Question 1201523: Before being allowed to enter a maximum-security area at a military installation, a person must pass three independent identification tests: a voice-pattern test, a fingerprint test, and a handwriting test. If the reliability of the first test is 97%, that of the second test is 98.5%, and that of the third is 98.5%, what is the probability that this security system will allow an improperly identified person to enter the maximum-security area? (Round your answer to seven decimal places.)
Answer by ikleyn(52880) (Show Source):
You can put this solution on YOUR website! .
Before being allowed to enter a maximum-security area at a military installation, a person must pass
three independent identification tests: a voice-pattern test, a fingerprint test, and a handwriting test.
If the reliability of the first test is 97%, that of the second test is 98.5%, and that of the third is 98.5%,
what is the probability that this security system will allow an improperly identified person
to enter the maximum-security area? (Round your answer to seven decimal places.)
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In this problem, it is unclear what these percents mean.
For example, regarding 97%,
- is it the fraction of those who are allowed AND identified by the system
as passed this test,
- or it is the fraction of those who are not allowed AND identified by the system
as failed this test.
Or BOTH ?
Or something different ?
Clarification is needed.
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