document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=426480>Question 426480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is known that 20% of all the residents that take the FL DL test for the first time fail it. Suppose that 15 people on a given day are taking the test for the first time. What is the probability that exactly 5 people fail it? At least one person fails the test?\r<BR>\n" );
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document.write( "Binomial Distibution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296664 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nCr=combination of n things taken r at a time. Find the coefficient for a certain binomial expansion.<BR>\n" );
document.write( "p=.8, f=.2<BR>\n" );
document.write( "1-.8^15=.9648 probability that at least one person fails the test.<BR>\n" );
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document.write( "15C5*f^5p^10<BR>\n" );
document.write( "=3003*f^5p^10<BR>\n" );
document.write( "=.1032 probability that exactly 5 people fail.<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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