Question: Let's say there is this disease that affects someone with a probability of .001. This foolish scientist tests people, and under their test someone tests

Let's say there is this disease that affects someone with a probability of .001. This foolish scientist tests people, and under their test someone tests positive with a probability of .001, regardless of if they have the disease or not. Would the probability of a false positive (positive when not infected) be .001, and the probability of a false negative (negative when infected) be .999, so would the test have .001 + .99 = 100% error? This doesn't quite make sense, since there have to be a lot of people who are not infected and do not test positive under this random test.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!