(a) Explanation Given Information: Each year, the population shifts between urban, suburban, and rural areas as shown in the transition diagram is shown below: In the provided transition diagram, there are three types of areas, urban U , suburban S and rural R . Three ovals are used to represent these three areas and the probability of these three states are located in the diagonal cells of the transition matrix. Each entry in the transition matrix indicates the probability of going from one area to another. Arrows are used to show the transition between two areas with a particular probability. In the provided transition diagram, The probability of going from area U to area S is 0.08 and the probability of going from area S to area U is 0.05. The probability of going from area U to area R is 0.06 and the probability of going from area R to area U is 0.03. The probability of going from area S to area R is 0.09 and the probability of going from area R to area S is 0 (b) To determine To calculate: The percentage of people who live in urban areas in 2017 will live in rural areas in 2019.

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 8.1, Problem 31E

(a)

To determine

The stochastic matrix for the provided transition diagram,

.

(b)

To determine

To calculate: The percentage of people who live in urban areas in 2017 will live in rural areas in 2019.

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Chapter 8.1, Problem 30E

Chapter 8.1, Problem 32E

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Finite Mathematics & Its Applications (12th Edition)

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The stochastic matrix for the provided transition diagram, .

Solution Summary: The author explains the stochastic matrix for the provided transition diagram, which shows the population shifts between urban, suburban, and rural areas.