document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309161>Question 309161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you play a game where you flip a coin. If is heads, you lose $1.00. If it is a tail, a die is rolled. If it is an even number, you win $ 2.00. If it is an odd number, you lose $3.00. Find the expected value </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221085 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=221085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you play a game where you flip a coin. If is heads, you lose $1.00. If it is a tail, a die is rolled. If it is an even number, you win $ 2.00. If it is an odd number, you lose $3.00. Find the expected value<BR>\n" );
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document.write( "Random \"gain\" values: -1, 2, -3<BR>\n" );
document.write( "Corresponding probabilites: 1/2 , (1/2)(1/2)= 1/4 , (1/2)(1/2) = 1/4<BR>\n" );
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document.write( "E(X) = (1/2)(-2) + (1/4)(2) + (1/4)(-3)<BR>\n" );
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document.write( "= [-2 + 2 -3]/4 <BR>\n" );
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document.write( "= -3/4<BR>\n" );
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document.write( "= -$.75<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================== </SPAN>\n" );
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