3. A new diagnostic test is developed for a rare disease which aspects 0.1% of all adults. Among people who actually have the disease, a positive result occurs 99% of the time, and among those who do not have the disease, a positive result occurs 2% of the time. (a) What is the probability that a random person has the disease and tests positive? (b) What is the probability the test returns positive? (c) A randomly selected individual is tested and the result is positive. What is the probability that the individual has the disease?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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3. A new diagnostic test is developed for a rare disease which aspects 0.1% of all adults. Among people who
actually have the disease, a positive result occurs 99% of the time, and among those who do not have the
disease, a positive result occurs 2% of the time.
(a) What is the probability that a random person has the disease and tests positive?
(b) What is the probability the test returns positive?
(c) A randomly selected individual is tested and the result is positive. What is the probability that the
individual has the disease?
fol
hinomi
C.... otie
Transcribed Image Text:3. A new diagnostic test is developed for a rare disease which aspects 0.1% of all adults. Among people who actually have the disease, a positive result occurs 99% of the time, and among those who do not have the disease, a positive result occurs 2% of the time. (a) What is the probability that a random person has the disease and tests positive? (b) What is the probability the test returns positive? (c) A randomly selected individual is tested and the result is positive. What is the probability that the individual has the disease? fol hinomi C.... otie
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