Suppose that a population consists of a fixed number, say, m, of genes in any generation. Each
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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 any generation has exactly i (of its m) genes being type 1, then the next generation will have j type 1 (and m-j type 2) genes with probability m-im-j m j=0,1,..., m Let X, denote the number of type 1 genes in the nth generation, and assume that X = i.
(a) Find E[X].
(b) What is the probability that eventually all the genes will be type 1?
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