SAT scores in one state is normally distributed with a mean of 1481 and a standard deviation of 88. Suppose we randomly pick 49 SAT scores from that state. a) Find the probability that one of the...

SAT scores in one state is normally distributed with a mean of 1481 and a standard deviation of 88. Suppose we randomly pick 49 SAT scores from that state.



a) Find the probability that one of the scores in the sample is less than 1457.

P(X<><1457)>

b) Find the probability that the average of the scores for the sample of 49 scores is less than 1457.

P(¯¯¯X<><1457)>