document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109908>Question 1109908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find P81, which separates the bottom 81% from the top 19%. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724887 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=724887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to solve this problem using the normal distribution, the table of z-values is used<BR>\n" );
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document.write( "a probability of 81 corresponds to a z-value of 0.87<BR>\n" );
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document.write( "0.87 = (X - 63.2) / 11.7<BR>\n" );
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document.write( "X - 63.2 = 0.87 * 11.7 = 10.179<BR>\n" );
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document.write( "X = 63.2 + 10.179 = 73.379 approximately 73<BR>\n" );
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document.write( "a score of 73 divides the bottom 81% from the top 19%<BR>\n" );
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