4. An instructor at a local community college noted that the grades of his students were normally distributed with a mean of 78 and a standard deviation of 10. a. The instructor has informed us that 16.6% of his students received grades of A. What is the minimum score needed to receive a grade of A? b. If 33% of the students received grades of B or better (i.e., an A or B), what is the minimum score of those who received a B? c. If 12.1% of his students failed the course and received an F, what was the maximum score among those who received an F?

MATLAB: An Introduction with Applications
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4. An instructor at a local community college noted that the grades of his students were normally
distributed with a mean of 78 and a standard deviation of 10.
a. The instructor has informed us that 16.6% of his students received grades of A. What is the minimum
score needed to receive a grade of A?
b. If 33% of the students received grades of B or better (i.e., an A or B), what is the minimum score of
those who received a B?
c. If 12.1% of his students failed the course and received an F, what was the maximum score among
those who received an F?
Transcribed Image Text:4. An instructor at a local community college noted that the grades of his students were normally distributed with a mean of 78 and a standard deviation of 10. a. The instructor has informed us that 16.6% of his students received grades of A. What is the minimum score needed to receive a grade of A? b. If 33% of the students received grades of B or better (i.e., an A or B), what is the minimum score of those who received a B? c. If 12.1% of his students failed the course and received an F, what was the maximum score among those who received an F?
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