For practice only
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
For practice only
From the provided information,
The assets (in billions of dollars) of the four wealthiest people in a particular country are 43, 35, 22, 11. Assume that samples of size n=2 are randomly selected with replacement from this population of four values.
After identifying the 16 different possible samples and finding the mean of each sample, the table for sampling distribution of sample can be constructed as:
|
SAMPLE |
Average |
|
43,43 |
43 |
|
43,35 |
39 |
|
43,22 |
32.5 |
|
43,11 |
27 |
|
35,43 |
39 |
|
35,35 |
35 |
|
35,22 |
28.5 |
|
35,11 |
23 |
|
22,43 |
32.5 |
|
22,35 |
28.5 |
|
22,22 |
22 |
|
22,11 |
16.5 |
|
11,43 |
27 |
|
11,35 |
23 |
|
11,22 |
16.5 |
|
11,11 |
11 |
The probability distribution table can be constructed as:
|
SAMPLE MEAN |
Frequency |
Probability |
|
43 |
1 |
0.0625 |
|
39 |
2 |
0.125 |
|
35 |
1 |
0.0625 |
|
32.5 |
2 |
0.125 |
|
28.5 |
2 |
0.125 |
|
27 |
2 |
0.125 |
|
23 |
2 |
0.125 |
|
22 |
1 |
0.0625 |
|
16.5 |
2 |
0.125 |
|
11 |
1 |
0.0625 |
|
16 |
1 |
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