Question: Suppose that IQs of West State University’s students can be described by a Normal model with mean 130 points and standard deviation 8 points. Also suppose that IQs from East State University can be described by a Normal model with mean 120 points and a standard deviation 10 points. Answer the following questions:

a) If a student is randomly selected from West State University, find the probability that this student’s IQ is at least 142 points.

b) If four students are chosen at random from East State, find the probability that this group’s average is at least 130 points.