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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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