The table below gives the percentage of a female population who were members of the labor force in a particular country in the indicated years. The following transition matrix P is proposed as a model for the data, where L represents females who are in the labor force and L' represents females who are not in the labor force: Current L decade L' Next Decade Year 1970 1980 1990 L L' 0.94 0.06 0.13 0.87 Percent 41.9 46.5 51.8 = P (A) Let So= 0.419 0.581. Write the equation in terms of P and So that can be used to calculate S₁. find 3₁.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The table below gives the percentage of a female population who were members
of the labor force in a particular country in the indicated years. The following
transition matrix P is proposed as a model for the data, where L represents
females who are in the labor force and L' represents females who are not in the
labor force:
Current L
decade
Next Decade
L
L'
Year
1970
1980
1990
2000
2010
L'
0.94
0.06
0.13 0.87
Percent
41.9
46.5
51.8
53.7
54.6
= P
(A) Let So = [0.419 0.581
[0.419 0.581], and find S₁, S₂, S3, and S4.
Write the equation in terms of P and So that can be used to calculate S₁.
Transcribed Image Text:K The table below gives the percentage of a female population who were members of the labor force in a particular country in the indicated years. The following transition matrix P is proposed as a model for the data, where L represents females who are in the labor force and L' represents females who are not in the labor force: Current L decade Next Decade L L' Year 1970 1980 1990 2000 2010 L' 0.94 0.06 0.13 0.87 Percent 41.9 46.5 51.8 53.7 54.6 = P (A) Let So = [0.419 0.581 [0.419 0.581], and find S₁, S₂, S3, and S4. Write the equation in terms of P and So that can be used to calculate S₁.
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