1.Using the Central Limit Theorem.Assume that SAT scores are normally distributed with the mean = 1518 and the standard deviation SD = 325 (based on data from the College Board).If one SAT score is randomly selected, find the probability that it is between 1550 and 1575.

P ( 1550 < x < 1575). The Central Limit Theorem states that the new standard deviation

SD_n = original SD/ SQRT(n) where n is the sample size.In this problem, assume the sample size is 300.