Data collected from selected major metropolitan areas in the eastern United States show that 2% of individuals living within the city limits move to the suburbs during a one-year period, while 3% 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. To From City City Suburbs Suburbs (b) Compute the steady-state probabilities. (Enter your probabilities as fractions.) City Suburbs 1 12 (c) In a particular metropolitan area, 40% of the population lives in the city, and 60% 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--- in the city population and ---Select--- in the suburb population.