Question

let event a = subject is telling the truth and event b = polygraph test indicates that the subject is lying. use your own words to translate the notation p(b|a) into a verbal statement.

choose the correct option below.

a. the probability that the polygraph indicates truthfulness given that the subject is actually telling the truth.
b. the probability that the polygraph indicates lying given that the subject is actually telling the truth.
c. the probability that the polygraph indicates truthfulness given that the subject is actually lying.
d. the probability that the polygraph indicates lying given that the subject is actually lying.

Explanation:

In probability, $P(B|A)$ represents the conditional probability of event $B$ occurring given that event $A$ has occurred. Here, event $A$ is the subject telling the truth and event $B$ is the polygraph indicating lying.

Answer:

B. The probability that the polygraph indicates lying given that the subject is actually telling the truth.