document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082448>Question 1082448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturing plant produces a special kind of lightbulb.\r<BR>\n" );
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document.write( "Each light bulb produced has a 0.05 probability of being defective.<BR>\n" );
document.write( "Five light bulbs are chosen at random from the production line.<BR>\n" );
document.write( "To the nearest thousandth, what is the probability that exactly two of the five bulbs will be defective? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696509 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=696509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The probability of <i>k</i> successes in <i>n</i> independent trials where <i>p</i> is the probability of success on any given trial is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(k,n,p)\ =\ {{n}\choose{k}}(p)^k(1-p)^{n-k}\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large {{n}\choose{k}}\"> is the number of combinations of <i>n</i> things taken <i>k</i> at a time.\r<BR>\n" );
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document.write( "So you want <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(2,5,0.05)\ =\ {{5}\choose{2}}(0.05)^2(1-0.05)^{5-2}\">\r<BR>\n" );
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document.write( "Hint:  If you are unfamiliar with the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large {{n}\choose{k}}\"> notation, the value can be calculated by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{n!}{k!(n-k)!\">\r<BR>\n" );
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document.write( "And congratulations!  You get to do your own arithmetic.  Don't forget to round to 3 decimal places.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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