document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053959>Question 1053959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An instructor gives a 100 point exam in which the grades are normally distributed. The mean is 60 and the standard deviation is 10. If there are 5% A's and 5% F's, 15% B's and 15% D's and 60% C, find the scores that divide the distribution into those categories.<BR>\n" );
document.write( "Mainly, I don't understand how to do this:<BR>\n" );
document.write( "The z-score below which 5% of the scores lie is -1.64485<BR>\n" );
document.write( "The z-score above which 5% of the scores lie is +1.64485.<BR>\n" );
document.write( "How do you find the 1.64485? Step by step processes will be helpful for everything!<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669151 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=669151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Need to Know:<BR>\n" );
document.write( "z = invNorm(Percentage). Percentage listed as a decimal for arithmetic purposes.<BR>\n" );
document.write( "That Percentage being to the Area under the standard Normal Curve to the left of that z - value<BR>\n" );
document.write( "Ex: Just a Visual of areas left of the Green Lines for various z-values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+graph%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+exp%28-x%5E2%2F2%29%29%2C+green%28line%281%2C0%2C1%2Cexp%28-1%5E2%2F2%29%29%2Cline%28-1%2C0%2C-1%2Cexp%28-1%5E2%2F2%29%29%29%2Cgreen%28line%282%2C0%2C2%2Cexp%28-2%5E2%2F2%29%29%2Cline%28-2%2C0%2C-2%2Cexp%28-2%5E2%2F2%29%29%29%2Cgreen%28line%283%2C0%2C3%2Cexp%28-3%5E2%2F2%29%29%2Cline%28-3%2C0%2C-3%2Cexp%28-3%5E2%2F2%29%29%29%2Cgreen%28line%28+0%2C0%2C+0%2Cexp%280%5E2%2F2%29%29%29%2Clocate%284.8%2C-.01%2Cz%29%2Clocate%284.8%2C.2%2Cz%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "mean is 60 and the standard deviation is 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28F%29 ALIGN=MIDDLE  ALT=\"highlight%28F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > top score: invNorm(.05) = -1.64485  Use Calculator<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 0r <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%28sigma%29%2Az+%2B+mu=blue+%28x%29 ALIGN=MIDDLE  ALT=\"blue%28sigma%29%2Az+%2B+mu=blue+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%2810%29%2Az+%2B+60=blue+ ALIGN=MIDDLE  ALT=\"blue%2810%29%2Az+%2B+60=blue+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Top F score<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A%29 ALIGN=MIDDLE  ALT=\"highlight%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > least score: invNorm(.95) = 1.64485     Calculator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%2810%29%2Az+%2B+60=blue+%28score%29 ALIGN=MIDDLE  ALT=\"blue%2810%29%2Az+%2B+60=blue+%28score%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "|<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D%29 ALIGN=MIDDLE  ALT=\"highlight%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > least score:  one more than Top F score\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D%29 ALIGN=MIDDLE  ALT=\"highlight%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > top score: invNorm(.20)= z <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.15+%2B+.05%29 ALIGN=MIDDLE  ALT=\"%28.15+%2B+.05%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%2810%29%2Az+%2B+60=blue+%28score%29 ALIGN=MIDDLE  ALT=\"blue%2810%29%2Az+%2B+60=blue+%28score%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "|<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%29 ALIGN=MIDDLE  ALT=\"highlight%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > least score: one more than top D . <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%29 ALIGN=MIDDLE  ALT=\"highlight%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > top score:invNorm(.80) =z  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.60%2B.20 ALIGN=MIDDLE  ALT=\".60%2B.20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%2810%29%2Az+%2B+60=blue+%28score%29 ALIGN=MIDDLE  ALT=\"blue%2810%29%2Az+%2B+60=blue+%28score%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "|<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B%29 ALIGN=MIDDLE  ALT=\"highlight%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > least score: one more than top C . <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B%29 ALIGN=MIDDLE  ALT=\"highlight%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > top score: One less than bottom A score\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );