What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: AB, and C. The quality-control department of the company has determined that 5% of the microprocessors produced by firm A are defective, 9% of those produced by firm B are defective, and 7.5% of those produced by firm C are defective. Firms AB, 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? 

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