Solving Bayes Theorem equation -> I can't calculate proper result
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02-11-2019 - |
Question
I am solving questions for an edx course on Machine Learning. One particular question is giving me a problem:
Assume a patient comes into the doctor’s office to test whether they have a particular disease. The test is positive 85% of the time when tested on a patient with the disease (high sensitivity): P(test+|disease)=0.85 The test is negative 90% of the time when tested on a healthy patient (high specificity): P(test−|heathy)=0.90 The disease is prevalent in about 2% of the community: P(disease)=0.02 Using Bayes' theorem, calculate the probability that you have the disease if the test is positive.
My solution:
I have created a table
sick | healthy
2% | 98%
+ 90% | 15%
- 10% | 85%
From this I calculated bayes theorem like this:
(0,02*0,9)
P(A|B) = -----------------------------------------------------
(0,02*0,9) + (0,15*0,98)
I get P(A|B)=0,109 however this answer is wrong, where did I do mistake?
No correct solution