Each American family is classified as living in an urban, suburban or rural location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. a.If a family now lives in an urban location, what is the probability that it will live in an urban area two years from now? b. If a family now lives in an urban location, what is the probability that it will live in a suburban area two years from now? c. If a family now lives in an urban location, what is the probability that it will live in a rural area two years from now? d. Find the steady-state probabilities.
Each American family is classified as living in an urban, suburban or rural location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location.
a.If a family now lives in an urban location, what is the
b. If a family now lives in an urban location, what is the probability that it will live in a suburban area two years from now?
c. If a family now lives in an urban location, what is the probability that it will live in a rural area two years from now?
d. Find the steady-state probabilities.
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