Scores on Professor Nancy's exams have a long term history of being normally distributed, with a mean of ? = 75 and a standard deviation of ? = 7

a.) Find the probability that a single student will score above a 80 on the Final exam b.) Find the probability that a single student will score between a 70 and 80 on the Final exam. c.) Find the probability that an entire class of 20 students will have a class average above a 80 on the exam. d) Find the probability that an entire class of 20 students will have a class average between 70 and 80 on the Final exam