Given the probability density function (p.d.f.) of a continuous r… - Vidyadip

Question

Given the probability density function (p.d.f.) of a continuous random variable $x$ as:
$\begin{aligned}
f(x) & =\frac{x^2}{3}, & -1<x<2 \\
& =0, & \text { otherwise }
\end{aligned}$
Determine the cumulative distribution function (c.d.f.) of $X$ and hence find
$P ( X <1), P ( X >0), P (1< X <2) \text {. }$

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