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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.)

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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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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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