2013 IJC P2 Q5
2013 IJC P2 Q5
4 marks
Prelims
Diabetes is present in \(27\%\) of the elderly population. In a health screening exercise, a quick test for diabetes is used, but the test is not totally reliable. It has \(0.98\) probability of giving a positive result when an elderly has diabetes, and \(0.04\) probability of giving a positive result when an elderly does not have diabetes. A randomly chosen elderly is given the test. Find the probability that
- the result of the test is positive,[2]
- the elderly has diabetes given that the result of the test is positive.[2]
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Answer:(i) 0.2938; (ii) 1323/1469 = 0.901 (3 s.f.).
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