Answered: (S) test. The chance that a student is…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section6.7: Probability And Odds

Problem 2C

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Please answer quickly and correctly A group of Clemson students is being Covid tested on a given day. Assume that there are three different tests available, rapid (R), nose swab (N), and saliva (S) test. The chance that a student is positive (P) is 10%. The information about the accuracy of each test: Rapid Test: if the student is positive, the rapid test gives a positive result with a probability of 0.7. If the student is negative, the rapid test gives a positive result with 0.3. Nose Swap: if the student is positive, the nose swap test gives a positive result with a probability of 0.8. If the student is negative, the nose swap test gives a positive result with 0.2. Saliva Test: if the student is positive, the saliva test gives a positive result with a probability of 0.9. If the student is negative, the saliva test gives a positive result with 0.1 a. If an actually positive student randomly picks a test, what is the probability of being tested positive? b. What is the probability of the saliva test to give a positive result, regardless of the student's actual situation? c. What is the probability that the student is actually positive if the saliva test gives a positive result?

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