Question: 15 (4 Points) Let X,. X2. .... X. be a random sample of size n from a beta distribution, Beta(c. B), where a = =

15 (4 Points) Let X,. X2. .... X. be a random sample of size n from a beta distribution, Beta(c. B), where a = = 0, with a probability density function (pdf) and an unknown parameter 0 given as follows: r(20) f(xo) = [()z x" (1 -x)-1 , 00 0 otherwise then by using the Factorization Theorem, the sufficient statistic for the parameter 0 is given by: (A)T = U(X,, X2. ..Xn) = Emix (1 - x/) (B) T = U (X].X2. ...X)= 1 1 (CT = U(X.X2. .X) m n(1-1) (D) T = U (X,,X2. ....X,) = Illx (1-x) O c OA OB OD

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