document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976048>Question 976048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> University X follows a symmetrical bell-shaped frequency distribution for the grading of its students. The top 16% of students would obtain Distinction.  The bottom 16% would Fail, while the remaining 68% would obtain a Pass. For the recent examination, it was found that the mean score of students was 68 marks, with a standard deviation of 6 marks. Mike has obtained 78 marks for his exam. What grade would he be getting?<BR>\n" );
document.write( "1)  Fail <BR>\n" );
document.write( "2)  Pass <BR>\n" );
document.write( "3)  Distinction <BR>\n" );
document.write( "4)  Insufficient information given to determine  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597704 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=597704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z-score for 78 is (78-68) / 6 approx 1.67<BR>\n" );
document.write( "P( X < 78 ) = 0.9525 and<BR>\n" );
document.write( "1 - 0.9525 = 0.0475, which means that Mike's grade is 3) Distinction<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );