Statistics, Probability, OR equation

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To find the probability that a defective electric range came from company A, Bayes' theorem is applied. The total number of ranges purchased is 900, with 30 defective from company A and 24 from company B. The calculation involves determining the likelihood of a range being defective given its source. The incorrect initial approach used the "OR" equation, leading to confusion. Ultimately, Bayes' theorem provides the correct framework for solving the problem.
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Homework Statement



An appliance store purchases electric ranges from two companies. From company A, 600 ranges are purchased, and 5% are found to be defective. From company B, 300 ranges are purchased, and 8% are found to be defective. Given that a range is defective, find the probability that it came from company A.

Homework Equations



(work shown below) use "OR" equation

The Attempt at a Solution



(600)(.5) - (300)(.8) = 60
 
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your answer is wrong..

use bayes theorem
 

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