The table below displays results from experiments with polygraph instruments. Fi
ID: 3372211 • Letter: T
Question
The table below displays results from experiments with polygraph instruments. Find P left parenthesis subject lied | negative test result right parenthesis .P(subject lied | negative test result). Compare this result with the probability of selecting a subject with a negative test? result, given that the subject lied. Ar P left parenthesis subject lied | negative test result right parenthesisP(subject lied | negative test result) and P left parenthesis negative test result | subject lied right parenthesisP(negative test result | subject lied)
?equal?
Did the Subject Actually? Lie?
No? (Did Not? Lie)
Yes? (Lied)
Positive test results
11
41
Negative test results
33
10
?P(subject lied? | negative test
?result)equals=nothing
?(Round to three decimal places as? needed.)
Find the probability of selecting a subject with a negative test? result, given that the subject lied.
Upper P left parenthesis negative test result | subject lied right parenthesisP(negative test result | subject lied)equals=nothing
?(Round to three decimal places as? needed.)
Compare the two values. Are they? equal?
Yes?
No?
Explanation / Answer
P(subject lied) = 51/95 =0.5368
P(subject lied n negative test result)=10/95 =0.1053
P(negative test results)=43/95 =0.4526
1)
P(Subject lied | negative test result)
=P(subject lied n negative test results)/P(negative test results)
=0.1053/0.4526
=0.233
2)P(negative test result | subject lied)
=P(negative test result n subject lied)/P(subject lied)
=0.1053/0.5368
=0.196
Both values are different.
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