29. Suppose that a population consists of a fixed number, say m9 of genes in any generation. Each gene is one of two possible genetic types. If any generation has exactly / (of its m) genes being type 1, then the next generation will have j type 1 (and m - j type 2) genes with probability Let Xn denote the number of type 1 genes in the A?th generation, and assume that X0 = /.

(a) Find

(b) What is the probability that eventually all the genes will be type 1?