Consider the following process: Two animals are mated and among their direct descendants two individuals of opposite sex

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Consider the following process: Two animals are mated and among their direct descendants two individuals of opposite sex

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Consider The Following Process Two Animals Are Mated And Among Their Direct Descendants Two Individuals Of Opposite Sex 1
Consider The Following Process Two Animals Are Mated And Among Their Direct Descendants Two Individuals Of Opposite Sex 1 (50.68 KiB) Viewed 13 times
Consider the following process: Two animals are mated and among their direct descendants two individuals of opposite sex are selected at random. These individuals are mated and the process continues. Suppose that each individual can be of one of three genotypes, AA, Aa, aa, and suppose that the type of offspring is determined by selecting a letter from each parent. With these rules, the pair of genotypes in the nth generation is a Markov chain with six states, (AA, AA), (AA, Aa), (AA, aa), (Aa, Aa), (Aa, aa), (aa, aa). (a) Compute its transition matrix. (b) Compute P(X6 = (Aa, Aa) | Xo = (AA, Aa)). (Feel free to get help from a computer.)
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