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How the Environment Impacts Society - Markov Chains. We will now study stochastic processes, experiments in which the outcomes of events depend on the previous outcomes. Such a process or experiment is called a Markov Chain or Markov process was first studied by a Russian mathematician named Andrei A. Markov . De nition A Markov Chain is a stochastic process satisfying P(X n = jjX n 1 = i n 1;;X 0 = i 0) = P(X n = jjX n 1 = i n 1) This is called the Markov property [2]. This paper will only consider Markov chains with discrete state space and discrete time. Furthermore the focus will lie solely in time-homogeneous Markov chains. Essay Writing Show that all two-state Markov chains, except for the trivial chain whose transition matrix is the identity matrix, are time reversible. Show that if X0, X1, is reversible, then for the chain in stationarity for all i0, i1, , in. The Importance of Having Adequate Sex Education in the High Schools

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