Question: Let X be a time invariant Markov chain with state space A = {0,1} and transition probabilities: p(010) = 0.4, p(1|0) = 0.6, p(0|1)

Let X be a time invariant Markov chain with state space A

Let X be a time invariant Markov chain with state space A = {0,1} and transition probabilities: p(010) = 0.4, p(1|0) = 0.6, p(0|1) = 0.25, p(1|1) = 0.75. (1) Draw the transition graph and write the transition matrix of the Markov chain. (2) Compute the stationary distribution of the Markov chain. (3) Compute the entropy rate of the Markov chain.

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