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

Explanation:

The notation $P(B|A)$ represents conditional - probability. Here, $A$ is the event that the subject is telling the truth and $B$ is the event that the polygraph test indicates the subject is lying. So, $P(B|A)$ is the probability of event $B$ occurring given that event $A$ has occurred.

Answer:

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