The registrar at Elmwood University (EU) studied the grade point averages (GPAs) of students over many years.

Question:

The registrar at Elmwood University (EU) studied the grade point averages (GPAs) of students over many years. Assume the GPA distribution follows a normal distribution with a mean of 3.10 and a standard deviation of 0.30.
a. What is the probability that a randomly selected Elmwood student has a GPA between 2.00 and 3.00?
b. What is the percentage of students who are on probation, that is, have a GPA less than 2.00?
c. The student population at EU is 10 000. How many students are on the dean’s list, that is, have GPAs of 3.70 or higher?
d. To qualify for a Bell scholarship, a student must be in the top 10%. What minimum GPA must a student attain to qualify for a Bell scholarship?

Distribution
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