In some country, 90% of the daughters of working women also work and 20% of the daughters of nonworking women work. Assume that these percents remains 0.9 0.2 unchanged from one generation to the next. The corresponding transition matrix is A = 0.1 0.8 Consider a typical group of women, of whom 45% currently work. Use A and A² to determine the proportion of working women in the next two generations. The proportion of working women in the first generation is %. (Type an integer or a decimal.) The proportion of working women in the second generation is %. (Type an integer or a decimal.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In some country, 90% of the daughters of working women also work and 20% of the daughters of nonworking women work. Assume that these percents remains
0.9 0.2
unchanged from one generation to the next. The corresponding transition matrix is A =
0.1 0.8
Consider a typical group of women, of whom 45% currently work. Use A and A² to determine the proportion of working women in the next two generations.
The proportion of working women in the first generation is %.
(Type an integer or a decimal.)
%.
The proportion of working women in the second generation is
(Type an integer or a decimal.)
Transcribed Image Text:In some country, 90% of the daughters of working women also work and 20% of the daughters of nonworking women work. Assume that these percents remains 0.9 0.2 unchanged from one generation to the next. The corresponding transition matrix is A = 0.1 0.8 Consider a typical group of women, of whom 45% currently work. Use A and A² to determine the proportion of working women in the next two generations. The proportion of working women in the first generation is %. (Type an integer or a decimal.) %. The proportion of working women in the second generation is (Type an integer or a decimal.)
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