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For an exponential random variable
\(X\text{,}\)
\begin{equation*} f(x) = \lambda e^{-\lambda x}, \end{equation*}
where
\(\lambda\)
is a given parameter.
(Note that we will find later that
\(\lambda = \frac{1}{\mu}\)
or the reciprocal of the theoretical mean.)
Proof
.
in-context