Distribution Function

If X is a discrete random variable whose values are sorted from lowest to highest, the distribution function of the variable X is:

F(x) = p(X ≤ x)

The distribution function associates the cumulative probability to each value of the random variable.

The distribution function is also commonly referred to as the cumulative distribution function.

Example

Calculate the probability distribution function for the probable scores that can be obtained by throwing a die.

x p i
x <1 0
1≤ x < 2 p
2≤ x < 3 p
3≤ x < 4 p
4≤ x < 5 p
5≤ x < 6 p
6≤ x 1

Representation

Distribution Function