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(a) Give the transition matrix for this Markov chain. (b) Draw the transition diagram. (c) Given we start at state 1, what is the probability

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(a) Give the transition matrix for this Markov chain. (b) Draw the transition diagram. (c) Given we start at state 1, what is the probability of the trajectory 1, 2, 3, 5? (d) Identify all communicating classes and their periodicity.Consider a random walk on the following graph: In every step we are at some node of the graph (1, 2,3, 4, or 5) and go to any of its neighbours with equal probability

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