Probability that a randomly selected bike passed inspection, History

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A bicycle plant runs two assembly lines, A and B. 96.9% of line A's products pass instruction, while only 93.8% of line B's products pass inspection. 70% of the factory's bikes come off assembly line A.

a) What is the probability that a randomly selected bike passed inspection?

b) What is the probability that a randomly selected bike that did not pass inspection came from assembly line B?


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