document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042953>Question 1042953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a random variable X whose moments are defined by E[Xn]=n!. Then, M(t)=<BR>\n" );
document.write( "a) 1/(1-t) <BR>\n" );
document.write( "b) t/(1-t) <BR>\n" );
document.write( "c) t/(1-t!) <BR>\n" );
document.write( "d) None of these \r<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 #658093 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The moment generating function for X (M(t)) is defined for this problem as<BR>\n" );
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document.write( "M(t) = summation from 0 to infinity of (E(x^n) / n!) * t^n<BR>\n" );
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document.write( "M(t) = summation from 0 to infinity of (n! / n!) * t^n<BR>\n" );
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document.write( "M(t) = summation from 0 to infinity of t^n<BR>\n" );
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document.write( "therefore<BR>\n" );
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document.write( "answer is a)<BR>\n" );
document.write( "M(t) = 1 / (1 - t)<BR>\n" );
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document.write( ":\r<BR>\n" );
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