The following stochastic matrix P gives the probabilities for a certain regio 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 0.75 college-educated noncollege-educated child If there are currently 200,000 college-educated households and 550,000 noncollege-educated households, what is the predicted distribution for two generations hence? college-educated noncolledge-educated What is the probability that a couple that has no college education will have at least one grandchild with a college education?