$$F(t)=Pr(T\le t), \quad t\in (0,\infty)$$
$$F(t) \ge 0, \forall t \in \mathbb{R}^{+}$$
$$\begin{aligned}F(0)&=0\\\\ \displaystyle \lim_{t \to \infty} F(t)&=1\end{aligned}$$
Alternate names for the CDF
The distribution function
The probability function
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