The scores on a statistics final examination follow a normal distribution and have a mean of 72 and a standard deviation of 3.5. Answer the following:
a. What is the probability that a randomly selected exam will have a score that is greater than 74?
b. What is the probability that a randomly selected exam will have a score that is less than 71?
c. What is the probability that a randomly selected exam will have a score between 70.5 and 73?
d. What is the probability that a randomly selected exam will have a score of exactly 69?
e. What score would represent the 80th percentile?
f. What does the 80th percentile represent?