A study showed the following migration matrix, which describes the movement of the population of the United States during 1989. In 1989, about 45.6% of the total population lived in State A. What percentage of the total population would eventually live in State A if the listed migration probabilities were to remain constant over many years? From: State A Rest of U.S. 0.9855 0.0129 0.0145 0.9871 To: State A Rest of U.S Determine the approximate percentage of the total U.S population that would eventually live in State A if the migration probabilities remained constant. The percentage of the total U.S. population that would eventually live in State A is %. (Round the final answer to one decimal place as needed. Round all intermediate values to six decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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A study showed the following migration matrix, which describes the movement of the population of the United States
during 1989. In 1989, about 45.6% of the total population lived in State A. What percentage of the total population
would eventually live in State A if the listed migration probabilities were to remain constant over many years?
From:
State
A
Rest of U.S.
0.9855 0.0129
0.0145 0.9871
To:
State A
Rest of U.S
Determine the approximate percentage of the total U.S population that would eventually live in State A if the migration
probabilities remained constant.
The percentage of the total U.S. population that would eventually live in State A is %.
(Round the final answer to one decimal place as needed. Round all intermediate values to six decimal places
as needed.)
Transcribed Image Text:A study showed the following migration matrix, which describes the movement of the population of the United States during 1989. In 1989, about 45.6% of the total population lived in State A. What percentage of the total population would eventually live in State A if the listed migration probabilities were to remain constant over many years? From: State A Rest of U.S. 0.9855 0.0129 0.0145 0.9871 To: State A Rest of U.S Determine the approximate percentage of the total U.S population that would eventually live in State A if the migration probabilities remained constant. The percentage of the total U.S. population that would eventually live in State A is %. (Round the final answer to one decimal place as needed. Round all intermediate values to six decimal places as needed.)
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