A biometric security device using fingerprints erroneously refuses to admit 2 in 1,000 authorized persons from a facility containing classified information. The device will erroneously admit 2 in 1,001,000 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?

A biometric security device using fingerprints erroneously refuses to admit 2 in 1,000 authorized persons from a facility containing classified information. The device will erroneously admit 2 in 1,001,000 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?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter17: Making Decisions With Uncertainty

Section: Chapter Questions

Problem 7MC

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A biometric security device using fingerprints erroneously refuses to admit 3 in 1,500 authorized persons from a facility containing classified information. The device will erroneously admit 3 in 1,005,000 unauthorized persons. Assume that 98 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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