Question

3. The function F(x)=\left\{\begin{array}{ll} 0 & \text { for } x<0 \\ \frac{1}{4} \cdot x+\frac{1}{6} & \text { for } 0 \leq x<2 \\ 1 & \text { for } x>2 \end{array}\right. is the cumulative distribution function of a mixed random variable X. [4] (i) Determine the value(s) of the argument x for which P{X = x} > 0. [2] (ii) What are the corresponding positive value(s) of P{X = x}?

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