Every Current Applicant for a Position in the Marketing Department

Short Answer

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 a Poor score?