Question: A biometric security device using fingerprints erroneously refuses to admit 0.00130 of authorized persons from a facility containing classified information. The device will erroneously admit

A biometric security device using fingerprints erroneously refuses to admit 0.00130 of authorized persons from a facility containing classified information. The device will erroneously admit 0.00000157 of unauthorized persons. Assume that 0.9143 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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