Explanation Given Information: Out of total 44 % women currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix, A = [ .8 .3 .2 .7 ] Calculation: Since, 44 % women work outside the home. So, 100 − 44 = 56 % don’t work. This can be written in initial distribution matrix as, [ x 0 y 0 ] = [ .44 .56 ] 0 Also, distribution matrix from generation 0 to 2 can be denoted as, [ ] 0 = [ x 0 y 0 ] And, [ ] 1 = [ x 1 y 1 ] And, [ ] 2 = [ x 2 y 2 ] Calculate the probabilities of generation 1 as, A [ x 0 y 0 ] = [ x 1 y 1 ] Next, put the value of A in the above matrix equation as, [ .8 .3 .2 .7 ] [ x 0 y 0 ] = [ x 1 y 1 ] Next, put [ x 0 y 0 ] = [ .44 .56 ] 0 In the above equation and calculate as, [ .8 .3 .2 .7 ] [ .44 .56 ] = [ x 1 y 1 ] [ .352 + 0.168 0.088 + 0.392 ] = [ x 1 y 1 ] [

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

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

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 8.1, Problem 20E

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To calculate: The proportion of Chinese women who work outside the home in next two generations if 44% currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix,

A=[.8.3.2.7]

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Chapter 8.1, Problem 19E

Chapter 8.1, Problem 21E

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Chapter 8 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 8.1 - 1. Is a stochastic matrix? Ch. 8.1 - 2. Learning Process An elementary learning process...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 7–12, write a stochastic matrix...Ch. 8.1 - Prob. 8E

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The proportion of Chinese women who work outside the home in next two generations if 44 % currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix, A = [ .8 .3 .2 .7 ]

Solution Summary: The author calculates the proportion of Chinese women who work outside the home in the next two generations.

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To calculate: The proportion of Chinese women who work outside the home in next two generations if 44% currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix,

A=[.8.3.2.7]

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Chapter 8 Solutions

The proportion of Chinese women who work outside the home in next two generations if 44 % currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix, A = [ .8 .3 .2 .7 ]

Solution Summary: The author calculates the proportion of Chinese women who work outside the home in the next two generations.

Concept explainers

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To calculate: The proportion of Chinese women who work outside the home in next two generations if 44% currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix, A=[.8.3.2.7]

Want to see the full answer?

Chapter 8 Solutions

To calculate: The proportion of Chinese women who work outside the home in next two generations if 44% currently work outside the home. Also, assume that same percentage of women follow their mother’s footsteps given by the matrix,

A=[.8.3.2.7]