document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469386>Question 469386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are three brands of riding mowers: Ranger, Turfmaster, and Colt. Fifity percent of the riding mowers sold by a company are rangers, thirty five percent are turfmasters, and fifteen percent colts. 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. 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\r<BR>\n" );
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document.write( "a) What is the chance that the riding mower is a Colt? <BR>\n" );
document.write( "b) What is the chance that the riding mower is a Turfmaster? <BR>\n" );
document.write( "c)What is the chance that the riding mower is a Ranger?\r<BR>\n" );
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document.write( "What confuses me are the two different percentages..how do I use the information?Also, yes there is a similar question to this posted on the website but no one has answered it yet so I posted this again. Thank you for your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322034 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are three brands of riding mowers: Ranger, Turfmaster, and Colt. <BR>\n" );
document.write( "Fifty percent of the riding mowers sold by a company are rangers, <BR>\n" );
document.write( "thirty five percent are turfmasters, and <BR>\n" );
document.write( "fifteen percent colts. <BR>\n" );
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document.write( "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. <BR>\n" );
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document.write( "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 <BR>\n" );
document.write( "a) What is the chance that the riding mower is a Colt? <BR>\n" );
document.write( "b) What is the chance that the riding mower is a Turfmaster? <BR>\n" );
document.write( "c)What is the chance that the riding mower is a Ranger? <BR>\n" );
document.write( "What confuses me are the two different percentages..how do I use the information?<BR>\n" );
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document.write( "This is a Bayes Theorem problem.  You probably have an example in<BR>\n" );
document.write( "your text.<BR>\n" );
document.write( "The 1st percentages are the percentage you have a Colt or a Turfmaster or<BR>\n" );
document.write( "a Ranges mower.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The 2nd percentages are conditional percents that you need repair given<BR>\n" );
document.write( "that you have a Colt, or you need repair given that you have a Turfmaster,<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "But P(Colt)*P(needs repair|Colt) = P(Colt AND needs repair)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "With that info for each of the mowers you can figure out <BR>\n" );
document.write( "probability you have a Colt or Turfmaster or Ranger.<BR>\n" );
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document.write( "Check your text for an example or check Bayes Theorem online.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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