Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Statistics & Exploratory Data Analysis Markov Chains
Suppose (Xn) is a Markov Chain with 3 states and transition probability matrix
\(\left(\begin{array}{lll} \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array}\right)\).
Then which of the following statements is true?
1
{Xn} is irreducible
2
{Xn} is recurrent
3
{Xn} does not admit a stationary probability distribution
4
{Xn} has an absorbing state
5
Question Not Attempted