document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071663>Question 1071663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the mean height of sorghum varieties to be 68.22 inches with a variance of 10.8 inches,how many varieties in a field of 100 varieties, would you expect to have 6 feet tall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686579 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean  = 68.22 inches , variance  = 10.8 inches<BR>\n" );
document.write( "Standard deviation =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28variance%29 ALIGN=MIDDLE  ALT=\"sqrt%28variance%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                      =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%2810.8%29 ALIGN=MIDDLE  ALT=\"+sqrt%2810.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                =3.2863<BR>\n" );
document.write( "1 feet =12 inches<BR>\n" );
document.write( "6 feet  = 12*6 = 72 inches<BR>\n" );
document.write( " Z score for 72 inches  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-mean%29%2Fstandard+deviation ALIGN=MIDDLE  ALT=\"+%28x-mean%29%2Fstandard+deviation\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "                          =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2872-68.22%29%2F3.2863+ ALIGN=MIDDLE  ALT=\"+%2872-68.22%29%2F3.2863+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                          = 1.15029<BR>\n" );
document.write( " From probability -z score chart, cumulative area for z  = 1.15029 is 0.87493 = 87.493 %<BR>\n" );
document.write( "but , we need area for z > 1.15029 ( since we need no of people 6 feet or taller)<BR>\n" );
document.write( "probability  =  100- 87.493 = 12.507 %<BR>\n" );
document.write( "Hence probability  =  12.507 %<BR>\n" );
document.write( "for 100 varieties, 12.507 varieties would be 6 feet tall </SPAN>\n" );
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