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A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while the new machine produces only 8% defective...

A company has 2 machines that produce widgets. An older machine produces 23% defective

widgets, while the new machine produces only 8% defective widgets. In addition, the new

machine produces 3 times as many widgets as the older machine does. What is the probability

that a randomly chosen widget produced by the company is defective? 

Please show work. 

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