Carolina, of MyBow Nuspoince, found that the average for all students who feel that good manners are necessary to be 75 with a variance of 225Assuming that she took a random sample of 64 students that shared this view, find the probability that the average number of students that share this view is more than 78 students. (This data is normally distributed.) Find: a. (1pts.) What is the mean of the sample mean? a. (2pts.) What is the standard error? b. (3pts.) Solve the problem, be sure to label bell curve properly