Professor G.G. believes that the final exam grades for his statistics class have a normal distribution with a mean of 82 and a standard deviation of 8. (a) Find the score which separates the top 10% of the scores from the lowest 90% of the scores.

(b) Professor G.G. plans to give all students who score in the top 10% of scores an A. Will a student who scored a 90 on the exam receive an A? Explain.

(c) The professor plans to give all students who score in the lowest 10% of scores an F. Will a student who scored a 65 on the exam receive an F? Explain.

(d) If the professor decides to pass all students who score in the top 70% of scores, what will be the minimum score a student should have to pass the course?