Question 469386
There are three brands of riding mowers: Ranger, Turfmaster, and Colt. 
Fifty percent of the riding mowers sold by a company are rangers, 
thirty five percent are turfmasters, and 
fifteen percent colts. 
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Each brand of mower comes with a one-year parts and labor warranty. Based on their records, Perry knows that the chance of a warranty claim is 5% for the Ranger, 15% for the Turfmaster, and 25% for the Colt. 
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If the company's manager tells a guy that a riding mower has just been brought in for a repair covered by the warranty, then 
a) What is the chance that the riding mower is a Colt? 
b) What is the chance that the riding mower is a Turfmaster? 
c)What is the chance that the riding mower is a Ranger? 
What confuses me are the two different percentages..how do I use the information?
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This is a Bayes Theorem problem.  You probably have an example in
your text.
The 1st percentages are the percentage you have a Colt or a Turfmaster or
a Ranges mower.
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The 2nd percentages are conditional percents that you need repair given
that you have a Colt, or you need repair given that you have a Turfmaster,
etc.
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But P(Colt)*P(needs repair|Colt) = P(Colt AND needs repair)
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With that info for each of the mowers you can figure out 
probability you have a Colt or Turfmaster or Ranger.
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Check your text for an example or check Bayes Theorem online.
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Cheers,
Stan H.