Cumulative Density Function

A Cumulative Density Function is just the Integral of a Probability Density Function from its lower bound, to a certain point.

$$F(x)={\int }_{-\infty }^{b}f(x)dx$$

• $F(x)\in [0,1]$
• $x\le y⟹F(x)\le F(y)$
• $F(-\infty )=0,F(\infty )=1$