document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316598>Question 316598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The XYZ Company tested a new product and found its lifetime to be normally distributed, with a mean life of 146 days and a standard deviation of 19.5 days. what is the probability that a product will last between 154 and 180 days?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226503 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=226503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The XYZ Company tested a new product and found its lifetime to be normally distributed, with a mean life of 146 days and a standard deviation of 19.5 days. what is the probability that a product will last between 154 and 180 days? <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Find the z-values:<BR>\n" );
document.write( "z(154) = (154-146)/19.5 = 0.4103<BR>\n" );
document.write( " ---<BR>\n" );
document.write( "z(180) = (180-146)/19.5 = 1.7436<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "P(154 < x <  180) = P(0.4103 < z < 1.7436) = 0.3002<BR>\n" );
document.write( "=======================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );