Question: A continuous random variable (X) has the probability density [f(x)=2 x, 0 leq x leq 1] (1) Draw the corresponding distribution function. (2) Determine and

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

\[f(x)=2 x, 0 \leq x \leq 1\]

(1) Draw the corresponding distribution function.

(2) Determine and compare the measures of variability

\[E(|X-E(X)|) \text { and } \sqrt{\operatorname{Var}(X)}\]

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