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Q56Section C (Section C)56 of 60

Integral of the distribution function of a symmetric variable

The probability density function f(x)f(x) of a random variable XX is symmetric about 00. Then ∫−22∫−∞xf(u) du dx=\int_{-2}^2\int_{-\infty}^xf(u)\,du\,dx= ___________.

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