Score: 0 of 1 pt 23 of 30 (27 complete) N Score: 87.22% , 26.17 o 4.4.16 Questio

Question

Score: 0 of 1 pt 23 of 30 (27 complete) N Score: 87.22% , 26.17 o 4.4.16 Question Help * The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts (a) and (b) below Are these events unlikely? a. Four of the test subjects are randomly selected with replacement, and they all had true negative test results b. Four of the test subjects are randomly selected without replacement, and they all had true negative test results. bef Click on the icon to view the data table a. The probability that all four test subjects had a true negative test result when they are randomly selected with replacement is For Polygragh Test Results O Yes (Lied) 30 No (Did Not Lie) tive test result (false positive) (true positive) is by (Positive test indicated that the subject lied.) 10 49 test result (true negative) (talse negative) Polygraph test indicated that the subject did not lie.) e to PrintDone

Explanation / Answer

Total number of subjects = 7 + 30 + 49 + 10 = 96

a) In case of with replacement,

P(All four has true negative) = (49/96)4 = 0.068

b) In case of without replacement,

P(All four has true negative) = (49/96)*(48/95)*(47/94)*(46/93) = 0.064

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