Vanessa found that the average for all students who feel that good manners are necessary to

75 with a sample standard deviation of 15; (this data is normally distributed). If she took a random sample of 64 students that shared this view Find: a) The probability that the average number of students that share this view is more than 78 students. b) The probability that the mean number of students that share this view is between 65 and 72