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Statistics and Probability

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Calculating Percent

STATS-NNOJGE

An introductory statistics class has 400 students and their grades are approximately normally distributed with $\mu$= 250 points and $\sigma$=15 points out of a possible 300 points.

The following grading scale is used:

Grade % of Points Earned
A 92 - 100%
AB 88 - 91%
B 82 - 87%
BC 78 - 81%
C 65 - 77%
D 50 - 64%
F 40% and lower

Alex earned $273$ points. What is her grade?

If necessary, use the table at: http://www.itl.nist.gov/div898/handbook/eda/section3/eda3671.htm.