Statistics, Probability, OR equation

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SUMMARY

The discussion focuses on calculating the probability that a defective electric range came from company A, given that 600 ranges were purchased from company A with a 5% defect rate and 300 ranges from company B with an 8% defect rate. The correct approach involves applying Bayes' Theorem to determine this conditional probability. The initial attempt at a solution was incorrect, highlighting the importance of using the proper statistical methods for accurate results.

PREREQUISITES
  • Understanding of Bayes' Theorem
  • Basic knowledge of probability concepts
  • Familiarity with defect rates and their implications
  • Ability to perform calculations involving percentages
NEXT STEPS
  • Study Bayes' Theorem in detail, focusing on its applications in real-world scenarios
  • Learn about conditional probability and its significance in statistics
  • Explore examples of defect rate calculations in quality control
  • Review the "OR" equation in probability and its use cases
USEFUL FOR

Students studying statistics, data analysts, and professionals in quality assurance looking to enhance their understanding of probability and statistical methods in real-world applications.

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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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