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A manufacturing company uses two different assembly lines, A and B, to manufacture a particular component....

  1. A manufacturing company uses two different assembly lines, A and B, to manufacture a particular component. Of the components manufactured by line A 3% are defective, whereas 4% of B’s components are defective; 45% of all components manufactured by the company are produced by line A, and the remaining 55% are produced by line B. Answer the following questions making sure to use probability statements and show your work.
    1. If a product is randomly selected off of line A, what is the probability it is not defective?
    2. If a randomly selected component is defective, what is the probability that it comes from line A?
    3. What is the probability that a randomly selected component by this company is defective and comes from line B?
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