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Homework: Section 4-4 HW Score: 0 of 1 pt 4.4.16 3of9(2 complete) HW Score: 16 6

ID: 3052432 • Letter: H

Question

Homework: Section 4-4 HW Score: 0 of 1 pt 4.4.16 3of9(2 complete) HW Score: 16 67%. The accompanying table contains the results from experiments with a polygraph instrument Find the probablises of the everts in parts (a) and (hj bake A events unlikely? a. Four of the test subjects are randomly selected with replacement and they al had true negative test resubs b. Four of the test subjects are randomly selected without replacement, and they al had true negative test results Click on the icon to view the data table a. The probability that all four test subjects had a true negative test resut when they are randomly selectod with replacement (Round to three decimal places as needed ) Polygragh Test Results NOTOd Not Liel- Yes (Lledy_ (false positive) (tra postive) 19 15 nepihei ositive test result ositive test indicated that the subject lied ) egative test result ima negatvei Polygraph test indicated that the subject did not liel Enter your answer in the Print Done parts emaning

Explanation / Answer

Result:

No lie

lied

Total

Test +ve

8

19

27

Test -ve

44

15

59

Total

52

34

86

a). with replacement, P = (44/86)*(44/86)*(44/86)*(44/86)

=0.06852

=0.069   ( three decimals).

a). without replacement, P = (44/86)*(43/85)*(42/84)*(41/83)

=0.063926

=0.064   ( three decimals).

No lie

lied

Total

Test +ve

8

19

27

Test -ve

44

15

59

Total

52

34

86