Mathematics · Markov Chains
Let {Xn : n ≥ 0} be a Markov chain with state space ℕ ∪ {0} such that the transition probabilities are given by pij = q for j = 0, pij = 1 - q for j = i + 1, and pij = 0 otherwise, where 0 < q < 1. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The Markov chain is null recurrent
- 2p00(n) = qn for all n ≥ 1
- 3The Markov chain is transient
- 4The Markov chain is irreducible✓
Correct answer
The Markov chain is irreducible
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