Question

.) Under the infinite sites model of mutation, mtations are assumed to happen at a constant rate u per individual per generation and cach mutation is assumed to occur at a different site. It can be shown, using the law of rare events, that the number of mutations that occur along a lincage is Poisson distributed, with mean ut, wheret is the length of the lincage in generations For the following questions, we will assume that mutation is governed by the infinite sites model and that the mutation rate u is known. (a) Suppose that two individuals are sampled at random from population and that the most recent common ancestor of this pair lived t generations in the past. Find the distribution of the number of sites at which these two individuals have different nucleotides b) Now suppose that t is unknown, but that the two individuals differ at exactly ksites. Use this data to find the maximum likclihood estimate of t

Answer 1

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