## 1.3 Random Variables

#### Random Variable

- A random variable is a function that assigns a number to each outcome in the sample space ε.

- A random variable can be random or discrete.

- A discrete random variable is one that can take only a countable number of values. Note that the numbers does not have any strict pattern (e.g. the numbers can only be whole numbers, rational numbers, the numbers need be an arithmetic or geometric series etc.). Some example would be the number of children in a family, shoe sizes and so on.

- A continuous random variable is one that can take any value in an interval of the real number line. Some examples are height, weight, area and so on.