Solve the problem.Suppose that 5% of all adults over 40 have diabetes. A certain physician correctly diagnoses 90% 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) Draw a tree diagram and label it with appropriate probabilities.(b) Find the probability that a randomly-selected adult over 40 does not have diabetes but is diagnosed as having diabetes.(c) Find the probability that a randomly-selected adult over 40 is diagnosed as not having diabetes.(d) Find the probability that a randomly-selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes.
What will be an ideal response?
(a)
| (b) | 0.0285 |
(d)
? 0.005397
Mathematics
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