Question
The Provost of LSU is interested in raising the admission criteria. He found that the high school GPAs of applicants to the LSU undergraduate programs
The Provost of LSU is interested in raising the admission criteria. He found that the high school GPAs of applicants to the LSU undergraduate programs arenormallydistributed with mean =3.28. He also found that 33% of applicants have their high school GPAs higher than 3.50.
a. For a random sample of 4 applicants to LSU, find the probability that only one of them has his/her high school GPA higher than 3.50.
b. What is the percentage of the applicants whose high school GPAs are lower than 3.00?
c. For a random sample of 25 applicants to LSU, find the probability that the sample mean of their GPAs is higher than 3.50.
d. For a random sample of 25 applicants, find the probability that thesample standard deviationsof their GPAs is less than 0.588.
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