SOLUTION: The probability that a final year student will pass the certified public accountant (CPA) examination is 0.60. The probability that a final year student will pass the CPA examinat

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Question 1148438: The probability that a final year student will pass the certified public accountant (CPA) examination is 0.60. The probability that a final year student will pass the CPA examination and get a job offer is 0.40. Suppose the student just found out that they passed the CPA examination, what is the probability of them getting a job offer?
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

We are given   P(pass CPA) = 0.6.


We are also given   P(pass CPA AND get a job offer) = 0.4.


They ask you about the conditional probability  P(get a job offer | pass CPA).


Use the general definition of the conditional probability

    P( A | B ) ] = P(A and B)/P(B).



In your case, the event A = "get a job offer",

              the event B = "pass GPA";

              the event (A and B) = (pass GPA AND get a job offer)



Therefore, the conditional probability  

       P(get a job offer | pass CPA) = P(A and B)/P(B) =  = .    ANSWER

Solved.



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