A company produces mini fridges a week at three plants. Plant A produces at a level of 35% per week, plant B produces at 20% per week, and plant C produces at 45% per week. Production records indicate that 6.2% of mini fridges produced at plant A will be defective, 2.4% of those produced at plant B will be defective, and 8.6% of those produced at plant Cwill be defective. All the mini fridges are shipped to a central warehouse. If a mini fridge at the warehouse is found to be defective, what is the probability that it was produced at plant A?

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A company produces mini fridges a week at three plants. Plant A produces at a level of 35% per week, plant B
produces at 20% per week, and plant C produces at 45% per week. Production records indicate that 6.2% of
mini fridges produced at plant A will be defective, 2.4% of those produced at plant B will be defective, and
8.6% of those produced at plant C will be defective. All the mini fridges are shipped to a central warehouse. If a
mini fridge at the warehouse is found to be defective, what is the probability that it was produced at plant A?
Transcribed Image Text:A company produces mini fridges a week at three plants. Plant A produces at a level of 35% per week, plant B produces at 20% per week, and plant C produces at 45% per week. Production records indicate that 6.2% of mini fridges produced at plant A will be defective, 2.4% of those produced at plant B will be defective, and 8.6% of those produced at plant C will be defective. All the mini fridges are shipped to a central warehouse. If a mini fridge at the warehouse is found to be defective, what is the probability that it was produced at plant A?
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