Question: Suppose an allergy test is 95% sensitive and 90% specific, which means the test will produce: 95% of a chance that a person with allergy

Suppose an allergy test is 95% sensitive and 90% specific, which means the test will produce: 95% of a chance that a person with allergy will be tested positive 90% of a chance that a person without allergy will be tested negative. The test is applied to a community, in which 5% of the people has the allergy. If the test of a random person from this community is positive, what is the probability that this person has allergy?

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