document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056099>Question 1056099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose three machines A, B, and C produce similar engine components. Machine A produces 45% of the<BR>\n" );
document.write( "total components, Machines produces 30%, and machine C produces 25%. For the usual production<BR>\n" );
document.write( "schedule, 6% of the components produced by Machine A do not meet established specifications; for<BR>\n" );
document.write( "Machines B and Machine C the figures are 4% and 3% respectively. One component is selected at random<BR>\n" );
document.write( "from from the total output and is found to be defective. What is the probability that the component selected<BR>\n" );
document.write( "was produced by machine A ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671265 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at 2000 components<BR>\n" );
document.write( "Machine A produces 900 and 54 (6%) are defective  846 not--900<BR>\n" );
document.write( "Machine B produces 600 and 24 (4%) are defective, 576 not--600<BR>\n" );
document.write( "Machine C produces 500 and 15 (3%) are defective, 485 not--500<BR>\n" );
document.write( "Totals===========2000----93-------------------1907 not-2000<BR>\n" );
document.write( "Given that one component is defective, the probability it is from A is 54/93 (18/31)=58.0% </SPAN>\n" );
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