./ can you slove it please ?

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SolutionGivaf(x)=\left\{\begin{array}{ll}3 / 2 x^{2} & \text { if }-1 \leqslant x \leqslant 1 \\0 & \text { elsewhere }\end{array}\right.elsewherec d f=F(x)=\int_{-\infty}^{x} f(t) d tWe need to write the pdf in terme of t\begin{array}{l}F(x)=\int_{-1}^{x} 3 / 2 t^{2} d t \\f(x)=\left[\frac{3}{6} t^{3}\right]_{-1}^{x}=\left[\frac{t^{3}}{2}\right]_{-1}^{x} \\F(x)=\frac{x^{3}}{2}-\frac{(-1)^{3}}{2}=\frac{x^{3}}{2}+\frac{1}{2} \\\quad 0-1 \leqslant x \leqslant 1\end{array}Cdf of x isf_{x}(x)=\left\{\begin{array}{cl}\frac{x^{3}}{2}+\frac{1}{2} & \text { for } x<-1 \\1 & \text { for } x>1\end{array}\right. ...