document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829059>Question 829059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (c)	It is observed that the average scores on a science test are normally distributed with a mean of 500 and a standard deviation of 80. The scores may have fractional parts. <BR>\n" );
document.write( "(i) What proportion of the scores is between 400 and 600?	1 mark<BR>\n" );
document.write( "(ii) What value do the upper 10% of the scores exceed? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499670 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28600-500%29%2F80 ALIGN=MIDDLE  ALT=\"z=%28600-500%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=1.25 ALIGN=MIDDLE  ALT=\"z=1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29=.8944 ALIGN=MIDDLE  ALT=\"P%281.25%29=.8944\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can calculate  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-1.25%29=0.10565 ALIGN=MIDDLE  ALT=\"P%28-1.25%29=0.10565\"   DISABLED_style= \"max-width:90%; height:auto;\" > or use symmetry since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29-P%28-1.25%29=2%2A%28P%281.25%29-P%280%29%29 ALIGN=MIDDLE  ALT=\"P%281.25%29-P%28-1.25%29=2%2A%28P%281.25%29-P%280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either way <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29-P%28-1.25%29=0.7887 ALIGN=MIDDLE  ALT=\"P%281.25%29-P%28-1.25%29=0.7887\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. Using EXCEL's NORM.INV function for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28z%29=0.90 ALIGN=MIDDLE  ALT=\"P%28z%29=0.90\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=602.4 ALIGN=MIDDLE  ALT=\"z=602.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );