A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease.
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.
A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected).
They found the following frequency table:
Newly infected mice
|
Newly infected mice |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| Frequency | 1 | 2 | 2 | 6 | 5 | 4 | 2 | 1 |
Determine the expected
Given,
Random experiment was run 23 times with groups of 24 mice.
| Newly infected mice | frequency |
| 4 | 1 |
| 5 | 2 |
| 6 | 2 |
| 7 | 6 |
| 8 | 5 |
| 9 | 4 |
| 10 | 2 |
| 11 | 1 |
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