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(1) If \( X \) is a continuous random variable with density functions \[ f(x)=\left\{\begin{array}{ll} \frac{a x^{2}}{8} & 0 \leq x

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(1) If \( X \) is a continuous random variable with density functions \[ f(x)=\left\{\begin{array}{ll} \frac{a x^{2}}{8} & 0 \leq x<4 \\ 0 & \text { elsewhere } \end{array}\right. \] Find (i) a (ii) \( P (1< x <2) \) (iii) \( P (-1< x <3) \)
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