document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769798>Question 769798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Larry made up a dice game. The rules state that if the roll, n is a prime number (2,3,5), then Larry will pay the player <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En ALIGN=MIDDLE  ALT=\"2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where as if the roll is not a prime number (1,4,6), the player pays Larry <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Determine the probability distribution and determine the expectation of winning for this game. Please show all the work to get to the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469025 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=469025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Larry made up a dice game. The rules state that if the roll, n is a prime number (2,3,5), then Larry will pay the player <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En ALIGN=MIDDLE  ALT=\"2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where as if the roll is not a prime number (1,4,6), the player pays Larry <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Determine the probability distribution and determine the expectation of winning for this \r<BR>\n" );
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document.write( "Here is the work\r<BR>\n" );
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document.write( "Let W = winning \r<BR>\n" );
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document.write( "If n = 1  then the player pays larry 1  ( W = -1)<BR>\n" );
document.write( "If n = 4  then the player pays larry 16  ( W = -16)<BR>\n" );
document.write( "If n = 6  then the player pays larry 36  ( W = -36)\r<BR>\n" );
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document.write( "If n = 2  then  larry pays to the player  4  ( W = 4)<BR>\n" );
document.write( "If n = 3  then  larry pays to the player  8  ( W = 8)<BR>\n" );
document.write( "If n = 5  then  larry pays to the player  32  ( W = 32)\r<BR>\n" );
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document.write( "Then the distribution of W is:\r<BR>\n" );
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document.write( "P(W = -1)=P(W=-16)=P(W=-36)=P(W=4)=P(W=8)=P(W=32)\r<BR>\n" );
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document.write( "EXpected  value of W is:  (-1-16-36+4+8+32)/6 = -9/6 = -1.5\r<BR>\n" );
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document.write( "You can ask me more at: mthman@gmail.com\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
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document.write( " </SPAN>\n" );
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