Q # 2: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings: Find the probability that a person has the virus given that his test outcome is positive.Find the probability that a person does not have the virus given that his test outcome is negative.Find the probability that a person has the virus given that his test outcome is negative.

Answered: Find the probability that a person has…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 44E

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Q # 2: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings:

Find the probability that a person has the virus given that his test outcome is positive.
Find the probability that a person does not have the virus given that his test outcome is negative.
Find the probability that a person has the virus given that his test outcome is negative.

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