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A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 5%, compute the probability that a person who tests positive actually has the disease.

 Dec 4, 2021
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total= 100,000

Infected= 100 = (0.1% * 100,000)

 

Pos+Diseased = 93

Pos+NOTDiseased = 4995

Neg+Diseased = 7

Neg+ NOTDiseased = 94905

 

(PD) / (PND) = 93/ 4995

 

= 0.019 ( rounded to three decimal places)

 Dec 4, 2021

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