1. In studying the behavior of air support roofs, the random variables X, the inside barometric pressure (in inches of mercury) and Y, the outside barometric pressure are considered. Assume that the joint density is given by far (x, V) V, XSVS 2x, OSXS2 0. elsewhere (i) Find E[X], E[XY]. (ii) Are X, Y independent? Explain. [2+1]1. In studying the behavior of air support roofs, the random variables X, the inside barometric pressure (in inches of mercury) and Y, the outside barometric pressure are considered. Assume that the joint density is given by far (x, V) V, XSVS 2x, OSXS2 0. elsewhere (i) Find E[X], E[XY]. (ii) Are X, Y independent? Explain. [2+1]