A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine manufactures only 9% defective widgets. In addition, the new machine manufactures 70% of widgets while the older machine manufactures 30% widgets. Given a randomly chosen widget was tested and found to be non defective, what is the probability it was manufactured by the new machine? Round the answer to 4 decimal places.

73.90%

Step-by-step explanation:

Let Event D=Defective,  D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.  

i.e.

Using Baye's Law of conditional Probability

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

d

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~coco

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step-by-step explanation: