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(3) Bayes Method An example of Bayes argument Let X∼ F(xθ),θ∈. Math 594 Solutions 2 Book problems x41 9 Suppose that G acts transitively on the finite set A and let H be a normal subgroup of G with O1Or the distinct orbits of H on A (a) Prove that G permutes the sets O1Or transitively Deduce that all orbits of H on A have the same cardinality Solution For each i there is some ai 2 A such that Oi = HaiNow since H C G;.