4. (a) Random variables x, y and z have a joint p.d.f fe-(x+y+z) f(x, y, z) ,x,y,z > 0 0, elsewhere Show that the three
Posted: Sun Sep 05, 2021 5:11 pm
4. (a) Random variables x, y and z have a joint p.d.f fe-(x+y+z) f(x, y, z) ,x,y,z > 0 0, elsewhere Show that the three variables are independent. (b) Random variables w, x, y and z have a joint p.d.f as f(w,x,y,z) = ſ16wxyz, 0 5 W,x,y,z 51 0, elsewhere (i) Obtain the joint marginal distribution for w and z. (ii) Hence obtain the conditional distribution of x and y given w and z. (c) Determine the eigen vectors of matrix A = (-2