Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council's GMAT examination. Scores on the GMAT are normally distributed with a mean of 55 and a standard deviation of 10. What is the probabilityr of an individual scoring above 80 on the GMAT? ii} How high must an individual score on the GMAT in order to score in the highest 1%? bl An automobile battery manufacturer claims that its midgrade batten,r has a mean life of 60 months with a standard deviation of 18 months. Suppose the distribution of batten:r lives of this particular brand is approximately normal. Find the probability that the mean of a random sample of 36 such batteries will be less than 54 months