Consider a Markov chain with state space S = {0, 1, 2, ...} and transition probabilities given as follows: p0,j = 1 / (j! e) for j ≥ 0 pi,i-1 = 1 for i > 0 and i odd; pi,i+1 = 1 for i > 0 and i even. Which of the following statements is true?

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Mathematics · Markov Chains

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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State zero is a transient state.

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Answer 1

State zero is a transient state.

Answer 2

There are infinitely many recurrent classes.

Answer 3

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Answer 4

The chain is irreducible.

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