Question

Every current applicant for a position in the marketing department of Company A is given a 10-question test on interpretation of findings from statistical analyses. Individuals are rated on three levels based on their scores: Excellent (9-10 correct), Average (5-8 correct), and Poor (fewer than 5 correct). Historically, the probability of an individual scoring Excellent = .38, Average = .52, and Poor = .10. Also, the company knows that 90 percent of applicants who score Excellent are offered a position, 75 percent of applicants who score Average are offered a position, and 35 percent of the applicants who score Poor are offered a position. What is the probability that an individual who is offered a position has an Excellent score?

Answer

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