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A professor at a local community college noted that the grades of his students were normally distributed with a mean of 75 and a standard

A professor at a local community college noted that the grades of his students were normally distributed with a mean of 75 and a standard deviation of 10. The professor has informed us that 7.5 percent of his students received A's while only 2.25 percent of his students failed the course and received F's. (You may need to use the appropriate appendix table or technology to answer this question.)

(a)What is the minimum score needed to make an A? (Round your answer to one decimal place.)

(b)What is the maximum score among those who received an F? (Round your answer to one decimal place.)

(c)If there were 6 students who did not pass the course, how many students took the course? (Round your answer to the nearest integer.)

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