A continuous random variable (X) has the probability density [f(x)=left{begin{array}{l} 1 / 4 text { for }

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A continuous random variable \(X\) has the probability density

\[f(x)=\left\{\begin{array}{l} 1 / 4 \text { for } 0 \leq x \leq 2 \\ 1 / 2 \text { for } 2

Determine \(\sqrt{\operatorname{Var}(X)}\) and \(E(|X-E(X)|)\).

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