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In a certain factory, machines 1, 2 and 3 are all producing springs of the same length. Machine 1 produces 2% defective springs, machine 2 produces 1% defective springs and machine 3 produces 3% defective springs. Of the total production of springs in the factory, machine 1 produces 35%, machine 2 produces 25% and machine 3 produces 40%. A) Of the total springs produced in a day, what percent are defective? B) Suppose a spring is randomly selected and found to be defective. What is the probability that it came from machine 3?

In a certain factory, machines 1, 2 and 3 are all producing springs of the same length. Machine 1 produces 2% defective springs, machine 2 produces 1% defective springs and machine 3 produces 3% defective springs. Of the total production of springs in the factory, machine 1 produces 35%, machine 2 produces 25% and machine 3 produces 40%. A) Of the total springs produced in a day, what percent are defective? B) Suppose a spring is randomly selected and found to be defective. What is the probability that it came from machine 3?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Problem 3: In a certain factory, machines 1, 2 and 3 are all producing springs of the same length. Machine 1 produces 2% defective springs, machine 2 produces 1% defective springs and machine 3 produces 3% defective springs. Of the total production of springs in the factory, machine 1 produces 35%, machine 2 produces 25% and machine 3 produces 40%. A) Of the total springs produced in a day, what percent are defective? B) Suppose a spring is randomly selected and found to be defective. What is the probability that it came from machine 3?
Transcribed Image Text:Problem 3: In a certain factory, machines 1, 2 and 3 are all producing springs of the same length. Machine 1 produces 2% defective springs, machine 2 produces 1% defective springs and machine 3 produces 3% defective springs. Of the total production of springs in the factory, machine 1 produces 35%, machine 2 produces 25% and machine 3 produces 40%. A) Of the total springs produced in a day, what percent are defective? B) Suppose a spring is randomly selected and found to be defective. What is the probability that it came from machine 3?
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