# Statistics Examples

Describe the Distribution's Two Properties
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. .
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
is between and inclusive, which meets the first property of the probability distribution.
is between and inclusive
For each , the probability falls between and inclusive, which meets the first property of the probability distribution.
for all x values
Find the sum of the probabilities for all the possible values.
The sum of the probabilities for all the possible values is .