Construct the transition matrix

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A particle moves on a circle through points that have been marked 0, 1, 2, 3, 4 (in a clockwise order). The particle starts at point o. At each step it has probability 0.5 of moving one point clock (0 follows 4) and 0.5 of moving one point counterclockwise. Let x_n, (n greaterthanorequalto 0) denote its location on the circle after step n. {X_n} is a Markov chain. Construct the (one step) transition matrix.

Reference no: EM131441034

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