Question 3 Taha 171A4 Modified Patients suffering from kidne

Question 3. [Taha 17.1A.4 Modified] Patients suffering from kidney failure undergo periodic dialysis till they have a chance for a kidney transplant. During any one year, 30% of the patients on dialysis undergo cadaveric transplants and 10% receive living-donor kidneys. In the year following a transplant 30% of the cadaveric transplants and 15% of living-donor recipients go back to dialysis. Death percentages among these two groups are 20% and 10% respectively. Of those in the dialysis pool, 10% die and of the ones who survive more than one year after a transplant, 5% die and 5% go back to dialysis. 1

(a) Define the state set for the Markov chain.

(b) Draw the Markov chain state transition diagram

Solution