Brother-sister mating. Two parents are selected at random from a popu- lation in which the genotypes AA, Aa, aa occur with frequencies u, 2v, w. This process is repeated in their progeny. Find the probabilities that both parents of the first, second, third filial generation belong to AA [cf. examples XV, (2.j) and XVI, (4.b)].24. Limiting form of the Polya distribution. If no, p0, y 0 so that np, ny p, then for fixed n -> P()()() = (2p+ m = 1) ( I + Verify this and show that for fixed 2, p the terms on the right add to unity. (The right side represents the so-called negative binomial distribution; cf. VI, 8, and problem 37 in VI, 9.)