 0.08 0.06 0.88 0.07 0.05 0.92 U 0.86 S 0.05 R 0.03

In the long run what fraction of the population will live in the three areas?

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