Cumulative Distribution Function

Definition

c.d.f. F(x) = P(X $\ge$ x)

Related Topics

pmf vs cdf Probability Mass Function

Why study the cdf? sometimes continuous functions F exists and f does not.

Properties

1. F(X) $\ge$ 0, non-decreasing
2. $li{m}_{xgoestoinfinity}$ F(X) = 0, $li{m}_x->infinity$ F(x) = 1
3. F is a step function in the discrete case