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?
A) 0.078
B) 0.1175
C) 0.156
D) 0.310

Question

Quizplus · Accepted Answer

The probability of a widget being defective is calculated by considering the weighted average of defect rates from both machines. If the older machine produces x widgets, the new machine produces 3x widgets. The probability is (0.23 * x + 0.08 * 3x) / (x + 3x) = 0.1175.

A Company Has 2 Machines That Produce Widgets