Question: The following matrix gives occupational tion probab (initial generation) nonfarming farming. 0.2 nonfarming (next generation) 0.8 farming (a) If the father is a farmer,

The following matrix gives occupational tion probab (initial generation) nonfarming farming. 0.2

The following matrix gives occupational tion probab (initial generation) nonfarming farming. 0.2 nonfarming (next generation) 0.8 farming (a) If the father is a farmer, what is the probability that the son will be a farmer? (b) If there are 15,000 in the nonfarming category and 2,000 in the farming category at a certain time, what will the distribution be one generation after the initial generation? What will the distribution be four generations after the initial generation? (c) If a man is a farmer, what is the probability that his grandson will not be a farmer?

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