Let X, X2, X3 be a sample of size 3 from the Bernoulli distribution. Show that...

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Let X, X2, X3 be a sample of size 3 from the Bernoulli distribution. Show that the statistic S U(X1, X2, X3) = x + x + x3 is a sufficient statistic but that the statistic S2 = V(X1, X2, X3) = X1 X2 + X3 is not a sufficient statistic. Let X, X2, X3 be a sample of size 3 from the Bernoulli distribution. Show that the statistic S U(X1, X2, X3) = x + x + x3 is a sufficient statistic but that the statistic S2 = V(X1, X2, X3) = X1 X2 + X3 is not a sufficient statistic.

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