A motor company has 3 manufacturing plants. Plant 1 produces 25% of motors with 1% defect rate, plant 2 produces 40% of motors with 1.6% defect rate, and plant 3 produces 35% of motors with 1.3% defect rate. If a motor is randomly chosen and is found defective, use Bayes' Rule to find the probability that it came from plant 3.
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