assignment : use Def'n 47 10 show that S=XitXzt X3 is sufficient for po given : Xi, Xz, Xz - Be (p ). ST.S ( tis ) ? TIS ( t /s ) = Is ( s ) Definition 47 Let X = (X1, X2, . . . Xn)' be a random sample form the pdf/pmf fx(; @), & unknown. A statistic S = S(X) is defined to be a sufficient statistic if, and only if, the conditional distribution of any other statistic T == T(X) given Sf = s does not depend on 0, for any given value of the statistic S = S(X), i.e., fr(t|S = s) is independent of 0, Vs