document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115892>Question 1115892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The result of an exam  score for a given class is normally distributed. If the mean score is <BR>\n" );
document.write( "85 points and the standard deviation is equal to 20 points, find the cutoff passing grade <BR>\n" );
document.write( "such that 83.4% of those taking the test will pass. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730716 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=730716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We want the 83.4%ile or 0.8340<BR>\n" );
document.write( "The lowest grade to pass will be at the 16.6%ile or 0.1667<BR>\n" );
document.write( "on the z-table this is at -0.97<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "-0.97=(x-mean)/20<BR>\n" );
document.write( "-19.4=x-85<BR>\n" );
document.write( "x=65.6 cutoff<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );