4. Let X and Y have the joint density f(x, y) = What is P(X>Y > 2) ? e-(x+y) {"th for 0 ≤ z, y<∞ otherwise.

Rewrite the triple integral pb pg2() ph2(y,=) h₁(y,:) S. a g₁(:) LLL" f(x, y, z)dzdydz as f(x, y, z)dxdydz b a = 91 9₁(z) = h₁(y, z) = = |92(z) = | h₂(y, z) =

5. If F = (x,2y,3z), the outward flux of F across the boundary of a unit cube (volume equal to 1) is (a) 0. (b) 3. (c) 6.

5.) Suppose the joint density for X and Y is given by f(x, y) = 1/xfor 0 < y < x < 1. Find ρX,Y