Question: A Markov chain has transition matrix (a) Show that the stationary distribution is Ï = (1/4, 1/4, 1/8, 3/8). (b) The Markov chain can be

A Markov chain has transition matrix

b. 1/4 1/4 1/2 0 3/4 0 1/2 d 1/3 1/2 1/6 b| 1/4 0 1/2

(a) Show that the stationary distribution is Ï€ = (1/4, 1/4, 1/8, 3/8).
(b) The Markov chain can be regarded as a random walk on a weighted graph. Determine the graph and the weights.

b. 1/4 1/4 1/2 0 3/4 0 1/2 d 1/3 1/2 1/6 b| 1/4 0 1/2

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