# Probability of a Lie Detector

• Sep 9th 2009, 07:50 PM
rabbitvivian
Probability of a Lie Detector
Hey, Guys. I met a problems when I am doing the Statistics homework. I really need your helps. Thank you so much. The problem is :
There is a Lie Detector. In the Past experience, the accuracy rate tof the detectore is from 92% to 99%. To gain some insight into the risks that emplyees face when taking a lie detector test, suppose that the probability if .05 that a lie detector concludes that a person is lying who, in fact, is telling the truth and suppose that any pair of test are independent. What is the probability that a machine will conclude that :
a. each of three employees is lying when all are telling the truth?
b. at least one of the three employees is lying when all are telling the truth?
Thank you guys sooooo much !
• Sep 9th 2009, 07:59 PM
CaptainBlack
Quote:

Originally Posted by rabbitvivian
Hey, Guys. I met a problems when I am doing the Statistics homework. I really need your helps. Thank you so much. The problem is :
There is a Lie Detector. In the Past experience, the accuracy rate tof the detectore is from 92% to 99%. To gain some insight into the risks that emplyees face when taking a lie detector test, suppose that the probability if .05 that a lie detector concludes that a person is lying who, in fact, is telling the truth and suppose that any pair of test are independent. What is the probability that a machine will conclude that :
a. each of three employees is lying when all are telling the truth?
b. at least one of the three employees is lying when all are telling the truth?
Thank you guys sooooo much !

The number of false positives has a binomial distribution B(3,0.05)

CB
• Sep 9th 2009, 08:15 PM
rabbitvivian
Thank you so much. But could you tell me how to get the answer?
• Sep 10th 2009, 03:04 AM
pedrosorio