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A company uses three different assembly lines – A1, A2, and A3 – to manufacture a...

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Basic Math

  1. A company uses three different assembly lines – A1, A2, and A3 –to manufacture a particular component. Of those manufactured byline A1, 5% need rework to remedy a defect, whereas 8% of A2’scomponents need rework and 10% of A3’s need rework. Suppose that50% of all components are produced by line A1, 30% are produced byline A2, and 20% come from line A3.

    1. (a) Suppose a component is selected at random, what is theprobability that it needs rework?

    2. (b) If a randomly selected component needs rework, what is theprobability that it came from line A1?

    3. (c) If a randomly selected component (((((((does not))))))) needrework, what is the proba- bility that it came from line A2?

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