document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345425>Question 345425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Component 1 has an exponential failure rate of 2X10exp-2 failures per hour. component 2 is normally distributed with a mean of 200 hours and standard deviation of 50 hurs. Assuming independence, calculate the reliability of the system after 50 hours.\r<BR>\n" );
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document.write( "------Component 1----------component 2--------------- </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247068 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=247068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Component 1 has an exponential failure rate of 2X10exp-2 failures per hour. component 2 is normally distributed with a mean of 200 hours and standard deviation of 50 hrs. Assuming independence, calculate the reliability of the system after 50 hours. <BR>\n" );
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document.write( "Component 1----------<BR>\n" );
document.write( "reliability rate = (1-(2x10^-2))^50 = 0.3642<BR>\n" );
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document.write( "component 2----------<BR>\n" );
document.write( "z(50) = (50-200)/50 = -3<BR>\n" );
document.write( "reliability = 1 - P(z< -3) = 1-0.0013 = 0.9987<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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