A Laboratory Test for a Disease Affecting 5% of the Population

Short Answer

A laboratory test for a disease affecting 5% of the population is either positive, indicating the disease is present, or negative, indicating the disease is not present. When people having the disease are tested, 80% of the tests come back positive, and when people who don't have the disease are tested, 15% of the tests come back from the lab marked positive (a false positive result). What is the chance a randomly chosen person's test results would come back positive?
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