Question: Rex is a smart fellow. He gets an A in a course 80% of the time. Still he likes his leisure, only studying for the

Rex is a smart fellow. He gets an A in a course 80% of the time. Still he likes his leisure, only studying for the final exam in half of the courses he takes. Nevertheless when he does study, he is almost sure (95% likely) to get an A. Assuming he got an A, how likely is it he studied? If someone estimates the above to be 75%, what error are they committing? Explain.

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