A college’s data about the incoming freshmen indicates that the mean of their high school GPAs is 3.4 with a standard deviation of 0.35. The distribution is normal. The students are randomly assigned to freshmen writing seminars in groups of 25.
a) Find the probability a student has a GPA greater than 3.5.
b) Find the probability that one of the groups has an average GPA greater than 3.5.