document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962665>Question 962665</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? Round to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588176 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=588176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(Z < z) = 0.67 has the solution z = 0.4399\r<BR>\n" );
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document.write( "So P(Z < 0.4399) = 0.67 approximately\r<BR>\n" );
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document.write( "You use a calculator or table to determine this.\r<BR>\n" );
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document.write( "z = (x-mu)/sigma\r<BR>\n" );
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document.write( "0.4399 = (11.54-10)/sigma\r<BR>\n" );
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document.write( "0.4399 = 1.54/sigma\r<BR>\n" );
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document.write( "0.4399*sigma = 1.54\r<BR>\n" );
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document.write( "sigma = 1.54/0.4399\r<BR>\n" );
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document.write( "sigma = 3.5007956\r<BR>\n" );
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document.write( "sigma = 3.50\r<BR>\n" );
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document.write( "The standard deviation is approximtely 3.50\r<BR>\n" );
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