document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083878>Question 1083878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Submit your answers to the following binomial questions. You may use the appendix tables 5 to answer parts a and b. According to a government study,15% of all children live in a household that has an income below the poverty level. If a random sample of 20 children is selected:\r<BR>\n" );
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document.write( "a) what is the probability that 5 or more live in poverty?\r<BR>\n" );
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document.write( "b) what is the probability that 5 live in poverty?\r<BR>\n" );
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document.write( "c) what is the expected number (mean) that live in poverty? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697930 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=697930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> expected value is x*p(x)=0.15*20=3<BR>\n" );
document.write( "exactly 5 is 20C5(0.15^5)(0.85^15)=0.1028<BR>\n" );
document.write( "5 or greater.  Do 0 to 4<BR>\n" );
document.write( "4 is 20C4(.15^4*.85^16)=0.1821<BR>\n" );
document.write( "3 is 20C3(.15^3*.85^17)=0.2428<BR>\n" );
document.write( "2 is 190 etc. 0.2293<BR>\n" );
document.write( "1 is 20*.15*.85^19=0.1368<BR>\n" );
document.write( "0 is .85^20=0.0388<BR>\n" );
document.write( "Total is 0.9326<BR>\n" );
document.write( "5 or greater is 1-0.9326=0.0674 </SPAN>\n" );
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