Let's have a random variable $\mathcal{X}$ whose pmf is the Poisson distribution $$ f(k;\lambda)=\frac{\lambda^ke^{-\lambda}}{k!} $$
I was wondering on how to determine the pmf of a variable defined as $\mathcal{Y}=1/\mathcal{X}$.
Let's have a random variable $\mathcal{X}$ whose pmf is the Poisson distribution $$ f(k;\lambda)=\frac{\lambda^ke^{-\lambda}}{k!} $$
I was wondering on how to determine the pmf of a variable defined as $\mathcal{Y}=1/\mathcal{X}$.
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