Student scores on Professor Smith' Stats final exam are normally distributed with a mean of 74, and a standard deviation of 6.6

Find the probability of the following: **(use 4 decimal places)** a) the probability that one student chosen at random scores above an 79.

b) the probability that 20 students chosen at random have a mean score above an 79.

c) the probability that one student chosen at random scores between a 69 and an 79.

d) the probability that 20 student: chosen at random scores between a 69 and an 79.