Mean and Variance of Continuous RV

Probability Level 2

Suppose a continuous random variable XX is given by the PDF:

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

If the mean of XX is AA and the variance of XX is BB, what is A+BA+B?

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