document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=652259>Question 652259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five thousand raffle tickets are to be sold at $10 each to benefit a local community group. The prizes, the number of each prize to be given away, and the dollar value of winnings for each prize are as follows:<BR>\n" );
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document.write( " Prize	Number to Be<BR>\n" );
document.write( "Given Away	Dollar Value<BR>\n" );
document.write( "  Automobile	1          	$20,000	 <BR>\n" );
document.write( "  Entertainment center	2          	3,000	 each<BR>\n" );
document.write( "  DVD recorder	5          	400	 each<BR>\n" );
document.write( "  Gift certificate	50          	20	 each\r<BR>\n" );
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document.write( "If you buy one ticket, calculate your expected winnings. (Form the probability distribution of x = your dollar winnings, and remember to subtract the cost of your ticket.\r<BR>\n" );
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document.write( "i have tried many different ways. i've tried<BR>\n" );
document.write( "Auto	0.0002	20000	10	19990<BR>\n" );
document.write( "ente center	0.0004	3000	10	2990<BR>\n" );
document.write( "dvd	0.001	400	10	390<BR>\n" );
document.write( "gift cerft	0.01	20	10	10\r<BR>\n" );
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document.write( "19990(.0002)+	2990(.0004)+	390(.001)+	10(.01)	5.684<BR>\n" );
document.write( "3.998	1.196	0.39	0.1	5.684\r<BR>\n" );
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document.write( "396010000(.0002)+	8940100(.0004)+	152100(.001)+	100(.01)	82931.14<BR>\n" );
document.write( "79202	3576.04	152.1	1	82931.14\r<BR>\n" );
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document.write( "	82931.14-	(5.684)^2	82898.83	\r<BR>\n" );
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document.write( "	SQUARE ROOT   	82898.83		<BR>\n" );
document.write( "	287.922<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423295 by </B><A HREF=/tutors/aboutme.mpl?userid=wkopetzky><B>wkopetzky(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=wkopetzky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The part you are missing is all of the non-winning tickets. It should look like this.\r<BR>\n" );
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document.write( "                    X                   (px)\r<BR>\n" );
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document.write( "auto             19990              1/5000    .0002\r<BR>\n" );
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document.write( "entertainment<BR>\n" );
document.write( "center           2990               2/5000    .0004\r<BR>\n" );
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document.write( "DVD recorder     390                5/5000    .001\r<BR>\n" );
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document.write( "Gift Cert        10                 50/5000    .01\r<BR>\n" );
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document.write( "Non-winning<BR>\n" );
document.write( "ticket           -10                4943/5000  .9886\r<BR>\n" );
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document.write( "Remember the ticket cost $10 so on a non-winning ticket you are minus 10. There are 57 prizes so 4943 tickets sold will not win anything (5000-57 = 4943).\r<BR>\n" );
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document.write( "Finding the mean of X will give you the average winning of one ticket.\r<BR>\n" );
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document.write( "19990(.0002) + 2990(.0004) + 390(.001) + 10(.01) + (-10)(.9886)<BR>\n" );
document.write( "3.998+1.196+.39+.1+(-9.886)= -4.202<BR>\n" );
document.write( "So the average expected winning on one ticket is -$4.20<BR>\n" );
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