Census results reveal that in a country 1/3 of women work, and this fraction doe

Question

Census results reveal that in a country 1/3 of women work, and this fraction does not change from generation to generation. In addition, in any given generation, 40% of daughters of nonworking women will work. What percentage of daughters of working women will work (in any given generation)?

You need to assume that each woman has exactly one daughter, that the Markov property holds for the corresponding process (which indicates whether a woman in nth generation is working), and that the assumptions of a “crowd of Markov chains” are satisfied

Explanation / Answer

sol) Census results reveal that in a country 1/3 of women work

remaining 2/3 of women will not work.

In addition, in any given generation, 40% of daughters of nonworking women will work.

Hence Remaining 60% of daughters of working women will work

Henve Probability = 60% of (1/3)

=20%

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