What is the probability that a randomly selected person from the population tests positive?

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.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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You've Got Cooties! A certain medical test has the following reliability: if a person
has cooties the test will show positive with probability 0.95. If a person does not
have cooties, the test will show negative with probability 0.6. Overall, 10% of the
population has cooties. Give your answers as percentages with two decimal digits,
e.g. 93.42%.
Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties "free". P =
test is positive for the disease. N = test is negative for the disease.
Transcribed Image Text:You've Got Cooties! A certain medical test has the following reliability: if a person has cooties the test will show positive with probability 0.95. If a person does not have cooties, the test will show negative with probability 0.6. Overall, 10% of the population has cooties. Give your answers as percentages with two decimal digits, e.g. 93.42%. Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties "free". P = test is positive for the disease. N = test is negative for the disease.
What is the probability that a randomly selected person from the population tests
positive?
O 1) 0%
O2) 100%
3) 9.5%
4) 10%
5) 95%
6) 45.5%
Transcribed Image Text:What is the probability that a randomly selected person from the population tests positive? O 1) 0% O2) 100% 3) 9.5% 4) 10% 5) 95% 6) 45.5%
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