### Woman who tests positive is actually pregnant

Assignment Help Mathematics
##### Reference no: EM13121502

Probability, Bayes, Theorem
The Question is:
Suppose that 400 pregnant women take a home pregnancy test, and 397 of them test "positive" and the other 3 test "negative." Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?

Now, there is a lot of information included in this problem and I am clueless on what to do with all these numbers.

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