Question: Suppose x 1 , x 2 , dots, x n ( n > 1 ) are independent variates each distributed as N ( 0 ,

Suppose x1,x2,dots,xn(n>1) are independent variates each distributed as N(0,2).
Define
W=x1{1ni=1nxi2}12
(i) Why does not W follow the t-distribution?
(ii) Find the pdf of W.
Suppose x1,x2,dots,xn(n>1) are independent variates each distributed as N(0,2). Define W=x1{1ni=1nxi2}12

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