PROBLEM 1 Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council's GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 529 and a standard deviation of 114. a) What is the probability of an individual scoring above 512 on the GMAT? b) What is the probability of an individual scoring below 460 on the GMAT? c) If a sample of 25 individual are selected, find the probability that their average is between 475 and 575 on the GMAT? d) How high must an individual score on the GMAT in order to score in the highest 7%?