document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148384>Question 148384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean life of a belted tire is given as 45000 km. The standard deviation is 2250 km.\r<BR>\n" );
document.write( "\n" );
document.write( "What percent of the tires will have a life that exceeds 47250 km? <BR>\n" );
document.write( "What percent of the tires will last longer than 40500 km? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108752 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=108752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean life of a belted tire is given as 45000 km. The standard deviation is 2250 km. <BR>\n" );
document.write( "What percent of the tires will have a life that exceeds 47250 km? <BR>\n" );
document.write( "What percent of the tires will last longer than 40500 km? \r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Find the z-score for 47250 and for 40500.<BR>\n" );
document.write( "z(47250) = (47250-45000)/2250  = 1<BR>\n" );
document.write( "P(z> 1 ) = 0.15866...<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "z(40500) = (40500-45000)/2250 = -4500/2250 = -2<BR>\n" );
document.write( "P(z>-2) = 0.9772499...<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );