Question According tne Ghana Statistical Service data collected in 2020 shows that, 5% of individuals living within the city move to the rural areas during a one-year period, while 4% of individuals living in the rural areas move to the city a one- year period. Assuming that, this process is modeled by a Markov process with two states: city and rural areas a) i. Prepare the matrix of transition probabilities ii. Compute the steady-state probabilities. iii. In a particular District, 40% of the population lives in the city, and 60% of the population lives in the suburbs. What population changes do your steady-state probabilities project for this metropolitan area? "

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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According tne Ghana Statistical Service data collected in 2020 shows that, 5%
of individuals living within the city move to the rural areas during a one-year
period, while 4% of individuals living in the rural areas move to the city a one-
year period. Assuming that, this process is modeled by a Markov process with
two states: city and rural areas
a) i. Prepare the matrix of transition probabilities
ii. Compute the steady-state probabilities.
iii. Ina particular District, 40% of the population lives in the city, and 60% of
the population lives in the suburbs. What population changes do your
steady-state probabilities project for this metropolitan area? '
Transcribed Image Text:Question According tne Ghana Statistical Service data collected in 2020 shows that, 5% of individuals living within the city move to the rural areas during a one-year period, while 4% of individuals living in the rural areas move to the city a one- year period. Assuming that, this process is modeled by a Markov process with two states: city and rural areas a) i. Prepare the matrix of transition probabilities ii. Compute the steady-state probabilities. iii. Ina particular District, 40% of the population lives in the city, and 60% of the population lives in the suburbs. What population changes do your steady-state probabilities project for this metropolitan area? '
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