(c) Now fix k = 3/4, so that x < 0, 0 < x < 1, + ¼½(x − 1)² 1≤ x < 2, x ≥ 2, and denote by X the random variable with distribution function Fx (x). (i) Explain why the random variable X does not have a density func- tion. (ii) Determine the value of Pr(0 ≤ X < 1). Fx(x) 0 x/2 = 834 1

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