Mathematics · Markov Chains
Consider a Markov chain with state space {0, 1, 2} and the transition probability matrix P given by: P = ⌈ 0 1/2 1/2 ⌉| 3/4 0 1/4 |⌊ 3/4 3/4 0 ⌋ Let Pij(n) denote the n-step transition probability from state i to state j. Which of the following statements is true?
- 1P00(2) = 34
- 2P10(3) = 3964✓
- 3The stationary probability that the chain is in state 2 is 27.
- 4State 1 is transient.
Correct answer
P10(3) = 3964
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