document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981332>Question 981332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 17%	of	students	enrolled	in	higher	education	took	at	least	1	online	course	last	fall.	Choose	5	<BR>\n" );
document.write( "enrolled	students	at	random.	Find	the	probability	that	<BR>\n" );
document.write( "a. All	5	took	online	classes.<BR>\n" );
document.write( "b. None	of	the	5	took	a	course	online<BR>\n" );
document.write( "c. At	least	1	took	an	online	course.<BR>\n" );
document.write( "d. At	least	1	did	not	take	any	online	course<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602326 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=602326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  0.17^5=0.000142  All did<BR>\n" );
document.write( "2.  0.83^5=0.3939  None did<BR>\n" );
document.write( "3. At least 1 is 1-P(none did)=0.6061<BR>\n" );
document.write( "4.  At least 1 did not take an online course is 1-P(All did)=1-0.000142=0.9999 <BR>\n" );
document.write( "Long way is <BR>\n" );
document.write( "1 did not is .83*.17^4*5=0.003<BR>\n" );
document.write( "2 did not is .83^2*.17^3*10 (the number of ways it can happen)=0.0339<BR>\n" );
document.write( "3 did not is .83^3*.17^2*10=0.1653<BR>\n" );
document.write( "4 did not is .83^4*.17*5=.4034<BR>\n" );
document.write( "5 did not is .83^5=0.3939 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );