Let P^(1) and P^(2) denote transition probability matrices for ergodic Markov chains having the same state space. Let π^1 and π^2 denote the stationary (limiting) probability vectors for the two chains. Consider a process defined as follows: (i) X0=1. A coin is then flipped and if it comes up heads, then the remaining states X1, …are obtained from the transition probability matrix P^(1) and if tails from the matrix P^(2). Is {Xn, n ⩾0} a Markov chain? If p=P{ coin comes up heads }, what is limn

SOLVED: Given the following (one-step) transition matrices of a Markov chain, determine the classes of the Markov chain and whether they are recurrent; State(a) P=3 LoState01 0 0 ! 0 1(b) P=

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