- Scenario:
- Selecting a household in a certain region at random
 
- Let X = number of individuals in the selected household
 
 
- Given probability mass function (pmf) of X:
- To be provided or determined
 
 
| X | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 
|---|
| p(X) | .140 | .175 | .220 | .260 | .155 | .025 | .015 | .005 | .004 | .001 | 
 
- Consists of 1 million households
- Each household has its own X value
 
- Proportion with each X value is given by p(x)
 
 
- Alternative Viewpoint:
- Forget about households
 
- Consider the population as consisting of X values
- 14% of values are 1
 
- 17.5% are 2
 
- And so on…
 
 
 
- PMF Description:
- Describes the distribution of possible population values 1,2,…,10