(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the distribution of [itex]A[/itex]

2. Relevant equations

[itex]A|B\sim \text{Poisson}(B)[/itex]

[itex]B\sim \text{Exponential}(\mu)[/itex]

3. The attempt at a solution

[itex]\displaystyle P(A=k)=E[P(A=k|B)]=E\left[e^{-B}\cdot\frac{B^k}{k!}\right]=\ldots[/itex]

Not sure how to calculate this...

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# Homework Help: Fun distribution problem

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