Homework 4  Due Feb 14


If X1, X2, .... Xn, (n > 3) are iid F(t) with mean mu and variance sigma^2 >0.

Show that  S is not degenerate.  [here  S^2 is the sample variance]



If X and Y are independent N( mu, \sigma^2) random variables, show that

(X+Y) is independent of (X-Y). Also find the distribution of (X+Y), and (X-Y).



Problems from our textbook

5.40

5.25