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Q1) A large motor company assigned 10% (A grades), 80% (B grades) and 10% (C grades)...

Q1) A large motor company assigned 10% (A grades), 80% (B grades) and 10% (C grades) to the performance of the company’s 18000 managers. Suppose the company performance scores are normally distributed. Managers with scores less than 250 received C and those with scores above 475 received A.

i. What are the mean and the standard deviation of the scores?

ii. What is the number of managers who scored between 400 and 475?

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