teachers get courses assigned to teach each semester. for each instructor, there are the courses that the instructor can teach based on the skill set of the instructor, and there are courses that the teacher would rather teach all the time, closer to their specialization. 282 probability for data scientists to be able to teach in any department, a teacher must be able to teach more than the favorite courses. let x denote the proportion of teachers who teach the whole spectrum of courses taught in a department, and y the proportion of teachers who teach the courses they specialize in. let x and y have the joint density function f (x,y)=2(x+y), 0