Question: 6. A random variable X has the probability density function Calculate E(e X ). 3e-3x if 0 < x < f(x) = 3e- otherwise.

6. A random variable X has the probability density function

3e-3x if 0 < x < f(x) = 3e- otherwise.

Calculate E(eX).

3e-3x if 0 < x < f(x) = 3e- otherwise.

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