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?