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New Member
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Feb 27, 2010, 11:31 PM
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probability help
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?
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Junior Member
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Feb 27, 2010, 11:56 PM
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Out of x persons, 95% are authorized. 1/1000 are refused.
Out of x persons, 5% are unauthorized. 999,999/1,000,000 are refused.
So: (x*.95*1/1000)/(x*.05*999,999)=.00095/.0499995=.019
So there is a 1.9% chance that the person was really authorized.
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New Member
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Sep 23, 2012, 12:24 PM
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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 1,018,000 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?
Does anyone knows the answer to this?
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Ultra Member
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Sep 24, 2012, 06:38 PM
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What does this to do with economics?
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New Member
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Sep 23, 2013, 09:48 AM
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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?
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Ultra Member
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Sep 23, 2013, 02:24 PM
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See the post above by leifweaver.
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