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A study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. The

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A study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. The results are shown in the table. Based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? P(Improvement | Drug) No Total Improvement Improvement Drug 270 530 800 No Drug 120 280 400 Total 390 810 1200 O 0.225 0.325 OOO 0.338 0.663

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