Morris’s kidneys have failed and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition. Of those patients who get matched with a kidney, 90% survey the transplant operation and 10% do not. The transplant succeeds in 60% of those who survive and the other 40% must return to kidney dialysis. The proportions of those who survive for at least 5 years post transplant is 70% for those who had a successful transplant and 50% for those who return to dialysis. Assuming Morris is matched with a kidney, what is his chance of surviving 5 years post transplant. It may be helpful to draw a tree diagram to solve this problem.
Morris’s kidneys have failed and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition. Of those patients who get matched with a kidney, 90% survey the transplant operation and 10% do not. The transplant succeeds in 60% of those who survive and the other 40% must return to kidney dialysis. The proportions of those who survive for at least 5 years post transplant is 70% for those who had a successful transplant and 50% for those who return to dialysis. Assuming Morris is matched with a kidney, what is his chance of surviving 5 years post transplant. It may be helpful to draw a tree diagram to solve this problem.
Given information:
The probability of surviving post-transplant is 0.90 and the probability of dying is 0.10.
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