For the following question either leave your answer as a fraction or give it to 3 decimal places. Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the test diagnoses correctly every person who has TB. What is the chance that a randomly selected person found to have a positive results actually has the TB?

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For the following question either leave your answer as a fraction or give it to 3 decimal places.
Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive
rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the
test diagnoses correctly every person who has TB. What is the chance that a randomly selected person
found to have a positive results actually has the TB?
Transcribed Image Text:For the following question either leave your answer as a fraction or give it to 3 decimal places. Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the test diagnoses correctly every person who has TB. What is the chance that a randomly selected person found to have a positive results actually has the TB?
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