Question: Let X Unif(0, 1). Find E[e X ] two ways: (a) By finding the density of e X and then computing the expectation with

Let X ∼ Unif(0, 1). Find E[e^X] two ways:
(a) By finding the density of e^X and then computing the expectation with respect to that distribution.
(b) By using the law of the unconscious statistician.

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