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

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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 1 (102.98 KiB) Viewed 65 times

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