Question: (6) (Random walk on the weighted graph] For each wedge we may associate a positive number called weight. 1 0 2 1 1 4 2

 (6) (Random walk on the weighted graph] For each wedge we

(6) (Random walk on the weighted graph] For each wedge we may associate a positive number called weight. 1 0 2 1 1 4 2 3 2 1 For example, in the above graph the weights are w(0, 1) w(1,2) w(2,3) = w(3,0) = 1, w(0,4) w(3,4) = 2. Let Xn be a random walk on the weighted graph with the transition probability wi,j) P(Xn+1 j\Xn = i) = Link Wi,k) Determine the transition probability matrix. Classify the states. = (6) (Random walk on the weighted graph] For each wedge we may associate a positive number called weight. 1 0 2 1 1 4 2 3 2 1 For example, in the above graph the weights are w(0, 1) w(1,2) w(2,3) = w(3,0) = 1, w(0,4) w(3,4) = 2. Let Xn be a random walk on the weighted graph with the transition probability wi,j) P(Xn+1 j\Xn = i) = Link Wi,k) Determine the transition probability matrix. Classify the states. =

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