document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086435>Question 1086435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The percentages obtained in an examination are normally distributed with<BR>\n" );
document.write( "mean 76% and standard deviation 15%. The top 15% of the students receive<BR>\n" );
document.write( "an A and the bottom 10% receives a F and fail. Find<BR>\n" );
document.write( "i) the minimum percentage to receive an A<BR>\n" );
document.write( "ii) the minimum percentage to pass. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700637 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=700637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Top 15% are above z=+1.037<BR>\n" );
document.write( "bottom 10% are below z=-1.645<BR>\n" );
document.write( "sd is 15%, so anything more than .246 or .25  below 76 is fail, so less than 51% fails.  <BR>\n" );
document.write( "sd is 15% so anything more than 15.56 or .16 above 76 is pass, so 92% passes<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "z.10=-1.645=(x-76)/15<BR>\n" );
document.write( "z.85=+1.037=(x-76)/15, solve for x </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );