A Company Has 2 Machines That Produce Widgets

Multiple Choice

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. Given a randomly chosen
Widget was tested and found to be defective, what is the probability it was produced by the new
Machine?

A) 0.08
B) 0.15
C) 0.489
D) 0.511