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mgf correction - E(e^tx) instead of E(E^tx)

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commit d3522d3523c241be164eca461172d4f3d58071be 1 parent 9f3a9ac
@ryanordille authored
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  1. BIN  newstudysheet.pdf
  2. +1 −1  newstudysheet.tex
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2  newstudysheet.tex
@@ -198,7 +198,7 @@ \subsubsection{For $X \sim N(\mu, \sigma^2)$:}
\section{Moment generating functions and transformations}
\subsection{Moment generating function m.g.f.}
\[
- M_X (t) = E(E^{tx}) = \int_{-\infty}^{\infty} e^{tx} \; f_X (x) \; dx = \sum_x e^{tx} \; P(X = x)
+ M_X (t) = E(e^{tx}) = \int_{-\infty}^{\infty} e^{tx} \; f_X (x) \; dx = \sum_x e^{tx} \; P(X = x)
\]
$E(X^k) = M_X^{(k)} (0)$
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