Q105Section C (Part C)105 of 120

Markov chains — classifying states of a four-state chain

Suppose that the transition probability matrix of a homogeneous Markov chain with state space $\{1,2,3,4\}$ is given by

$P=\begin{pmatrix} \frac14 & \frac34 & 0 & 0\\ 1 & 0 & 0 & 0\\ \frac18 & 0 & \frac78 & 0\\ 0 & 0 & \frac19 & \frac89 \end{pmatrix}.$

Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next