# Can you help me with the following MARKOV CHAINS problem, explaining the solution step by step...

###### Question:

Can you help me with the following MARKOV CHAINS problem, explaining the solution step by step
Families in a certain country are classified according to whether they reside in rural, urban or suburban areas. Demographic mobility studies estimate that, on average, over the course of a year, 15% of urban families change residence and move to a suburban area, and 5% to a rural area; while 6% of families residing in suburban areas move to urban areas, and 4% to rural areas, and finally 4% of rural families migrate to urban areas and 6% to suburban areas.
a. Define states and transition matrix
b. What is the probability that a family that now lives in an urban area will continue to live in an urban area within two years? And in a suburban? And in a rural one?
c. Suppose that presently 40% of the country's families live in urban areas, 35% in suburban areas, and 25% in rural areas. What percentage of families will live in urban areas in two years?
d. What population distribution should be anticipated in the future if trends do not change?

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