If we have a Bernoulli random variable $W$ that is derived from a Variable $T$ (Poisson $\lambda$), by the following rules $W =$ (if $T=0$ then $W=1$ and if $T>0$ then $W=0$), I am having trouble finding the pf for $W$. Any ideas?
2026-04-01 10:39:03.1775039943
Probability function (p.f) of a random variable
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Hint: We have $\Pr(W=1)=\Pr(T=0)=e^{-\lambda}$.