# Finite Math Examples

Describe the Distribution's Two Properties
Step 1
A discrete random variable takes a set of separate values (such as , , ...). Its probability distribution assigns a probability to each possible value . For each , the probability falls between and inclusive and the sum of the probabilities for all the possible values equals to .
1. For each , .
2. .
Step 2
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 3
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 4
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 5
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 6
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 7
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 8
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
Step 9
For each , the probability falls between and inclusive, which meets the first property of the probability distribution.
for all x values
Step 10
Find the sum of the probabilities for all the possible values.
Step 11
The sum of the probabilities for all the possible values is .
Step 11.1
Step 11.2
Step 11.3