(30 pts) In a given year, the grade point average (GPA) of Statistics majors at the University of South Carolina is Normally distributed with u = 2.1 and o =

0.25. Answer the following. a. What GPA interval contains the middle 95% of all students? b. Using the information provided, sketch the distribution of GPA and shade the probability described in part a) using the space below. Please provide all labels for full credit. Not graded on artistic merit. c. Suppose that students whose GPA falls into the bottom 10% are added to a mailing list to be recruited to work at a used car lot. Find the GPA cutoff for this bottom 10% and sketch the area of the curve that contains the cutoff point and beyond. Show briefly explain how you obtained the z-score (using the online calculator found here:https://homepage.divms.uiowa.edu/~mbognar/applets/normal.html) and show all other work(the math, in other words). Please show all work.