To find the probability that a defective part is produced at the factory, we need to consider the probability of each machine producing a defective part and combine them.
We first find the probability that a defective part is produced by each machine:
- For the first machine, since it produces 45% of the products and 8% of them are defective: 0.45 * 0.08 = 0.036 or 3.6% probability of producing a defective part.
- For the second machine, since it produces 55% of the products and 9% of them are defective: 0.55 * 0.09 = 0.0495 or 4.95% probability of producing a defective part.
To find the overall probability of a defective part being produced, we simply add the probabilities for each machine: 0.036 + 0.0495 = 0.0855 or 8.55% probability that a defective part is produced at the factory.
Two machines turn out all the products in a factory, with the first machine producing 45% of the product and the second 55%. The first machine produces defective products 8% of the time and the second machine 9% of the time
What is the probability that a defective part is produced at the factory?
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