document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131589>Question 1131589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours. If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours?\r<BR>\n" );
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document.write( "(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)<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 #748840 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=748840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 1/404=0.002475<BR>\n" );
document.write( "next 64 hours is what matters<BR>\n" );
document.write( "1-e^(-64*0.002475) is the area under the curve that is <=64<BR>\n" );
document.write( "=0.1465<BR>\n" );
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