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## Main Question or Discussion Point

Assume we have [itex]X\sim\exp(\mu,\sigma^2)[/itex].

How does one compute [itex]\mathbb{E}\left(Xe^X\right)[/itex] and/or what is the outcome value?

How does one compute [itex]\mathbb{E}\left(Xe^X\right)[/itex] and/or what is the outcome value?