Altigauge Manufacturing Company (AMC) makes 80% of all electrocardiograph machines, the Bryant Company (BC) makes 15% of them, and the Cardioid Company (CC) makes the remaining. The electrocardiograph machines made by AMC have a 4% rate of defects, the BC machines have a 6% rate of defects, and the CC machines have a 9% rate of defects. If a randomly selected electrocardiograph machine is tested and found to be defective, then what is the probability that it was made by AMC?

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Chapter1: Combinatorial Analysis
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9. The Altigauge Manufacturing Company (AMC) makes 80% of all electrocardiograph machines, the Bryant Company (BC) makes 15% of them, and the Cardioid Company (CC) makes the remaining. The electrocardiograph machines made by AMC have a 4% rate of defects, the BC machines have a 6% rate of defects, and the CC machines have a 9% rate of defects. If a randomly selected electrocardiograph machine is tested and found to be defective, then what is the probability that it was made by AMC?

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