# What is a random variable? What is an example of a discrete random variable and a continuous random variable?

##### 1 Answer

Jan 19, 2017

Please see below.

#### Explanation:

A random variable is numerical outcomes of a set of possible values from a random experiment.

For example, we randomly select a shoe from a shoe store and seek two numerical values of its size and its price.

A **discrete random variable** has a finite number of possible

values or an infinite sequence of countable real numbers. For example size of shoes, which can take only finite number of possible

values.

While a **continuous random variable** can take all values in an interval of real numbers. For example, the price of shoes can take any value, in terms of the currency.