Question Help The table below displays results from experiments with polygraph i

Question

Question Help The table below displays results from experiments with polygraph instruments. Find P(subject lied | negative test result). Compare this result with the probability of selectinga subject with a negative test result, given that the subject lied. Are P(subject lied | negative test result) and P(negative test result | subject lied) equal? Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results Negative test results P(subject lied I negative test result) = L(Round to three decimal places as needed.) Find the probability of selecting a subject with a negative test result, given that the subject 32 lied P(negative test result I subject lied) = (Round to three decimal places as needed.) Compare the two values. Are they equal? O Yes No

Explanation / Answer

Total = 11+44+32+11 = 98

A) P(subject lied | negative test result) = P(subject lied and negative test result) / P(negative test result )

= (11/98)/((32+11)/98)

= 11/43

= 0.256

B) P(negative test result | subject lied) = P(negative test result and subject lied)/P(subject lied)

= (11/98)/((44+11)/98)

= 11/55

= 0.2

C) Option-B) No, they are not equal

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