An auditing procedure for income tax returns has the following characteristics: If the return is incorrect, the

Question:

An auditing procedure for income tax returns has the following characteristics: If the return is incorrect, the probability is 90% that it will be rejected; if the return is correct, the probability is 95% that it will be accepted. Suppose that 80% of all income tax returns are correct. If a return is audited and rejected, what is the probability that the return was actually correct?