# Mean and Variance of Continuous RV

Suppose a continuous random variable $X$ is given by the PDF:

$f(x) = \begin{cases} 2x \quad & x \in [0,1] \\ 0 \quad & \text{otherwise.} \end{cases}$

If the mean of $X$ is $A$ and the variance of $X$ is $B$, what is $A+B$?

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