Plase see question:

Let Z1, Z2 be a random sample from A(0, 1) and X1, X2 be a random sample from N(1, 1). Suppose the Z,'s are independent of the X,'s. Note that Zz - Z, is independent of Z, + Zz and similarly X2 -X, is independent of X1 + X2 - (X1-X2)2+(Z1-Z2)2+(Z1+Z2)2 What is the distribution of 2 For this question argue your answers with reference to standard results for the distribution of specific functions of random variables that follow certain distributions