A. Find P (subject lied| negative test result). In other words, find the probabi

Question

A. Find P (subject lied| negative test result). In other words, find the probability of randomly selecting a subject who lied, given that he/she had a negative test result.
B. Find P (negative test result| subject lied). In other words, find the probability of randomly selecting a subject who had a negative test result, given that he/she lied.
C. Are the probabilities in A. and B. equal?
D. What is the probability of randomly selecting 2 subjects with replacement where the first subject lied, given a negative test result, and the second subject had a negative test result, given that the subject lied?

illstnuments. Use the furrnula lor romult cna pruhability an page 69 from sectiuri 4.5. Yes [Lied Did Not Liel NegatNe test results. ed I nerative Le ngl eracrus, find the probabi endomly Fillu Plsubjec selecting a subject whD rd, given that he'slte had a negative test result

Explanation / Answer

a) P (subject lied| negative test result) =12/49

b) P (negative test result| subject lied)=12/55

c)No

d)probability of that =(12/49)*(12/55)=0.0534

not lie lied total +ve test 15 43 58 -ve test 37 12 49 total 52 55 107

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