document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334850>Question 334850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume fluorescent lamps made by a manufacturer have a probability of 0.05 of being inoperable when new. A person purchases 8 of the lamps for home use.\r<BR>\n" );
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document.write( "a) What is the probability that exactly one lamp is inoperable of the eight?<BR>\n" );
document.write( "b) What is the probability that all eight lamps are functional?<BR>\n" );
document.write( "c) Determine the probability that one ormore lamps are not operable?<BR>\n" );
document.write( "d) Plot the probability that one or more lamps are not operable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239942 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=239942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume fluorescent lamps made by a manufacturer have a <BR>\n" );
document.write( "probability of 0.05 of being inoperable when new.<BR>\n" );
document.write( "probability of 0.95 of being operable when new.<BR>\n" );
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document.write( "A person purchases 8 of the lamps for home use. <BR>\n" );
document.write( "a) What is the probability that exactly one lamp is inoperable of the eight?<BR>\n" );
document.write( "P(x = 1) = 8C1*(0.05)*(0.95)^7 = 0.2793<BR>\n" );
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document.write( "b) What is the probability that all eight lamps are functional?<BR>\n" );
document.write( "P(x = 0) = 8C0*(0.05)^0*(0.95)^8 = 0.95^8 = 0.6634<BR>\n" );
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document.write( "c) Determine the probability that one or more lamps are not operable?<BR>\n" );
document.write( "P(1<= not operable <=8) = 1-P(x=0 not operable) = 1-0.6634 = 0.3366<BR>\n" );
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document.write( "d) Plot the probability that one or more lamps are not operable.<BR>\n" );
document.write( "That is the same question as \"c\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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