Statistics, Probability, OR equation

AI Thread Summary
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.
Calculator14
Messages
23
Reaction score
0

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
 
Physics news on Phys.org
your answer is wrong..

use bayes theorem
 

Similar threads

Probability Example: A vs B | Competing Software Companies
Replies
1
Views
2K
I Optimizing Defective Rates with Bayes' Formula
Replies
17
Views
2K
Probability of Overhauling a Machine Unnecessarily
Replies
3
Views
2K
MHB Could use help, know the answers but with the process and equations
Replies
2
Views
3K
How Do We Calculate Expected Defects in Quality Control Samples?
Replies
3
Views
2K
What is the probability of a defective component from two companies?
Replies
6
Views
8K
Help Binomial Distribution: Statistics for M.E's
Replies
12
Views
3K
How Do You Calculate Insertion Loss in a T Network?
Replies
10
Views
3K
B Why did it suddenly become subtractive? (Example of Bayes’ Theorem)
Replies
9
Views
2K
Probability of 2 Defective Laptops Among 6 Purchased
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top