document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891687>Question 891687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain factory, three machines A, B and C produce the same product. The machines A and B produce respectively 35 and 45 percent of the total output.  The percentage of defectives produced by each of the machines A, B and C are respectively 5, 4 and 2 percent. <BR>\n" );
document.write( "(a) An item is drawn at random from the total output.  What is the probability that it is defective?<BR>\n" );
document.write( "(b) An item drawn at random from the total output turned out to be non defective. What is the probability that it was manufactured by machine A? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540017 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 300<BR>\n" );
document.write( ".35,.45,.20<BR>\n" );
document.write( ".05,.04,.02\r<BR>\n" );
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document.write( ".35*300=105<BR>\n" );
document.write( ".45*300=135<BR>\n" );
document.write( ".20*300= 60\r<BR>\n" );
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document.write( ".05*105=5.25        <BR>\n" );
document.write( ".04*135=5.40        <BR>\n" );
document.write( ".02*60=1.2   <BR>\n" );
document.write( "11.85  \r<BR>\n" );
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document.write( "5.25+5.40+1.2=11.85<BR>\n" );
document.write( "11.85/300=0.0395 <BR>\n" );
document.write( "a) 3.95%\r<BR>\n" );
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document.write( ".95*105=99.75<BR>\n" );
document.write( ".96*300=95.6<BR>\n" );
document.write( ".98*300=98.8 <BR>\n" );
document.write( "294.15\r<BR>\n" );
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document.write( "99.75/294.15=0.339 <BR>\n" );
document.write( "b) 3.39%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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