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Problem 6.3 Within a certain society of individuals, there is a certain gene pair where each gene in the pair can have one of two types: A or a. This leaves {AA, Aa, aa} as the possible gene pairs an individual has. Assuming that each offspring in the society gets one of the two genes in the pair from each of its two parents, we can reasonably model the gene pair motility through descendancy as a stationary discrete time Markov chain (X70210 with states 5' 2 {AA, Aa, am}, where Xn represents the gene pair of the nth descendant (we will ignore issues such as death of an individual before having another descendant). Assume that the transition matrix for this process 18 .6 P: .2 0 Ki'cnip 0 .2 .3 For each gene pair 9 E S, what is the long run probability that the (far future) descendants have gene pair 9