44. Suppose that a population consists of a fixed number, say, m, of genes in any generation. Each gene is one of two possible genetic types. If exactly i (of the m) genes of any generation are of type 1, then the next generation will have j type 1 (andI mage type 2) genes with probability Image Let denote the number of type 1 genes in the nth generation, and assume that .

(a) Find .

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