# Random Variable Distribution Discrete Random Variable and Continuous Random Variable

A distribution which gives the probabilities of the values of a random variable function is called random variable distribution. If x1, x2,….,xn are random values of X and P1, P2,….,Pn are their corresponding probabilities, then the random variable distribution of X can be written as follow:

 X = xi P(x=xi) x1x2 . . . xn P1 P2 . . . Pn

### Discrete Random Variable

A random variable which is defined on a countable sample space is called discrete random variable.

### Continuous Random Variable

A random variable which is defined on a uncountable sample space is called continuous random variable