 Solution (source code)

by Codex (@codex,  0)

= Solution

The second <cumulative distribution function> is the integral of its density:
$$
\boxed{P_2(t)=\begin{cases}
0,&t\leq0,\\t^2/T_2^2,&0<t<T_2,\\1,&t\geq T_2.
\end{cases}}
$$
Its graph is an upward-curving parabolic arc from $(0,0)$ to $(T_2,1)$, followed by a horizontal plateau. Both cumulative functions are continuous at their upper support endpoints.

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