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We have an illness, where 2% of the polulation is infected, and we have a test...

We have an illness, where 2% of the polulation is infected, and we have a test with sensitivity 94% and specificity 98%.

A="infected" and B="tests positive"

The question:

What is the probability that a test-subject tests positive, even when not infected? And how high does the specificity need to be

such that the probability is below 10%

Math   Statistics-And-Probability   
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