Problem 4: Springfield University when accepting the students decides to take their own test for associate degrees. The test scores are normally distributed with mean 400 and standard deviation 100. (a) The Springfield university will consider only those students scoring in top 15%. Find the cutoff score (that is, the lowest score that the university will consider). (b) In a random sample of five applicants, what is the probability that their score is at least 1500 and at most 2300? Solution