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Diseases D1. D2. and D3 cause symptom A with probabilities 0.5. 0.7, and 0.8. respectively. if 5% of a population have disease D1, 2% have disease D2, and 3.5% have disease D3, what percent of the population have symptom A? Assume that the only possible causes of symptom A are D1, D2, and Di and that no one carries more than one of these three diseases.

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