Family Traits Assume that the probability of a fat father having a fat son is 0.7 and

Chapter 10, Problem 26

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Family Traits Assume that the probability of a fat father having a fat son is 0.7 and that of a thin father having a thin son is 0.4. (a) Show that this situation forms a Markov chain and find the transition matrix that models it. (b) If currently 60% of men are fat and 40% are thin, what percent of the males will be fat after two generations? (c) In the long run, what will be the distribution of fat and thin males?

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