(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

(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
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