27)The results for the final examination (graded on a scale of 100), in EMBA Data Analysis, are distributed according to a normal distribution with a mean of 75 and a standard deviation of 5.

A)What is the probability that a student gets a mark higher than 90?

B)What is the probability that a student gets a grade of 60 or less?

C)What is the probability of a student getting a grade between 65 and 80?

D)What is the probability that a student's score is at least 80 but at most 90?

E)What is the score of a student if s/he scored better than 90% of all students?

F)What is the maximum score of a student if 5% of all students did better?

G)What are the limits of scores such that 80% scored within this range and the limits are symmetrical about the mean?