Question: 5.3.3 In Problem 5.3.2 it was assumed that every man has one son. Assume now that the probability that a man has a son is
5.3.3 In Problem 5.3.2 it was assumed that every man has one son. Assume now that the probability that a man has a son is T . Define a Markov chain with four states, where the first three states are as in Problem 5.3.2, and the fourth state is entered when a man has no son. This state cannot be left (it corresponds to a male line of the family dying out). Find the probability that an unskilled laborer has a grandson who is a professional man.
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