Let X Represent the SAT Total Score of an Entering

Multiple Choice

Let X represent the SAT total score of an entering freshman at University X.The random variable X is known to have a N(1200,90) distribution.Let Y represent the SAT total score of an entering freshman at University Y.The random variable Y is known to have a N(1215,110) distribution.A random sample of 100 freshmen is obtained from each university.Let = the sample mean of the 100 scores from University X,and = the sample mean of the 100 scores from University Y.What is the probability that will be less than 1190?

A) 0.0116
B) 0.1335
C) 0.4090
D) 0.4562