document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691001>Question 691001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three plants manufacture light bulb. plant 1 manufactures 40% of the light bulbs, plant 2  manufactures 35% of the light bulbs and plant 3  manufactures 25% of the light bulbs. at plant 1, 10 out of every 100 bulbs is defective, plant 2, 13 out of every 100 bulbs is defective, plant 3,  20 out of every 100 bulbs is defective. what is the probability that a costumer that purchases a bulb from dims factory buys one defective?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426890 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We could start based on a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs manufactured,<BR>\n" );
document.write( "but we can calculate based on any total number of bulbs manufactured,<BR>\n" );
document.write( "and the ratios would be the same anyway.<BR>\n" );
document.write( "(I will choose 2000 because that gives me nice round numbers).<BR>\n" );
document.write( " <BR>\n" );
document.write( "For every <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs manufactured, the following is true:<BR>\n" );
document.write( "Plant #1 makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.40%2A2000=800 ALIGN=MIDDLE  ALT=\"0.40%2A2000=800\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs (40% of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >), including<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2F100%29%2A800=80 ALIGN=MIDDLE  ALT=\"%2810%2F100%29%2A800=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective bulbs.<BR>\n" );
document.write( "Plant #2 makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.35%2A2000=700 ALIGN=MIDDLE  ALT=\"0.35%2A2000=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs (35% of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >), including<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2F100%29%2A700=101 ALIGN=MIDDLE  ALT=\"%2813%2F100%29%2A700=101\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective bulbs.<BR>\n" );
document.write( "Plant #3 makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25%2A2000=500 ALIGN=MIDDLE  ALT=\"0.25%2A2000=500\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs (25% of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >), including<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F100%29%2A500=100 ALIGN=MIDDLE  ALT=\"%2820%2F100%29%2A500=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective bulbs.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Out of a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2B101%2B100=281 ALIGN=MIDDLE  ALT=\"80%2B101%2B100=281\"   DISABLED_style= \"max-width:90%; height:auto;\" > bulbs are defective.<BR>\n" );
document.write( "A customer who buys one bulb from that company has a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=281%2F2000 ALIGN=MIDDLE  ALT=\"281%2F2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or 14.05%) probability of getting a defective bulb. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );