Problem 2:
The victims of a certain disease being treated at Wake Medical Center are classified annually as follows:
cured, in temporary remission, sick, or dead from the disease. Once a victim is cured, he is permanently
immune. Each year, those in remission get sick again with probability 1/4, are cured with probability 1/2, and
stay in remission with probability 1/4. Those who are sick are cured, go into remission, or die from the disease
with probability 1/3 each.
(a) Find the transition matrix.
(b) Is it a regular Markov Chain?
(c) If a victim is now in remission, find the probability he is still alive in two years.