Figure 5 describes the migration pattern of a species of bird from year to year among three

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Figure 5 describes the migration pattern of a species of bird from year to year among three habitats: I, II, and III.
Figure 5,
78 .85 .12 07 п .10 .05 .08 .15 III .80

(a) Set up the stochastic matrix that displays these transitions.
(b) If there are 1000 birds in each habitat at the beginning of a year, how many will be in each habitat at the end of the year? At the end of two years?
(c) In the long run, what fraction of the birds will be located at each habitat?

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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

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

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