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A Professor at a Local University Noted That the Grades

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


Definitions:

Effective Rate

The actual interest rate of an investment or loan when the compounding frequency is accounted for, giving a true reflection of the cost or yield.

Compounded Annually

The process of calculating interest on both the initial principal and the accumulated interest from previous periods on a yearly basis.

Twins

Biologically born individuals sharing the same womb simultaneously, often characterized by a close genetic and physical similarity.

Nominal Rate

The stated interest rate of a loan or investment, before adjusting for compounding or inflation.

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