document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926176>Question 926176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X is a normally distributed random variable with a mean of 10.00.  If the probability that X is less than 11.54 is 0.67 (as shown below), then what is the standard deviation of X? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562112 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=562112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the z-value associated with probability 0.67 is 0.44, therefore<BR>\n" );
document.write( "0.44 = (11.54 - 10.00) / standard deviation<BR>\n" );
document.write( "standard deviation * 0.44 = 1.54<BR>\n" );
document.write( "standard deviation = 1.54 / 0.44 = 3.5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );