SAT scores in one state is normally distributed with a mean of 1598 and a standard deviation of 56. Suppose we randomly pick 48 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1612. P(X<1612)P(X<1612) =

b) Find the probability that the average of the scores for the sample of 48 scores is less than 1612. P(X<1612)P(X<1612) = Round each answer to at least 4 decimal places.