There are a thousand men in a cohort for which prostate cancer prevalence is 2.7%. The test we're using for prostate cancer has a sensitivity of 0.7 (gets the diagnosis right 70% of the time if a patient has prostate cancer) specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer) Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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There are a thousand men in a cohort for which prostate cancer prevalence is 2.7%.

The test we're using for prostate cancer has a

  • sensitivity of 0.7 (gets the diagnosis right 70% of the time if a patient has prostate cancer)
  • specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer)

Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.

1000
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Probability trees are used to calculate probability values. 

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