13 Define F as failed in the diagnostic test that P(F)=0.08 and A as failed in the real test. Given a student was failed in the diagnostic test, the probability he/she is also failed P(A|F)=0.90. The conditional given the student was not failed in the diagnostic test and not failed in the real test is 0.8. (Bayes’ questions)
a. What is the probability given the student has passed the real test but failed in the diagnostic test?
b. What is the probability given the student has failed the real test that he/she failed in the diagnostic test?
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