Suppose that X,~ N(u, o), i = 1, ..., n and Z,~ N(0, 1), i = 1, ..., k, and all variables AAAAAAAA are independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X - X (b) X + 2X3 X -- X OS 2 (c) (d) Z (e) n(x-) OS Z (i) Z (j) (k) Z NN NNAIN nk(x-) (1) 40% af & $0 $ ( / TEM - VMG VAEI (Livebogbrapy Ang is oorelt 80 i=1 (m): 71 ( - )2 i=1 0. Mega sa (f) Z + Z (n) + white 0 (g) ZZ (0) k AMMA Yasaqligion (h) (p) nen dv pocsr M k MAAR @$#UN SU QU X witZ, a odstopen) Ay a du b! (0) =1 + (Z 2) i=1. Bi mat kbur dlowany njoh gad sila huse & L.L. situent l (k -- 1) (X, - *)2 i=1 id QUATED ARB k (n 1)o (Z ) 20+0=14+