Given that a person tests positive for DIS, what is the probability that person actually has it?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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Question 21

The probability of a randomly selected person is suffering from a certain disease DIS is 0.001. The test to detect DIS has a correct detection rate of one, that is, for a person with DIS, the test will always detect the disease. But for a person without DIS, the test has probability 0.005 to give false detection of the disease. Given that a person tests positive for DIS, what is the probability that person actually has it? Choose the closest value from the following correctly: 

 

O 1/200
O 1/6
O 1/5
O 1/1000
Transcribed Image Text:O 1/200 O 1/6 O 1/5 O 1/1000
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