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11. (20) GPA distribution in UPW university is a normal distribution with an average of 2.68...

11. (20) GPA distribution in UPW university is a normal distribution with an average of 2.68 and a standard deviation of 0.4.

(a) About what proportion of the students have GPA at most 3?

(b) About what proportion of the students’ GPA are between 2 and 3?

(c) The President of the university is establishing a new scholarship, the minimum qualification is that students GPA have to be among top 3%, what is the numerical GPA a student must have in order to qualify?

(d) A students’ club has a minimum GPA requirement of 2.7 or higher. You heard that Kelly is going to attend a club members’ meeting, you are wondering: what is the chance that Kelly’s GPA is lower than 3.3?

(e) If we randomly choose 7 students in the university, what is the chance that at least 2 have GPA over 3.3?

Math   Statistics-And-Probability   
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Order of answers is a, c, b, d , e.

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