An Automobile Manufacturer Obtains the Microprocessor Used to Regulate Fuel

Multiple Choice

An automobile manufacturer obtains the microprocessor used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 2% of the microprocessors produced by firm A are defective, 1.5% of those produced by firm B are defective, and 3% of those produced by the firm C are defective. Firms A, B, and C supply 40%, 30%, and 30%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?

A) 0.02850
B) 0.01650
C) 0.02150
D) 0.02650
E) 0.01350