The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result.
Did the Subject Actually Lie? 
No (Did Not Lie) 
Yes (Lied) 


Positive test results 
1515 
4040 
Negative test results 
3030 
1212 
The probability is?
(Round to three decimal places as needed.)
Solution :
Given that
No (Did Not Lie) Yes (Lied) Total
Positive test results 1515 4040 5555
Negative test results 3030 1212 4242
Total 4545 5252 9797
put A = positive result , B = subject lied
=> we know that P(B/A) = P(A and B)/P(A)
= (4040/9797)/(5555/9797)
= 4040/5555
=> P(subject lied/positive result) = 0.727
=> The probability that the subject lied, given that the test yields a positive result is 0.727
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for...
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results Negative test results The probability is (Round to three decimal places as needed)
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