In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 71and a standard deviation of 8. Grades are assigned such that the top​ 10% receive​...

In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 71and a standard deviation of 8. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D.