The medical prognosis for a patient with a certain disease is to recover, to die, to exhibit symptom 1, or to exhibit symptom 2. The matrix of transition probabilities is $$\begin{array} { c | c c c c }
& \text { Recover } & \text { Die } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } \
\hline \text { Recover } & 1 & 0 & 0 & 0 \
\text { Die } & 0 & 1 & 0 & 0 \
\mathrm {~S} _ { 1 } & 1 / 4 & 1 / 4 & 1 / 3 & 1 / 6 \
\mathrm {~S} _ { 2 } & 1 / 4 & 1 / 8 & 1 / 8 & 1 / 2
\end{array}$$
a.What are the absorbing states?
b.What is the probability that a patient with symptom 2 will recover?

Question

The medical prognosis for a patient with a certain disease is to recover, to die, to exhibit symptom 1, or to exhibit symptom 2. The matrix of transition probabilities is $$\begin{array} { c | c c c c } 
& \text { Recover } & \text { Die } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } \
\hline \text { Recover } & 1 & 0 & 0 & 0 \
\text { Die } & 0 & 1 & 0 & 0 \
\mathrm {~S} _ { 1 } & 1 / 4 & 1 / 4 & 1 / 3 & 1 / 6 \
\mathrm {~S} _ { 2 } & 1 / 4 & 1 / 8 & 1 / 8 & 1 / 2
\end{array}$$ 
a.What are the absorbing states?
b.What is the probability that a patient with symptom 2 will recover?

Quizplus · Accepted Answer

The Answer of The medical prognosis for a patient with a certain disease is to recover, to die, to exhibit symptom 1, or to exhibit symptom 2. The matrix of transition probabilities is $$\begin{array} { c | c c c c } 
& \text { Recover } & \text { Die } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } \
\hline \text { Recover } & 1 & 0 & 0 & 0 \
\text { Die } & 0 & 1 & 0 & 0 \
\mathrm {~S} _ { 1 } & 1 / 4 & 1 / 4 & 1 / 3 & 1 / 6 \
\mathrm {~S} _ { 2 } & 1 / 4 & 1 / 8 & 1 / 8 & 1 / 2
\end{array}$$ 
a.What are the absorbing states?
b.What is the probability that a patient with symptom 2 will recover?

The Medical Prognosis for a Patient with a Certain Disease