Mathematics, 25.11.2020 14:40 zoeatlowapple

The Graduate Record Examination (GRE) is a test required for admission to many U. S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. A graduate school requires that students score above 160 to be admitted. Required:
a. What is the probability that a randomly selected student will score less than 150 points?
b. What is the percentile rank of a student who earns a quantitative GRE score of 142?
c. Historically, Depart of History at NYU has admitted students whose quantitative GRE score is at least at the 61st percentile. What is the lowest GRE score of the students they admit?

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