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Answer :
Final answer:
For a population of one million people with 100 terrorists, a 95% effective test would spot 95 terrorists, miss 5, and incorrectly flag 49,995 innocent people as terrorists.
Explanation:
This is a problem of probability and statistics. Given that the test is 95% effective, with 100 terrorists in the population:
- The number of genuine terrorists that will be found = 95% * 100 = 95 terrorists.
- The number of terrorists that will escape detection (false non-matches) = 100 - 95 = 5 terrorists.
- The number of innocent people that will be flagged as terrorists (false matches) = 5% * (1,000,000 - 100) = 49,995 innocent people.
Learn more about Probability and Statistics here:
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