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The top 5% of applicants (as measured by GRE scores) will receive scholarships to certain university....

The top 5% of applicants (as measured by GRE scores) will receive scholarships to certain university. GRE scores ~ N(510, 100).

a) If an applicant who took GRE is selected at random, what is the probability that his/her score was more than $530 on that exam?

b) If an SRS of 100 applicants is selected, what is the probability that their average score on GRE is more than $530?

c) 97% of applicants will get between ____ and ____ points on GRE.

d) How high does an applicant’s GRE score have to be to qualify for a scholarship?

Math   Statistics-And-Probability   
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