# Data collected from selected major metropolitan areas in the eastern United States show that 2% of individuals living within the city limits move to the suburbs during a one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. Answer the following questions assuming that this process is modeled by a Markov process

Chapter 17, Problems #6

Data collected from selected major metropolitan areas in the eastern United States show that 2% of individuals living within the city limits move to the suburbs during a one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. Answer the following questions assuming that this process is modeled by a Markov process with two states: city and suburbs:

a. Prepare the matrix of transition probabilities.

b. Compute the steady-state probabilities.

c. In a particular metropolitan area, 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?

a. Prepare the matrix of transition probabilities.

b. Compute the steady-state probabilities.

c. In a particular metropolitan area, 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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## Quantitative Methods for Business

11th Edition

Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam

ISBN: 978-0324651751