Data collected from selected major metropolitan areas in the eastern United States show that 8% of individuals living within the city limits move to the suburbs during a one-year period, while 4% 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. b. Compute the steady-state probabilities. If required, round your answer to three decimal places. 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? If required, round your answer to the nearest whole number. The area will show in the suburb population and in the city populati i the city is expected to drop to around %. 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? If required, round your answer to the nearest whole number. The area will show in the suburb population and I in the city population. The current 40% in the city is expected to drop %