A Statistics Professor has finished grading the final examination given to 1,000business students. She determinate that the scoreare normally distributed with a mean 75 and standard deviation of 8 points.

Show detail of your work for each part: Set up, Data, Formula, Calculation,Box Your Final Answer.No need for any Graph andor Diagram

a)If the professor decided to give 10% of her students an A, what should be the approximate cutoff point for an A?

b)If the Professor assigns a C grade to all students who score between 69 and 77 inclusive, approximately how many students will be expected to receive a C?