*47. Let denote an ergodic Markov chain with limiting probabilities . Define the processI mage. That is,I...

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*47. Let denote an ergodic Markov chain with limiting probabilities . Define the processI mage. That is,I mage keeps track of the last two states of the original chain. IsI mage a Markov chain?

If so, determine its transition probabilities and find Image

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