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The registrar at a local university studied the Grade Point Average (GPA) of students over many...

The registrar at a local university studied the Grade Point Average (GPA) of students over
many years. Assume the GPA distribution follows a normal distribution with a mean of 3.0
and a standard deviation of 0.30.
(i) What is the probability of that a randomly selected student from this university has
a GPA between 2.4 and 3.8.
(ii) The student population at this university is 5000. How many students have a GPA
of 3.75 or lower?
(iii) To qualify for the University’s scholarship, a student must be in the top 4 percent.
What GPA must a student attain to obtain this scholarship?

Math   Statistics-And-Probability   
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Answer #1

The GPA which a student must obtain is 3.5253 or 3.53

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