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 #730719 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we want the z-score associated with 1-0.834 = 0.166 probability<BR>\n" );
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document.write( "that z-score is -0.97, then<BR>\n" );
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document.write( "-0.97 = (X - 85) / 20<BR>\n" );
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document.write( "X - 85 = -19.4<BR>\n" );
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document.write( "X =  65.6<BR>\n" );
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document.write( "the cutoff grade is 65.6 approximately 66, this means<BR>\n" );
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document.write( "anyone getting a grade of 66 or higher passes<BR>\n" );
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