Question 356122
Note: I rounded all calculations to 3 decimal places.
.95*.04=.038 of population correctly diagnosed as diabetic.
.03*.96=.029 of pop. incorrectly diagnosed as diabetic.
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9)
1-.038-.029=.933 probability that a randomly-selected adult over 40 is diagnosed as not having diabetes by this physician.
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10)
.002/(.931+.002)=.002/.933=.002 probability that a randomly-selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes.
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Ed