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4. [-/20 Points] DETAILS ASWMSCI15 16.E.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Data collected from selected major metropolitan areas in the eastern United States show that 3% of individuals living within the city limits move to the suburbs during a one-year period, while 2% of individuals living in the suburbs move to the city during a one-year period. Answer the following questions assuming that this process is modeled by a Markov process with two states: city and suburbs. (a) Prepare the matrix of transition probabilities. City Suburbs City Suburbs (b) Compute the steady-state probabilities. City Suburbs 2 (c) In a particular metropolitan area, 45% of the population lives in the city, and 55% of the population lives in the suburbs, What population changes do your steady-state probabilities project for this metropolitan area? The area will show ---Select- vin the city population and -Select-- Yin the suburb population