A biometric security device using fingerprints erroneously refuses to admit 1 in 1,000 authorized…

A biometric security device using fingerprints erroneously
refuses to admit 1 in 1,000 authorized persons from a facility containing
classified information. The device will erroneously admit 1 in 1,000,000
unauthorized persons. Assume that 95 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? (Data are from High
Technology, February 1987, p. 54.)

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