The expected value of a random variable is the long-term average or mean value of the random variable. It is denoted as $E[X]$ or $\mu_X$ for $X$ and $E[Y]$ or $\mu_Y$ for $Y$.
From the explanation, we have:
\[
E[X] = \mu_X = \int_{30}^{50} x \cdot g(x) \, dx =
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