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Each family in Green Country is classified as living in an urban, rural, or suburban 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? A suburban area? A rural area? b. Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percentage of Green Country families will live in an urban area? c. What is the future population distribution of the Green Country at the steady state?

Each family in Green Country is classified as living in an urban, rural, or suburban 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? A suburban area? A rural area? b. Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percentage of Green Country families will live in an urban area? c. What is the future population distribution of the Green Country at the steady state?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2 30 Each family in Green Country is classified as living in an urban, rural, or suburban 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? A suburban area? A rural area? b. Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percentage of Green Country families will live in an urban area? c. What is the future population distribution of the Green Country at the steady state?
Transcribed Image Text:2 30 Each family in Green Country is classified as living in an urban, rural, or suburban 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? A suburban area? A rural area? b. Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percentage of Green Country families will live in an urban area? c. What is the future population distribution of the Green Country at the steady state?
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