document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968975>Question 968975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability of a light bulb being defective is 0.02. If Home Depot buys 100 bulbs, find the probability that they get at<BR>\n" );
document.write( " least one that is defective. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592056 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this uses binomial probability<BR>\n" );
document.write( "p = .02, q = .98, n = 100<BR>\n" );
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document.write( "binomial probability formula is<BR>\n" );
document.write( "Probability ( X = k ) = (combination of n things taken k at a time) * p^k * q^(n-k)<BR>\n" );
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document.write( "Probability ( X > or = 1 ) = 1 - P( X = 0 ) <BR>\n" );
document.write( "P( X = 0 ) = combination of 100 light bulbs taken 0 at a time) * (.02)^0 * (.98)^100 = (( 100! / (0! * (100 - 0)!)) * 1 * 0.132619556<BR>\n" );
document.write( "P( X = 0 ) = 1 * 0.132619556 approx 0.13<BR>\n" );
document.write( "Probability ( X > or = 1 ) = 1 - 0.13 = 0.87 <BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "probability that they get at least one that is defective is 0.87 </SPAN>\n" );
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