The following stochastic matrix P gives the probabilities for a certain region of

Chapter 2, Problem 33

(choose chapter or problem)

The following stochastic matrix P gives the probabilities for a certain region of college- and noncollege-educated households having at least one college-educated child. By a college-educated household we understand that at least one parent is college educated, while by noncollege-educated we mean that neither parent is college educated. household coll ed noncoll ed p = [ 0.9 0.1 0.25 ] college-educated child 0.75 noncollege-educated If there are currently 300,000 college-educated households and 750,000 noncollege-educated households what is the predicted distribution for two generations hence? What is the probability that a couple that has no college education will have at least one grandchild with a college education?

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