The score of students taking the ACT college enterance examination are normally distributed with mean = 20.1 and standard deviation =5.8
a). Determine the probability that a simple random sample of 25 students would earn an average score of at least 23.
b). Using the same mean and standard deviation (20.1 and 5.8) Joe was informed that he scored at the 93rd percentile on the ACT, what was Joe's approximate raw Act score. (round to the nearest .1)