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Wright-Fisher model) Consider a model of a population with constant size N and types E = {1,2}. Let Xn be the number of type 1

Wright-Fisher model) Consider a model of a population with constant size N and types E = {1,2}. Let Xn be the number of type 1 individuals at time n. The evolution is described as follows: the distribution of Xn+1 is Binomial(N, k N ) conditioned on the event Xn = k, k {0,1,...,N}. (i) Write down the transition matrix of the Markov chain X0,X1, ... (ii) Is this Markov chain irreducible? Does it have stationary distributions?

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