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Business Analysis 2372 homework that I am stuck on and is not multiple choice. Please show...

Business Analysis 2372 homework that I am stuck on and is not multiple choice. Please show how you would work this out. THANKS

Umbrella Corporation has developed a new test for a disease. Before it can get government approval, it must show that the probability of having the disease, given a positive result, is high.

The company recruited a large number of individuals whose disease status (either disease free or having the disease) was known and administered the new test. The results are shown in the table below.

Let A = "has disease." Find P(A), the marginal probability of having the disease.

Disease Status
Has Disease Does Not Have Disease
Test Result Positive 41 21
Negative 20 149
Math   Statistics-And-Probability   
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