You are a doctor. You have a medical test that given a person has cancer the test sees a high (X=true) level of protein X in 94% of patients. Given the person is Healthy the test sees the protein X as high (X=true) in 10% of patients. Additionally it is known that 10% of the population is found to have cancer at the time of being screened. A new patient with high levels of protein X wants to know how probable is it that he has cancer. Hint (Bayes Theorem)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 5.
You are a doctor. You have a medical test that given a person has
cancer the test sees a high (X=true) level of protein X in 94% of
patients.
Given the person is Healthy the test sees the protein X as
high (X=true) in 10% of patients.
Additionally it is known that 10% of the population is found to have
cancer at the time of being screened.
A new patient with high levels of protein X wants to know how
probable is it that he has cancer.
Hint (Bayes Theorem)
Transcribed Image Text:Problem 5. You are a doctor. You have a medical test that given a person has cancer the test sees a high (X=true) level of protein X in 94% of patients. Given the person is Healthy the test sees the protein X as high (X=true) in 10% of patients. Additionally it is known that 10% of the population is found to have cancer at the time of being screened. A new patient with high levels of protein X wants to know how probable is it that he has cancer. Hint (Bayes Theorem)
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