The table below shows the grade distribution for a section in 6 classes. Determine if each of the distributions 1-6 are valid probability distributions or not and explain your reasoning. Distribution A B C D E 1 0.3 0.3 0.3 0.2 0.1 2 0 0 1 0 0 3 0.3 0.3 0.3 0 0 4 0.3 0.5 0.2 0.1 -0.1 5 0.2 0.4 0.2 0.1 0.1 6 0 -0.1 1.1 0 0
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.
The table below shows the grade distribution for a section in 6 classes. Determine if each of the distributions 1-6 are valid
|
Distribution |
A |
B |
C |
D |
E |
|
1 |
0.3 |
0.3 |
0.3 |
0.2 |
0.1 |
|
2 |
0 |
0 |
1 |
0 |
0 |
|
3 |
0.3 |
0.3 |
0.3 |
0 |
0 |
|
4 |
0.3 |
0.5 |
0.2 |
0.1 |
-0.1 |
|
5 |
0.2 |
0.4 |
0.2 |
0.1 |
0.1 |
|
6 |
0 |
-0.1 |
1.1 |
0 |
0 |
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