Suppose that the random variables Y1 and Y2 have joint probability density function, f (y1, y2), given by (see Exercises 5.14 and 5.32) f (y1, y2) = 6y2 1 y2, 0 y1 y2, y1 + y2 2, 0, elsewhere. Show that Y1 and Y2 are dependent random variables.

ST 701: Week 1 Notes MaLyn Lawhorn August 17, 2017 Probability Theoretical Basics ▯ In the words of Bruno de Finetti, ”Probability does not exist!” ▯ This means that probability is an idea that is relative to individuals beliefs, available infor- mation, etc. ▯ Therefore, it is possible when two people conduct two separate...