You Are Given a Transition Matrix P $$P = \left[ \begin{array} { c c c } 0.3 & 0 & 0.7 \\1 & 0 & 0 \\0 & 0.6 & 0.4\end{array} \right]$$

Multiple Choice

You are given a transition matrix P. Find the steady-state distribution vector. $$P = \left[ \begin{array} { c c c } 0.3 & 0 & 0.7 \\1 & 0 & 0 \\0 & 0.6 & 0.4\end{array} \right]$$

A) The steady-state distribution vector is $\left[ \frac { 11 } { 43 } \frac { 32 } { 43 } \quad \frac { 11 } { 43 } \right]$
B) The steady-state distribution vector is $\left[ \frac { 35 } { 86 } \quad \frac { 15 } { 43 } \frac { 21 } { 86 } \right]$
C) The steady-state distribution vector is $\left[ \begin{array} { l l l } \frac { 15 } { 43 } & \frac { 21 } { 86 } & \frac { 35 } { 86 }\end{array} \right]$
D) The steady-state distribution vector is $\left[ \frac { 25 } { 86 } \quad \frac { 13 } { 43 } \frac { 35 } { 86 } \right]$
E) The steady-state distribution vector is $\left[ \frac { 21 } { 86 } \quad \frac { 15 } { 43 } \frac { 35 } { 86 } \right]$