Table 2 gives the percentage of U.S. adults who were smokers in the given year. The following

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Table 2 gives the percentage of U.S. adults who were smokers in the given year.

The following transition matrix P is proposed as a model for the data, where S represents the population of U.S. adult smokers.

(A) Let S0 = [.301 .699], and find S1, S2, and S3. Compute the matrices exactly and then round entries to three decimal places.

(B) Construct a new table comparing the results from part (A) with the data in Table 2.

(C) According to this transition matrix, what percentage of the adult U.S. population will be smokers in the long run?

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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