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## Homework Statement

Show that the Poisson probabilities [itex] p_{0}p_{1},... [/itex]can be estimated recursively by [itex] p_{0} = e^{-\lambda} [/itex] and

[itex]

p_{k}=(\lambda/k)*p_{k-1} [/itex] k=1,2,...

## Homework Equations

I know the Poisson distribution [itex] f(x, \lambda) = e^{-\lambda}\lambda^{x}/x! [/itex]

But I haven't the faintest idea what is even being asked for here. It was never covered in class, our book, or any of the books I've looked through.

-Dave K