=+27.21. 26.1 26.291 Let X1, X2 ,... be independent and identically distributed, and suppose that the distribution common to the X ,, is supported by [0, 2 m] and is not a lattice distribution. Let S ,, - X, + . . . + X ,, where the sum is reduced modulo 2Tr. Show that S ,, - U, where U is uniformly distributed over [0,2+].