In: Statistics and Probability
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 540 and a standard deviation of 125.
a) What is the probability of an individual scoring above 515 on the GMA T?
b) What is the probability of an individual scoring below 460 on the GMA T?
c) If a sample of 36 individual are selected, find the probability that their average is between 470 and 580 on the GMAT?
d) How high must an individual score on the GMAT in order to score in the highest 10%?