Question

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

Answer 1

0.1175 or 11.75%

Explanation:

If the new machine is 3 times more productive than the old machine, then 75% of widgets are produced by the new machine with a defective rate of 8%, while 25% of widgets are produced by the old machine with a defective rate of 23%.

The probability that a randomly chosen widget produced by the company is defective is given by:

`P = 0.75*0.08+0.25*0.23\\P=0.1175=11.75\%`

The probability is 0.1175 or 11.75%.