document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305807>Question 305807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Monthly utility bills in a certain city are normally distributed with a mean of 100 and a standard deviation of 12.  A utility bill is randomly selected.\r<BR>\n" );
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document.write( "What is the highest utility bill that can be in the bottom 32% of the bill? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218931 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=218931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Monthly utility bills in a certain city are normally distributed with a mean of 100 and a standard deviation of 12. A utility bill is randomly selected. <BR>\n" );
document.write( "What is the highest utility bill that can be in the bottom 32% of the bill?<BR>\n" );
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document.write( "Find the z-value that has a 32% left tail.<BR>\n" );
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document.write( "z = invNorm(0.32) = -0.4677<BR>\n" );
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document.write( "Find the corresponding \"x\" value:<BR>\n" );
document.write( "x = zs+u<BR>\n" );
document.write( "x = -0.4677*12 + 100<BR>\n" );
document.write( "x = 94.39<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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