Suppose you teach a course in statistics and you grade on the curve (the normal curve, that is). You have given a final exam to your statistics class...

Suppose you teach a course in statistics and you grade on the curve (the normal curve, that is). You have given a final exam to your statistics class of 65 students. The scores, which are approximately normally distributed, range from 5 to 145 with a mean of 73 and a standard deviation of 22. If you wish to give As to the top 10% of your class, how many As would you give and what score on the exam would be the division point between As and Bs? If 40% of the class were to get Cs, what would be the highest and lowest score to earn a C?