1 Point It Is Estimated That Approximately 8 43 Americans Are Aflicted With Diabetes Suppose That A Certain Diagnost 1 (20.75 KiB) Viewed 77 times
(1 point) It is estimated that approximately 8.43% Americans are aflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes we correctly diagnose 97.6% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3% of all adults over 40 without diabetes as having the disease a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives") 0.027471 b) Find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes, 1.875029 c) Find the probability that a randomly selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "alse negatives"). 0.52628519 (Note: it will be helpful to first draw an appropriate tree diagram modeling the situation)
(1 point) Transplant operations have become routine and one common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body mayroject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of people who do reject the transplant test negative, and 9% of people who do not reject the transplant test positive. Physicians know that in about 32% of kidney transplants the body tries to reject the organit the new test has a positive result indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney? Probability
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