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Scores on the quantitative Graduate Record Exam (GRE) have a mean of 584 and a standard deviation of 151. Assume the scores are normally distributed. Suppose agraduate school requires (among other qualifications) that applicants score at or above the 90th percentile on the GRE quantitative exam. What score is required? Besure to include a picture and the calculator sequence.
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Answer #1

Given X~Normal(mean=584, s=151)

P(X<c)=0.9
--> P((X-mean)/s < (c-584)/151)) = 0.9
--> P(Z<(c-584)/151)) = 0.9
--> (c-584)/151) = 1.28 (check standard normal table)
--> c = 584+1.28*151 = 777.28

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