In a medical prognosis model, there are three states for a person: well, ill and dead. We are given that the prob. one states well given that the person is well is 0.3. The prob. one becomes ill given that one is well is 0.5. The prob. one states ill given that one is ill is 0.5 and the probability one becomes well if that person is ill is 0.5.

Question

In a medical prognosis model, there are three states for a person: well, ill and dead. We are given that the prob. one states well given that the person is well is 0.3. The prob. one becomes ill given that one is well is 0.5. The prob. one states ill given that one is ill is 0.5 and the probability one becomes well if that person is ill is 0.5. 
Find the transition matrix P for the Markov chain.

Kyle Booker · Answer

The matrix look like this: W I D W [0.3 0.5 0] I [0.5 0.5 0] D [0.2 0 1] Though, it states that it is impossible for an ill person to die. Are you sure the question is correct?