Let x represent the sat score of an entering freshman at university x. the random variable x is shown to have a n(1200, 90) distribution. let y represent the sat score of an entering freshman at university y. the random variable y is know to have n(1215, 110) distribution. a random sample of 100 freshman is obtained form each university. let x bar = the sample mean of the 100 scores from university x and y bar = the sample mean of the 100 scores from university y. what is the probability that x bar will be greater than y bar?