document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200317>Question 1200317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose X has a Binomial distribution with n trials, and a probability of success p. The moment generating function for X has been shown to be<BR>\n" );
document.write( "MX (t) = (pe^t + (1 − p))^n.<BR>\n" );
document.write( "Using this result, find the distribution of the random variable Y for the following moment generating function.<BR>\n" );
document.write( "MY (t) = (2+e^t)^5/3^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834441 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=834441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Hint:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Be%5Et%29%5E5%29%2F%283%5E5%29+=+%282%2F3%2Bexpr%281%2F3%29e%5Et%29%5E5 ALIGN=MIDDLE  ALT=\"%28%282%2Be%5Et%29%5E5%29%2F%283%5E5%29+=+%282%2F3%2Bexpr%281%2F3%29e%5Et%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let the student finish up.\r<BR>\n" );
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document.write( "Side note: You should use parenthesis to indicate (2+e^t)^5 is over top 3^5<BR>\n" );
document.write( "So you should write ((2+e^t)^5)/(3^5)<BR>\n" );
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