document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189209>Question 1189209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lottery offers one 1000$ prize one 500$ prize and five 100$ prizes One thousand tickets are sold at 3$ each.Find the expectation if a person buys 1 ticket </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820514 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=820514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cost is $3 <BR>\n" );
document.write( "probability is 1/1000 of winning $1000, so x*p(x)=$1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1/999 of winning $500, or $0.501<BR>\n" );
document.write( "and 5/998 of winning $100 or $0.501<BR>\n" );
document.write( "E(x)=$2.002-$3=$0.998 or -$1.<BR>\n" );
document.write( "1000 people spend $3 and receive $2000 in prizes, so the total expectation for the 1000 is -$1000. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );