Probability and Statistical Analysis: Exam Grading, Space Shuttle Systems, and Office Equipment Failure
- Statistics
- 10 pages
- Shared May 2025
An assignment covering probability and statistical analysis related to exam grading, space shuttle systems, and office equipment failure.
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Probability and Statistical Analysis: Exam Grading, Space Shuttle Systems, and Office Equipment Failure 1) The grades on the midterm examination given in a large managerial statistics class are normally distributed with mean 75 and standard deviation 9. The instructor of this class wants to assign an A grade to the top 10% of the scores, a B grade to the next 10% of the scores, a C grade to the next 10% of the scores, A D grade to the next 10% of the scores, and an F grade to all scores below the 60 th percentile of this distribution. For each possible letter grade, find the lowest acceptable score within the established range. For example, the lowest acceptable score for an A is the score at the 90 th percentile of this normal distribution.
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6) Scores on an exam appear to follow a normal distribution with μ = 60 and σ = 20. The instructor wishes to give a grade of D to students scoring between the 10 th and 30 th percentiles on the exam. For what range of scores should a D be given? What percentage of the students will get a D?
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