document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859933>Question 859933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A club with 23 members is voting on a proposal. A group of 5 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 50% in favor of the proposal. What are the chances that the proposal will get the majority vote. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518067 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=518067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A club with 23 members is voting on a proposal. A group of 5 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 50% in favor of the proposal. What are the chances that the proposal will get the majority vote.<BR>\n" );
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document.write( "Majority means >= 12<BR>\n" );
document.write( "5 are already in favor.<BR>\n" );
document.write( "Need >= 7 out of 12.<BR>\n" );
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document.write( "P(x >= 7) = 1 - P(x<=6) = 1-binomcdf(12,0.5,6) = 0.3872<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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