document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094349>Question 1094349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 19&#8203;% of a certain&#8203; country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who think that it is too easy to vote is&#8203; (a) exactly&#8203; three, (b) at least&#8203; four, (c) less than eight. \r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709039 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a binomial probability problem with the number of trials = 12 and the probability of \"success\" = 0.19<BR>\n" );
document.write( "The probability of x successes in n tries is <BR>\n" );
document.write( "P(x) = C(n,x)p^x*(1-p)^(n-x), where p=probability of success and <BR>\n" );
document.write( "C(n,x) is the number of combinations of n things taken x at a time.<BR>\n" );
document.write( "(a) P(x=3) = C(12,3)*0.19^3*0.81^9 = 0.2265<BR>\n" );
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