document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074651>Question 1074651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that 85% of graduating students attend their graduation ceremony. A group of 15 students is randomly chosen. What is the probability that at least 12 students from the sample attend graduation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689346 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=689346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At least 12 includes 12,13,14,15<BR>\n" );
document.write( "for 12<BR>\n" );
document.write( "15C12.85^12*.15^3=0.2184<BR>\n" );
document.write( "15C13.85^13*.15^2=0.2856<BR>\n" );
document.write( "15C14^.85^14*.15=0.2312<BR>\n" );
document.write( "15C15.85^15=0.0874<BR>\n" );
document.write( "Sum is 0.8226<BR>\n" );
document.write( "probability at least 12 attend is 0.823. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );