A random variable is a variable that can take on different values based on the outcome of a random event. There are two main types of random variables: categorical (discrete) random variables which can only take on specific values, and numerical (continuous) random variables which can take on an infinite number of values within a given range. Discrete random variables examples include the number of heads in a coin flip, while continuous random variables examples include the height of a person.

1. RANDOM
VARIABLES
Statistics and Probability

2. Introduction
A random variable is a
variable that can take on
different values based on the
outcome of a random event.

3. Types of
Random
Variables
Categorical (Discrete)
Categorical (Discrete)
Categorical (Discrete)
Numerical (Continuous)
Numerical (Continuous)
Numerical (Continuous)

4. Discrete
Random
Variables
A discrete random variable can only
A discrete random variable can only
A discrete random variable can only
take on specific values, such as the
take on specific values, such as the
take on specific values, such as the
number of heads in a coin flip.
number of heads in a coin flip.
number of heads in a coin flip.
Example: Number of heads in 5 coin
Example: Number of heads in 5 coin
Example: Number of heads in 5 coin
flips
flips
flips

5. Continuous
Random
Variables
A continuous random variable can
A continuous random variable can
A continuous random variable can
take on an infinite number of values in
take on an infinite number of values in
take on an infinite number of values in
a given range, such as the height of a
a given range, such as the height of a
a given range, such as the height of a
person.
person.
person.
Example: Height of a person in inches
Example: Height of a person in inches
Example: Height of a person in inches

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