If a person tests negative, what is the probability that the person is actually free of the disease?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.
If a person tests negative, what is the probability that the person is actually free of
the disease?
1) 54%
O2) 100%
3) 54.5%
4) 60%
5) 99.08%
6) 93.11%
Transcribed Image Text:If a person tests negative, what is the probability that the person is actually free of the disease? 1) 54% O2) 100% 3) 54.5% 4) 60% 5) 99.08% 6) 93.11%
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