document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216723>Question 216723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in algebra in functions and notation.Solve G(x) for the given domain. G(x)=3x exponent 2-2x-1.\r<BR>\n" );
document.write( "\n" );
document.write( "G(a+b)=\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Please help me with this algebra and explain to me how to find the answers.Thank you for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163613 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=163613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John tosses a coin three times in succession. He wins $1 for head on the first toss, $2 for head on the second toss and $3 for head on the third toss. For each tail he losses $1.5. Let X be the random variable of John's winning. Find distinct values of X and their probability distributions <BR>\n" );
document.write( "I started to do this problem but I am not sure that I am using the correct formula. Could you please show me how to get the solution.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Results are <BR>\n" );
document.write( "hhh----$6-----1/8--------------6*1/8 = 12/16<BR>\n" );
document.write( "hht----$1.5 1/8----------1.5*(1/8) = 3/16<BR>\n" );
document.write( "hth----$2.5---1/8----------2.5*(1/8) = 5/16<BR>\n" );
document.write( "thh----$3.5---1/8----------3.5*(1/8) = 7/16<BR>\n" );
document.write( "tth----$ 0 ---1/8------------0*(1/8) = 0/16<BR>\n" );
document.write( "tht----$ -1---1/8---------- -1*(1/8) = -1/8<BR>\n" );
document.write( "htt----$ -2---1/8---------- -2*(1/8) = -4/16<BR>\n" );
document.write( "ttt----$-4.5--1/8-------- -4.5*(1/8) = -9/16<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "Expected Value = $13/16 = 81.25 cents<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );