Incidence of a rare disease. Only 1 in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. The test is such that when an individual actually has the disease, a positive result will occur 99% of the time, whereas 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? O a. P=0.01998 O b. P=0.00099 O C. P= 0.047 O d. P=0.02097

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 32E
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Incidence of a rare disease. Only 1 in 1000 adults is afflicted with a rare disease for which a
diagnostic test has been developed. The test is such that when an individual actually has the
disease, a positive result will occur 99% of the time, whereas 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?
O a. P=0.01998
O b. P=0.00099
O C. P= 0.047
O d. P=0.02097
Transcribed Image Text:Incidence of a rare disease. Only 1 in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. The test is such that when an individual actually has the disease, a positive result will occur 99% of the time, whereas 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? O a. P=0.01998 O b. P=0.00099 O C. P= 0.047 O d. P=0.02097
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