(Solved):
Let random variable \( \mathrm{X} \) have the following density; \[ f(x ; \th ...
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Let random variable \( \mathrm{X} \) have the following density; \[ f(x ; \theta)=\theta e^{-\theta e^{x}} e^{x}, \theta>0 \quad \text { and } \quad-\infty