Question

Let X represent the SAT score of an entering freshman at University X. The random variable X is known to have a N(1200, 90^2) distribution. Let Y represent the SAT score of an entering freshman at University Y. The random variable Y is known to have a N(1215, 110^2) distribution. A random sample of 100 freshmen is obtained from each university. Let X = the sample mean of the 100 scores from University X, and Y = the sample mean of the 100 scores from University Y.

Answer 1

What is the probability that X will be less than 1190?

Answer 2

Will give metal