i need help with this. Plz use a calculator and not the Z-score table.

8. How Laude? Many educational institutions award three levels of Latin honors often based on GPA. These are cum laude (with high praise), magna cum laude (with great praise), and summa cum laude (with highest praise). Requirements vary from school to school. Suppose the GPA's at State College are normally distributed with a mean of 2.85 and standard deviation of 0.45. (a) Suppose State College awards the top 2% of students (based on GPA ) with the summa cum laude honor. What GPA gets you this honor? (b) Suppose State College awards the top 10% of students (based on GPA) with the magna cum laude honor. What GPA gets you this honor? (c) Suppose State College awards the top 20% of students (based on GPA) with the cum laude honor. What GPA gets you this honor