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Competitive Stats
Q39Section I (Objective (Q1–Q80))39 of 80

Distribution Theory — E(|X|) and Var(|X|) for a symmetric density

The random variable X has p.d.f. f(x)=3x22f(x)=\frac{3x^2}{2}, −1<x<1-1<x<1; 0 otherwise. What are the values of E(∣X∣)E(|X|) and var(∣X∣)\mathrm{var}(|X|) respectively?

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