A federal report finds that lie detector tests given to truthful persons have probability about 0.12 of suggesting that the person is deceptive.
(a) A company asks 14 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 14 answer truthfully. What is the probability that the lie detector says all 14 are truthful?
What is the probability that the lie detector says at least 1 is deceptive?
(b) What is the mean number among 14 truthful persons who will be classified as deceptive?
What is the standard deviation of this number?
(c) What is the probability that the number classified as deceptive is less than the mean?