Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: (a) the probability that a single score drawn at random will be greater than 110 (b) the probability...

Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:

(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105