Solution
= Solution
The <probability density function> graph joins $(-1,0)$ to $(0,1)$ to $(1,0)$ and is zero elsewhere, as shown in the right panel of the timing figure. Its <area> is
$$
\int_{-\infty}^\infty q(t)\,dt
=2\int_0^1(1-t)\,dt=\boxed{1}.
$$
Thus the <probability distribution> is normalized.