Let {Xₙ | n=1,…} be a Markov process with state space {1,2,3} and transition matrix $$\left( \begin{array} { l l l }
.18 & .26 & .56 \
.11 & .61 & .28 \
.22 & .34 & .44
\end{array} \right)$$ If X₁ is in state 1, find the expected number of transitions until getting to 2 or 3 for the first time.

Question

Let {Xₙ | n=1,…} be a Markov process with state space {1,2,3} and transition matrix $$\left( \begin{array} { l l l } 
.18 & .26 & .56 \
.11 & .61 & .28 \
.22 & .34 & .44
\end{array} \right)$$ If X₁ is in state 1, find the expected number of transitions until getting to 2 or 3 for the first time.

Quizplus · Accepted Answer

The Answer of Let {Xₙ | n=1,…} be a Markov process with state space {1,2,3} and transition matrix $$\left( \begin{array} { l l l } 
.18 & .26 & .56 \
.11 & .61 & .28 \
.22 & .34 & .44
\end{array} \right)$$ If X₁ is in state 1, find the expected number of transitions until getting to 2 or 3 for the first time.

Let {Xₙ | N=1,…} Be a Markov Process with State (.18.26.56.11.61.28.22.34.44)\left( \begin{array} { l l l } .18 & .26 & .56 \\.11 & .61 & .28 \\.22 & .34 & .44\end{array} \right)​.18.11.22​.26.61.34​.56.28.44​​

Let {Xₙ | N=1,…} Be a Markov Process with State $\left( \begin{array} { l l l } .18 & .26 & .56 \\.11 & .61 & .28 \\.22 & .34 & .44\end{array} \right)$