Consider the Markov chain shown below, where 0 p< 1 and the labels on the arrows

Chapter 11, Problem 4

(choose chapter or problem)

Consider the Markov chain shown below, where 0 p< 1 and the labels on the arrows indicate transition probabilities. 1 p 2 1-p 1-p p (a) Write down the transition matrix Q for this chain. (b) Find the stationary distribution of the chain. (c) What is the limit of Qn as n 1 0.520.5 0.250.753 0.2540.75 0.750.25

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