Answer:
Part a.
x P(x)
1 0.1773
2 0.4460
3 0.2465
4 0.1302
Part b.
Because it is created from a sample data
Explanation:
Part a.
To determined the probability distribution, we will calculate the ratio of the frequency for each number of television sets to the total numbers of records. So:
If x = 1 Then 64/361 =0.1773
If x = 2 then 161/361 = 0.4460
If x = 3 then 89/361 = 0.2465
If x = 4 then 47/361 = 0.1302
Therefore, the approximation of the probability distribution is:
x P(x)
1 0.1773
2 0.4460
3 0.2465
4 0.1302
Part b.
This is regarded as an approximation because it is based on the data of a sample. 361 residences in a city are not all the residences. To have the true probability distribution, we will need to find the data for all residences in the city.
Part c.
Finally, we can plot a probability histogram as follows:
