Help with a Markovian chain math problem?

inso

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Apr 29, 2009
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Pls help solve this with a Markovian chain:
Census studies from 1960 reveal that in France 70% of the daughters of working women also work, and 50% of the daughters of nonworking women work. Assume that this trend remains unchanged from one generation to the next,
Set up a Markov chain by drawing the transition diagram and the transition matrix.
That time 40% of French women worked. Determine the percentage of working women in the next two generations.
In the long run what percentage of French women will work?
 
\(\displaystyle \begin{array}{r|rr} & N & W \\ \hline N & {0.5} & {0.5} \\ W & {0.3} & {0.7} \\ \end{array}\)
 
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