8) The following table summarizes the results from 98 experiments with polygraph

Question

8) The following table summarizes the results from 98 experiments with polygraph instruments: (Make sure to add the "total" row and column before calculating the probability) Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) 15 42 Positive test result (Polygraph test indicated that the subject lied.) (false positive) (true positive) Negative test result (Polygraph test indicated that the subject did not lie.) 32 (true negative) (false negative) (a) If 3 test subjects are randomly selected without replacement, find the probability that they all had false positive results. (2pts) (b) If one of the test subjects is selected at random, find P(negative test result given the subject did not lie) (2pts)

Explanation / Answer

a) P(false positive result) = 15C3/98C3 = 0.003

b) P(negative test result | the subject did not lie) = 32/98 = 0.3265

                                

           

             

                

            

      

              

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