Question

7. There is a test for allergy to people, but this test is not always right:...

7. There is a test for allergy to people, but this test is not always right:

For people that really do have the allergy, the test says "yes" 80% of the time

For people that do not have the allergy, the test says "yes" 10% of the time ("false positive")

If 1% of the population have the allergy,

a) what is the probability that the test says "yes"?

b) given the test says "yes" what are the chances that a person really has the allergy?

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