document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105985>Question 1105985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are in a class of 31 students and it is assumed that approximately 16% of the population is left-handed.<BR>\n" );
document.write( "(a) Compute the probability that exactly five students are left-handed. <BR>\n" );
document.write( "(b) Compute the probability that at most four students are left-handed. <BR>\n" );
document.write( "(c) Compute the probability that at least six students are left-handed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720905 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=720905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. This is 31C*50.16^5*0.84^26=0.1915<BR>\n" );
document.write( "b. At most 4 is<BR>\n" );
document.write( "31C4*0.16^4*0.84^27=0.1861<BR>\n" );
document.write( "31C3*0.16^3*0.84^28=0.1396<BR>\n" );
document.write( "31C2*0.16^2*0.84^29=0.0758<BR>\n" );
document.write( "next is 0.0265<BR>\n" );
document.write( "0 is 0.84^31=0.0045<BR>\n" );
document.write( "They add up to 0.4325 ANSWER<BR>\n" );
document.write( "Count the first one for at least 6 students, and the probability of 5 and under is 0.627, so the complement is at least 6, and that is 0.373 ANSWER </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );