Patients suffering from kidney failure can either get a transplant or undergo periodic dialysis. During any...

 

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Patients suffering from kidney failure can either get a transplant or undergo periodic dialysis. During any 1 year, 25% undergo cadaveric transplants, and 12% receive living-donor kidneys. In the year following a transplant, 20% of the cadaveric transplants and 10% of living-donor recipients go back to dialysis. Death percentages among the two groups are 30% and 16%, respectively. Of those in the dialysis pool, 15% die, and of those who survive more than one year after transplant, 4% die and 5% go back to dialysis. a) Represent the situation as a Markov chain. b) For a patient who is currently on dialysis, what is the probability of receiving a transplant in 2 years? c) For a patient who is currently on dialysis, what is the probability of them dying in 3 years? d) For a patient that is currently more-than-one-year survivor, what is the probability of surviving 3 more years? Patients suffering from kidney failure can either get a transplant or undergo periodic dialysis. During any 1 year, 25% undergo cadaveric transplants, and 12% receive living-donor kidneys. In the year following a transplant, 20% of the cadaveric transplants and 10% of living-donor recipients go back to dialysis. Death percentages among the two groups are 30% and 16%, respectively. Of those in the dialysis pool, 15% die, and of those who survive more than one year after transplant, 4% die and 5% go back to dialysis. a) Represent the situation as a Markov chain. b) For a patient who is currently on dialysis, what is the probability of receiving a transplant in 2 years? c) For a patient who is currently on dialysis, what is the probability of them dying in 3 years? d) For a patient that is currently more-than-one-year survivor, what is the probability of surviving 3 more years?

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a The Markov chain for this situation is as follows State 1 Dialysis State 2 Cadaveric Transplant State 3 Livingdonor Transplant State 4 Morethanoneye... View the full answer