Solve the following questions:

(a) Consider the population of U.S. college freshmen, from which a student is randomly selected. Let A denote the event that the student attends IU, and let B denote the event that the student graduated from high school in Indiana. Are A and B dependent or independent? Why?

(b) Consider a sample of boys who are attending an Indiana public elementary school. Let a denote the weight of the student (in pounds) and let y denote how fast the student can run 50 yards (in seconds). Would you expect to observe a pattern of positive or negative association between 2 and y? Why?