document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167767>Question 1167767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Canada, 72% of the voters are not in favour of the reinstatement of the death penalty. If three voters were selected at random what is the probability that:\r<BR>\n" );
document.write( "\n" );
document.write( "1. exactly 2 were not in favour of the death penalty. got this as 0.435<BR>\n" );
document.write( "2. at most 2 were not in favour of the death penalty got this as 0.627<BR>\n" );
document.write( "3. at least 2 were not in favour of the death penalty got this as 0.809\r<BR>\n" );
document.write( "\n" );
document.write( "If n = 10 voters are observed.<BR>\n" );
document.write( "1. Find the probability at least 7 do not favour the death penalty<BR>\n" );
document.write( "2. Find the probability at least 6 and at most 8 do not favour the death<BR>\n" );
document.write( "3. Find the probability at most 5 do not favour the death penalty penalty. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792467 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=792467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first two are correct.<BR>\n" );
document.write( "At least 2 were not in favor should be low probability.<BR>\n" );
document.write( "That is 2 not in favor (1 in favor) which has probability 0.1693, and 3 not in favor, which is .28^3 or 0.0220<BR>\n" );
document.write( "That sum is 0.1913, which is the complement of your answer,\r<BR>\n" );
document.write( "\n" );
document.write( "for 10, at least 7 means 7,8,9,10 is 0.7021 from the calculator<BR>\n" );
document.write( "for 7 it is 10C7=120*.72^7*.28^3=0.2642<BR>\n" );
document.write( "for 8 it is 45*0.72^8*0.28^2=0.2548<BR>\n" );
document.write( "for 9 it is 10*0.72^9*0.28=0.1456<BR>\n" );
document.write( "for 10 it is .72^10=0.0373<BR>\n" );
document.write( "That sum is 0.7019. The 0.7021 is without rounding, so use that.\r<BR>\n" );
document.write( "\n" );
document.write( "at least 6 an at most 8 is 6,7,8. We have the latter two already<BR>\n" );
document.write( "binomialpdf for 6 is 0.1798.<BR>\n" );
document.write( "the answer is 0.6988.\r<BR>\n" );
document.write( "\n" );
document.write( "at most 5 is probability 0.1181 from the calculator binomcdf(10,72,5) ENTER. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );