Computing expected value

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What is the expected value of the random variable with the following probability density function?

f(x)={0,x(,0)(1,+),3x2,x[0,1].f(x) = \begin{cases}0, \quad & x\in(-\infty, 0)\cup(1,+\infty),\\ 3x^2, \quad &x\in[0, 1].\end{cases}Give the answer with the accuracy of two decimal places.

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