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Competitive Stats
Q36Section I (Objective (Q1–Q80))36 of 80

Probability — continuity requirement for a piecewise c.d.f. with a density

The function

F(x)={0,x<0 x3,0≤x<2 (1−α)x+3α−2,2≤x<3 1,x≥3F(x) = \begin{cases} 0, & x<0 \ \dfrac{x}{3}, & 0 \le x < 2 \ (1-\alpha)x + 3\alpha - 2, & 2 \le x < 3 \ 1, & x \ge 3 \end{cases}

is the distribution function of a continuous random variable

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