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January 3rd, 2009, 06:07 PM  #1 
Newbie Joined: Dec 2008 Posts: 2 Thanks: 0  Bayes's Theorem Question Answer Check
An appliance store purchases electric ranges from 2 companies. From company A, 500 ranges are purchased, and 2% are defective. From company B, 850 ranges are purchased, and 2% are defective. Given that a range is defective, find the probability that it came from company B. My Answer= .63 Answer in Textbook= .531 
January 4th, 2009, 09:04 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Bayes's Theorem Question Answer Check
I agree with your answer. There are 17 and 10 defective ranges, so 17/27 is the probability required.

January 6th, 2009, 06:15 AM  #3 
Newbie Joined: Dec 2008 Posts: 2 Thanks: 0  Re: Bayes's Theorem Question Answer Check
Thanks for your help


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