Suppose the city of Metropolis is experiencing a movement of its population to the suburbs. Each year suburbs, while only 5% of the people that live in the suburbs move into the city. The rest stay where they are. a. Write a transition matrix to represent the population movement. b. Currently 70% of the population lives in the city of Metropolis and 30% lives in the suburbs. What percentage of the population will live in the city after two years? c Find the steady-state probability vector X = of the Markov chain to give the long term distribution of the population of Metropolis.
Suppose the city of Metropolis is experiencing a movement of its population to the suburbs. Each year suburbs, while only 5% of the people that live in the suburbs move into the city. The rest stay where they are. a. Write a transition matrix to represent the population movement. b. Currently 70% of the population lives in the city of Metropolis and 30% lives in the suburbs. What percentage of the population will live in the city after two years? c Find the steady-state probability vector X = of the Markov chain to give the long term distribution of the population of Metropolis.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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