Question

`The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4. Compute the following, showing all work:
1) The percentage of students with GPA's between 2.0 and 2.6
2) The percentage of students with GPA's below 2.7
3) Above what GPA will the top 7% of the students be(i.e., compute the 93rd percentile)
4) If a sample of 49 students is taken, what is the probability that the sample mean GPA will be between 2.60 and 2.70?