A company has 2 machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 6% defective widgets. In addition, the new machine produces 75% of widgets in the company. Given a random chosen widget was tested and found defective, what is the probability it was produced by the new machine?(Hints: you may use a probability tree as assistance to obtain the answer)
Select one:
0.526
0.095
0.045
0.474
Solution:
The tree diagram for the given data is:
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