1.14 Let Xn be a Markov chain on state space {1,2,3,4,5} with transition matrix P= 0 1/2 1/2 0 0 0 0 0 1/5 4/5 0 0 0 2/5 3/5 1 0 0 0 0 1/2 0 0 0 1/2 (a) Is this...

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1.14 Let Xn be a Markov chain on state space {1,2,3,4,5} withtransition matrix

P=

01/21/200
0001/54/5
0002/53/5
10000
1/20001/2

(a) Is this chain irreducible? Is itaperiodic?

(b) Find the stationary probability vector.

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