document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095502>Question 1095502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A statistics textbook chapter contains 64 exercises, 10 of which are essay questions. A student is assigned 14 problems.\r<BR>\n" );
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document.write( "What is the probability that two or more are essay? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710033 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=710033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability that one or zero are essay and subtract from 1.<BR>\n" );
document.write( "Denominator is 64C14<BR>\n" );
document.write( "Numerator is 10C0*54C14<BR>\n" );
document.write( "That is 0.0678<BR>\n" );
document.write( "Do for 1 which has 14 different ways of occurring<BR>\n" );
document.write( "14*10C1*54C13 over the same denominator=0.3242<BR>\n" );
document.write( "That sum is 0.3920<BR>\n" );
document.write( "The complement is 0.6080, and that is the probability that two or more are essay.<BR>\n" );
document.write( "This makes intuitive sense, since the expected value is just under 1/6 probability that the first one will be essay and with 14 problems, one would expect about 2 and a little more to be the most common value. </SPAN>\n" );
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