Data posted at the University of Georgia Web site indicated that of all female students in 2011, 78% were undergraduates, and of male students in 2011, 16% were graduate students. Let x denote gender of student and y denote type of student.
a. Which conditional distributions do these statistics refer to, those of y at given categories of x, or those of x at given categories of y? Set up a table with type of student as columns and gender of student as rows, showing the two conditional distributions.
b. Are x and y independent or dependent? Explain.