document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553192>Question 553192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of a consumer electronics product expects 2% of units to fail during the warranty period. A sample of 500 independent units is tracked for warranty performance. \r<BR>\n" );
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document.write( "(a) What is the probability that none fails during the warranty period? <BR>\n" );
document.write( "(b) What is the expected number of failures during the warranty period?<BR>\n" );
document.write( "(c) What is the probability that more than two units fail during the warranty period?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360733 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=360733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of a consumer electronics product expects 2% of units to fail during the warranty period. A sample of 500 independent units is tracked for warranty performance.<BR>\n" );
document.write( "Binomial Problem with n = 500 and p(fail) = 0.02 and P(good) = 0.98<BR>\n" );
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document.write( "(a) What is the probability that none fails during the warranty period?<BR>\n" );
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document.write( "P(x = 500) = 0.98^500 = 0.000041024<BR>\n" );
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document.write( "(b) What is the expected number of failures during the warranty period?<BR>\n" );
document.write( "Expected number = mean = np = 500*0.02 = 10<BR>\n" );
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document.write( "(c) What is the probability that more than two units fail during the warranty period? <BR>\n" );
document.write( "P(x >= 3) = 1 - P(0<= x <=2) = 1 - binomcdf(500,0.02,2) = 0.9974<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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