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Competitive Stats
Q5Section I (Objective (Q1–Q80))5 of 80

Probability — symmetry of an integral involving the normal density

Let fX(x)f_X(x) be p.d.f. of N(0,1)N(0,1) variates. What is ∫−1010∫−yyfX(x) dx dy\displaystyle\int_{-10}^{10}\int_{-y}^{y}f_X(x)\,dx\,dy equal to?

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