Suppose that a medical test for a particular disease has a very high success rat

Question

Suppose that a medical test for a particular disease has a very high success rate: if a tested patient has the disease, the test accurately reports this, a'positive',99% of the time, and if a tested patient does not have the disease, the test accurately reports that, a'negative',95% of the time. suppose also,however, that only 0.1% of the population have that disease. (a) Compute the probability of a false positive given the test was positive.(b)for the medical test described above, what is the probability that a person chosen at random will get a negative report in the test.

Explanation / Answer

.05x.999=.04995=5% b)The probability of getting at least one negative we will add the two probabilities of getting a negative for people with the disease and people without. 95%x99.9%=.95x.999=.949=94.9% 1%x.1%=.01x.0001=.00001=.001% 94.9%+.001%=94.9%

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