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. Let the number of widgets produced by the older machine be x. Then, the new machine produces 3x widgets. The total number of widgets is 4x. The probability of a defective widget is (0.23 * x + 0.08 * 3x) / 4x = 0.1175.

A Company Has 2 Machines That Produce Widgets