document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=489677>Question 489677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A statistics lecturer has found that the grades on the final exam are normally distributed with a mean of 64 and a standard deviation of 11. <BR>\n" );
document.write( "question: if the passing grade is 50, what proportion of the class will fail? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333763 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A statistics lecturer has found that the grades on the final exam are normally distributed with a mean of 64 and a standard deviation of 11. <BR>\n" );
document.write( "question: if the passing grade is 50, what proportion of the class will fail?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z(50) = (50-64)/11 = -14/11<BR>\n" );
document.write( "P(x < 50) = P(z < -14/11) = 0.1016<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );