Let (S,F) be the corresponding measurable space. Consider the random variable X2 defined as by X₂ (w) = 2 if w EDS 1 if w ED\Ds 0 if w= miss Where D={(x,y) = R^2: x^2+y^2≤ 1} and Ds={(x,y)=R^2:x^2 +y^2≤ 1/4}. Describe the o-algebra generated by X, i.e., what is σ(X)?

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