A set of exam scores in an introductory statistics course was normally found to be distributed with a mean of 77 and a standard deviation of 7.6.

a. What is the probability of obtaining at most a score of 94 on this exam?

b. What percentage of students scored between 65 and 89?

c. What percentage of students scored between 81 and 89?

d. What is the final exam score, if only 5% of the students who took the test had a higher grade?

e. What is the probability that a student will earn an exactly 77 score?

f. If the teacher qualifies by campaign (awards ES to the top 10% of the class without importing the grade), would you be content with a score of 84 on this exam or a score of 68 on another exam where the mean is 62 and the standard deviation is 3? Show statistically and explain