document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099122>Question 1099122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose your state runs a \"game\" where you pay one dollar for a ticket. You then scratch<BR>\n" );
document.write( "a silver lm o the ticket to see whether you win a prize. Two ticket in a thousand pay<BR>\n" );
document.write( "$100, 20 tickets in a thousand pay $10, 100 tickets in a thousand pay $2, and 150 tickets<BR>\n" );
document.write( "in a thousand pay $1. The remaining tickets win nothing and leave you behind by the<BR>\n" );
document.write( "dollar you paid for them. Let the random variable X be your net gain per ticket in this<BR>\n" );
document.write( "game.<BR>\n" );
document.write( "Guidance:<BR>\n" );
document.write( "For example, if you win $10, your 'net gain' (after paying $1 for the ticket) is $9. If your<BR>\n" );
document.write( "ticket pays nothing, your 'net gain' (after paying $1 for the ticket) is $-1.<BR>\n" );
document.write( "(a) Construct a table showing the probability distribution of X. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713571 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=713571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x===============p(x)======x*p(x)<BR>\n" );
document.write( "99--------------0.002=====.198<BR>\n" );
document.write( "9---------------0.02======.18<BR>\n" );
document.write( "1---------------0.10------.10<BR>\n" );
document.write( "0---------------0.15=======0<BR>\n" );
document.write( "-1==============0.728======minus 0.728<BR>\n" );
document.write( "the E(X)=0.478-0.728=-0.25 or a loss of 25 cents. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );