An article states that false-positives in polygraph tests (tests in which an individual fails even though he or she is telling the truth) are relatively common and occur about 20% of the time. Suppose that such a test is given to 10 trustworthy individuals. (Round all answers to four decimal places.) (a) What is the probability that all 10 pass? P(X = 10) = (b) What is the probability that more than 2 fail, even though all are trustworthy? P(more than 2 fail, even though all are trustworthy) = (c) The article indicated that 500 FBI agents were required to take a polygraph test. Consider the random variable x = number of the 500 tested who fail. If all 500 agents tested are trustworthy, what are the mean and standard deviation of x? Mean = Standard deviation =

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An article states that false-positives in polygraph tests (tests in which an individual fails even though he or she is telling the
truth) are relatively common and occur about 20% of the time. Suppose that such a test is given to 10 trustworthy individuals.
(Round all answers to four decimal places.)
(a) What is the probability that all 10 pass?
P(X = 10) :
%3D
(b) What is the probability that more than 2 fail, even though all are trustworthy?
P(more than 2 fail, even though all are trustworthy) =
(c) The article indicated that 500 FBI agents were required to take a polygraph test. Consider the random variable
x = number of the 500 tested who fail. If all 500 agents tested are trustworthy, what are the mean and standard
deviation of x?
Mean =
Standard deviation =
You may need to use the appropriate table in Appendix A to answer this question.
Need Help?
Read It
Transcribed Image Text:An article states that false-positives in polygraph tests (tests in which an individual fails even though he or she is telling the truth) are relatively common and occur about 20% of the time. Suppose that such a test is given to 10 trustworthy individuals. (Round all answers to four decimal places.) (a) What is the probability that all 10 pass? P(X = 10) : %3D (b) What is the probability that more than 2 fail, even though all are trustworthy? P(more than 2 fail, even though all are trustworthy) = (c) The article indicated that 500 FBI agents were required to take a polygraph test. Consider the random variable x = number of the 500 tested who fail. If all 500 agents tested are trustworthy, what are the mean and standard deviation of x? Mean = Standard deviation = You may need to use the appropriate table in Appendix A to answer this question. Need Help? Read It
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