The scores of students taking the Scholastic Aptitude Test (SAT) are normally distributed with a mean u = 1035 and a standard deviation o = 131.
a) Determine the probability that a simple random sample of 15 students would earn an average score of 1000 or less.
b) Determine the probability that a simple random sample of 50 students would earn an average score of 1080 or greater.
c) Determine the probability that a simple random sample of 75 students would earn an average score between 1020 and 1060.