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Assume X measures the number of successes in an interval [0,T] within some Poisson process. Then, with
\(\mu\)
as a needed parameter
\begin{equation*} f(x) = \frac{\mu^x e^{-\mu}}{x!} \end{equation*}
for
\(R = \{ 0, 1, 2, ... \}.\)
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