document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5081>Question 5081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help--how do i figure this one out?  Driving me crazy !!!\r<BR>\n" );
document.write( "\n" );
document.write( "Twenty bearded men gather.  Ten have eight-inch beards, six have ten-inch beards, and four have twelve-inch beards.  What is the expected length of a randomly selected man from this group?\r<BR>\n" );
document.write( "\n" );
document.write( "Tried 10/20 x 6/20 x 4/20 =12inches, that doesn't seem right. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2576 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is sort of like a weighted mean.  Multiply number of beards time length of beard, sum the products, and divide by the number of men with beards.  I get this:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2A8+%2B+6%2A10+%2B+4+%2A+12+%29%2F20 ALIGN=MIDDLE  ALT=\"%2810%2A8+%2B+6%2A10+%2B+4+%2A+12+%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2880%2B60%2B48%29%2F20+ ALIGN=MIDDLE  ALT=\"%2880%2B60%2B48%29%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=188%2F20 ALIGN=MIDDLE  ALT=\"188%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9.4 inches\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );