A company has two 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 three 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 of a defective widget is (0.23 * x + 0.08 * 3x) / (x + 3x) = 0.1175.

A Company Has Two Machines That Produce Widgets