Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Statistics & Exploratory Data Analysis Markov Chains
Let's consider that S = {1, 2, 3, 4, 5} and a Markov chain on these state spaces with the following transition probability matrix \(P =\begin{bmatrix} 0.1 & 0.2 & 0.3 & 0.4 &0.0 \\ 0.3 & 0.2 & 0.1 & 0.4 & 0.0\\ 0.1& 0.4 &0.2& 0.3& 0.0\\ 0.2& 0.2& 0.4 &0.1 &0.1\\ 0.1 &0.3 & 0.2 & 0.1 &0.3\\ \end{bmatrix} \) Based on this transition probability matrix, which of the following statements is true?
1
State 5 is an absorbing state.
2
This matrix represents a regular Markov chain.
3
No state can be reached from State 3.
4
The chain is irreducible.
5
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