Suppose 10% of the population of WVU students has tested positive for COVID-19, W, represents the part of the population that has tested positive and W2 represents those who tested negative. X denotes a test result that the person has tested positive for COVID- 19. P(W) = 0.10 individual tested positive P(W2) = 0.90 Individual tested negative P(X|W,) = 0.80 test shows the individual tested positive and is correct P(X|W2) = 0.30 test incorrectly shows the individual is positive Randomly select an individual and preform the test. The result shows the person tested positive, what is the probability that the test is correct? Use Bayes' theorem to solve. Round your answer to three decimal places.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose 10% of the population of WVU students has
tested positive for COVID-19, W, represents the part of
1.
the population that has tested positive and W,
represents those who tested negative. X denotes a test
result that the person has tested positive for COVID-
19.
P(W,)=D0.10 individual tested positive
%3D
P(W,) = 0.90 Individual tested negative
P(X|W,) = 0.80 test shows the individual tested positive
%3D
and is correct
P(X|W,) = 0.30 test incorrectly shows the individual is
positive
Randomly select an individual and preform the test.
The result shows the person tested positive, what is
the probability that the test is correct? Use Bayes'
theorem to solve.
Round your answer to three decimal places.
Transcribed Image Text:Suppose 10% of the population of WVU students has tested positive for COVID-19, W, represents the part of 1. the population that has tested positive and W, represents those who tested negative. X denotes a test result that the person has tested positive for COVID- 19. P(W,)=D0.10 individual tested positive %3D P(W,) = 0.90 Individual tested negative P(X|W,) = 0.80 test shows the individual tested positive %3D and is correct P(X|W,) = 0.30 test incorrectly shows the individual is positive Randomly select an individual and preform the test. The result shows the person tested positive, what is the probability that the test is correct? Use Bayes' theorem to solve. Round your answer to three decimal places.
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