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.   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?    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?    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?  Find the steady-state probabilities.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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. 

 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?  

 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?  

 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? 

Find the steady-state probabilities. 

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