2. The pdf of a random variable is in the form
\begin{equation*}
f(x) = \begin{cases}
\frac{x + c}{18} & -2 < x < 4 \\
0 & \text{otherwise}
\end{cases}
\end{equation*}
1) Determine the value of c.
2) Find
(a) $P(|X| < 1)$,
(b) $P(X^2 < 9)$, and
(c) $P(X = 1)$
