A pharmaceutical company has developed a test for a rare disease that is present in 0.3% of the population. The test is 95% accurate in determining a positive result, and the chance of a false positive is 7%. What is the probability that someone who tests positive actually has the disease? (Round your answer to two decimal places.)

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Asked Oct 21, 2019
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A pharmaceutical company has developed a test for a rare disease that is present in 0.3% of the population. The test is 95% accurate in determining a positive result, and the chance of a false positive is 7%. What is the probability that someone who tests positive actually has the disease? (Round your answer to two decimal places.)
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Step 1

Consider,

E be an event that shows the person has the disease.

F be an event that shows the person does not have th...

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P(E) 0.003 P(F) 1-P(E) =1-0.003 =0.997 P(A|E) 0.95 P(A F 0.07

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