7. Population dynamics is impacted by the continual movement of people who are seeking better quality of life or better employment. The city of Mobile has an inner city population, a suburban population, and a surrounding rural population. The census taken in la-year intervals shows that 10% of the rural population move to the suburbs and 5% to the inner city. For the suburban population, 30% move to rural areas and 15% to the inner city. Inner-city population would not move into suburbs, but 20% of them move to the quiet rural life.

(a) Express the population dynamics as a Markov chain.