Suppose XN(0,1), XN(,), XN(,), and

X(5). Assume X,X,X and X are mutually independent. Define

V=((X-)/)+((X-)/)

1)Find the distribution of X+X.

2)Find the distribution of V. (hint: use a representational definition)

3)Find the distribution of (V/2)/(X4/5)(hint: use a representational definition)

4)Find the distribution of (X1)/(SQRT(V/2)) (hint: use a representational definition)