Question: A Markov chain has the transition matrix a 3 1/4 0 3/4 7 P= 12 1/2 0 1 0 3/4 1/4 and an initial state

 A Markov chain has the transition matrix a 3 1/4 0

A Markov chain has the transition matrix a 3 1/4 0 3/4 7 P= 12 1/2 0 1 0 3/4 1/4 and an initial state matrix XO = [3/4 1/4 0] . What is the probability that the chain will be in state 1 after two transitions? a) 2/16 b) 71/256 c) 6/16 d) 9/64 e) 31/64 f) 9/16 g) 24/64 h) 5/16 i) 14/64 k) 134/256 1) none of the others

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