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A Manufacturer of Widgets Has Three Assembly Lines: A,B,and C

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A manufacturer of widgets has three assembly lines: A,B,and C.The percentages of total daily output that are produced by the lines are 30%,40%,and 30%,respectively.The percentage of defective units produced by the lines are estimated to be 2%,3%,and 2%,respectively.If a widget is randomly selected from a day's production and it is defective,what is the probability that it came from assembly line A?

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