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8.21 In the proof of Theorem 8.3.12 (Neyman-Pearson Lemma), it was stated that the proof, which was given for continuous random variables, can easily be

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8.21 In the proof of Theorem 8.3.12 (Neyman-Pearson Lemma), it was stated that the proof, which was given for continuous random variables, can easily be adapted to cover discrete random variables. Provide the details; that is, prove the Neyman-Pearson Lemma for discrete random variables. Assume that the a level is attainable

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