Question

Suppose that, of men who undergo routine screening, 1/501 have prostate cancer. Of the men who...

Suppose that, of men who undergo routine screening, 1/501 have prostate cancer. Of the men who undergo screening and do have prostate cancer, 80% will have a positive test. Of the men who undergo screening but don’t have prostate cancer, only 5% have a positive test. A man of this age undergoes routine screening and has a positive test. What is the probability that he has prostate cancer?

(a) 0 to 0.2

  1. 0.21 to 0.8
  2. 0.81 to 0.9
  3. 0.91 to 1
Math   Statistics-And-Probability   
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Answer #1

We need to find the probability that the given man has prostate cancer given that he tests positive that is

P(Prostate cancer given Positive test)

For this we need the probability of positive test

  

We also need the probability that the given man tested positive and has prostate cancer

Hence

Hence answer is

0 to 0.2.

Thank you !!

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