The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated a boss. The manager's educational background was also noted. The data appear below. Given that a manager is only a fair manager, what is background? Educational Background Manager Rating H. S. Degree Some College College Degree Master's or Ph D. Totals Good Fair Poor Totals 1 24 12 39 14 49 19 87 3 4 8 19 34 10 19 81 50 160 23 O 40 O 87 1 O 2 O 32
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 managers of a corporation were surveyed to determine the background that leads to a successful manager . Each manager was rated as being either good,fair, or poor manager by his /her boss. The managers educational background was also noted . The data appear below . Given that a manager is only a fair manager , what's the probability that this manager has no college background ?
Solution:
Give table Educational Background
| Manager rating | H.S Degree | Some college | College Degree | Master or Ph.D | Row total |
| Good | 2 | 1 | 24 | 12 | 39 |
| Fair | 5 | 14 | 49 | 19 | 87 |
| Poor | 3 | 4 | 8 | 19 | 34 |
| Column Total | 10 | 19 | 81 | 50 | 160 |
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