A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. a) If an applicant is randomly selected what is the probability to have a score of 388 or above? b) The top 4 percent of the applicants would have a score of at least what score? c) If a random sample of 16 applicants is selected what is the probability that sample average score is less than 420? d) A sample of 25 applicants is selected and the average score of the sample is 483, Construct 98 % confidence for the population mean score.