An automobile manufacturer obtains the microprocessors used to regulate fuel con

Question

An automobile manufacturer obtains the microprocessors 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 6% of the microprocessors produced by firm A are defective, 9% of those produced by firm B are defective, and 8.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 30%, and 35%, 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?

Explanation / Answer

P(defective) = P(defective & from A) + P(defective & from B) + P(defective & from C)

= 0.35x0.06 + 0.30x0.09 + 0.35x0.085

= 0.07775

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