document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206686>Question 1206686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A school newspaper reporter decides to randomly survey 18 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 22% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.<BR>\n" );
document.write( "Find the probability that at most 4 students will attend. (Round your answer to four decimal places.)<BR>\n" );
document.write( "Find the probability that more than 3 students will attend. (Round your answer to four decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844281 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> as far as i can tell, this is a binomial distribution type of problem.\r<BR>\n" );
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document.write( "the formula to use is p(x) = p^x * q^(n-x) * c(n,x).\r<BR>\n" );
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document.write( "in this problem:\r<BR>\n" );
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document.write( "n is 18<BR>\n" );
document.write( "x is 0 to 18<BR>\n" );
document.write( "p is .22<BR>\n" );
document.write( "q is 1 - p = .78\r<BR>\n" );
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document.write( "the total distribution is shown in the attached excel printout.\r<BR>\n" );
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document.write( "total probability = 1 as it should be.<BR>\n" );
document.write( "it's the sum of the probability for x from 0 to 18.\r<BR>\n" );
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document.write( "probability for at most 4 students is the sum of the probability for x from 0 to 4.\r<BR>\n" );
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document.write( "probability for greater than 3 students is the sum of the probability for x from 4 to 18. </SPAN>\n" );
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