A biometric security device using fingerprints erroneously refuses to admit 1 in 1,800 authorized persons from a facility containing classified information. The device will erroneously admit 1 in 1,015,000 unauthorized persons. Assume that 90 percent of those who seek access are authorized.If the alarm goes off and a person is refused admission, what is the probability that the person was really authorized?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A biometric security device using fingerprints erroneously refuses to admit 1 in 1,800 authorized persons from a facility containing classified information. The device will erroneously admit 1 in 1,015,000 unauthorized persons. Assume that 90 percent of those who seek access are authorized.

If the alarm goes off and a person is refused admission, what is the probability that the person was really authorized?

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