Question
The p.d.f. of a continuous r.v. $X$ is
$
f(x)=\left\{\begin{array}{cl}
\frac{3 x^2}{8} & \text { for } 0<x<2 \\
0 & \text { otherwise }
\end{array}\right.
$
$
f(x)=\left\{\begin{array}{cl}
\frac{3 x^2}{8} & \text { for } 0<x<2 \\
0 & \text { otherwise }
\end{array}\right.
$
Determine the c.d.f. of $X$ and hence find (i) $P (X<1)$, (ii) $P (X<-2)$, (iii) $P (X>$ 0), (iv) $P (1< X <2)$.