document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188543>Question 1188543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tire factory wants to set a minimum mileage guarantee on its tyre. Tyre tests reveals that the mean mileage has a normal distribution with mean 109 and standard deviation 2.65.\r<BR>\n" );
document.write( "\n" );
document.write( "the manufacturer wants to set the minimum guaranteed mileage so that no more than 2.5 percent of tyres will have to be replaced.\r<BR>\n" );
document.write( "\n" );
document.write( "The Lower limit of guaranteed mileage is :? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819672 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=819672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z(0.025)=-1.96<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "-1.96=(x-109)/2.65<BR>\n" );
document.write( "-5.194=x-109<BR>\n" );
document.write( "x=103.81 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );