- 3 Only One In 1000 Adults Is Afflicted With A Rare Disease For Which A Diagnostic Test Has Been Developed He Test Is S 1 (22.54 KiB) Viewed 21 times
3. Only one in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. He test is s
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3. Only one in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. He test is s
3. Only one in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. He test is such that, when an individual actually has the disease, a positive result will occur 99% of the time, while an individual without the disease will show a positive test result only 2% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease? Solutions Let 4 be the event that the individual has the disease and 4 be the event that the individual does not have the disease. Let B be positive test result Then P(A)=0.001,. P(A)=0.999 and P(B/4)=0.99 and P(B/A)=0.02. Then we have the tree diagram below.
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