Probability and Statistical Analysis: Exam Grading, Space Shuttle Systems,and Office Equipment Failure1)The grades on the midterm examination given in a large managerial statistics classare normally distributed with mean 75 and standarddeviation 9. The instructor ofthis class wants to assign an A grade to the top 10% of the scores, a B grade to thenext 10%of the scores, a C grade to the next 10% of the scores, A D grade to thenext 10% of the scores, and an F grade to all scores below the 60thpercentile of thisdistribution. For each possible letter grade, find the lowest acceptable score withinthe established range. For example,the lowest acceptable score for an A is thescore at the 90thpercentile of this normal distribution.
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