document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029127>Question 1029127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let x be a random variable that represents the commute time of teachers in a large urban area. If x is normally distributed with a mean of 46 minutes and a standard deviation of 5 minutes, find the commute time which is at the top of the bottom 25%.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644163 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Need to find the z value for the 25th percentile.<BR>\n" );
document.write( "It is -0.675<BR>\n" );
document.write( "z=(x-mu)/sd<BR>\n" );
document.write( "-0.675=(x-46)/5<BR>\n" );
document.write( "-3.375=x-46<BR>\n" );
document.write( "42.625 minutes=x<BR>\n" );
document.write( "This is -0.675 sd below the mean, and that represents the 25th percentile. </SPAN>\n" );
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