A study involving stress is done on a college campus among the students. The stress scores follow a binomial distribution with N = 5 and = 0.5. Using a sample of 75 students, find: (a) The probability that the average stress score for the 75 students is less than 2.25. (b) The 90th percentile for the average stress score for the 75 students. (c) The probability that the total of the 75 stress scores is less than 200. (d) The 90th percentile for the total stress score for the 75 students