document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186867>Question 1186867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are offered the following \"deal.\" You roll a six sided die. If you roll a 6, you win $12. If you roll a 4 or 5, you win $3. Otherwise, you pay $2.\r<BR>\n" );
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document.write( "a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. \r<BR>\n" );
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document.write( "   Probability Distribution Table<BR>\n" );
document.write( "     (X)    (P(X))\r<BR>\n" );
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document.write( "b. Find the expected profit. $<BR>\n" );
document.write( " (Round to the nearest cent)<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 #817836 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52775)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Suppose that you are offered the following \"deal.\" You roll a six sided die. <BR>\n" );
document.write( "If you roll a 6, you win $12. If you roll a 4 or 5, you win $3. Otherwise, you pay $2.<BR>\n" );
document.write( "a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. <BR>\n" );
document.write( "Round to 4 decimal places where appropriate.<BR>\n" );
document.write( "Probability Distribution Table<BR>\n" );
document.write( "(X) (P(X))\r<BR>\n" );
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document.write( "b. Find the expected profit. $<BR>\n" );
document.write( "(Round to the nearest cent)<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "With the probability  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the die shows any of 6 numbers 1, 2, 3, 4, 5, 6  on the upper face.\r\n" );
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document.write( "Therefore, the expected profit is\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A%281%2F6%29+%2B+3%2A%281%2F6%29+%2B+3%2A%281%2F6%29+-+2%2A%283%2F6%29 ALIGN=MIDDLE  ALT=\"12%2A%281%2F6%29+%2B+3%2A%281%2F6%29+%2B+3%2A%281%2F6%29+-+2%2A%283%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+1%2F2+%2B+1%2F2+-+1 ALIGN=MIDDLE  ALT=\"2+%2B+1%2F2+%2B+1%2F2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 dollars.\r\n" );
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document.write( "Playing many times this game, you will have a profit of 2 dollars per game, in average.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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