The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below. Given that a manager is only a fair manager, what is the probability that this manager has a college degree? Educational Background TTTTI Manager Rating H. S. Degree Some College College Degree Master's or Ph D. Totals Good 22 39 Fair Poor Totals 9 15 44 19 87 4 19 34 16 28 72 44 160 11 40 O 24 29 9 O 44 87

The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below. Given that a manager is only a fair manager, what is the probability that this manager has a college degree? Educational Background TTTTI Manager Rating H. S. Degree Some College College Degree Master's or Ph D. Totals Good 22 39 Fair Poor Totals 9 15 44 19 87 4 19 34 16 28 72 44 160 11 40 O 24 29 9 O 44 87

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MATLAB: An Introduction with Applications

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Concept explainers

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.

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Question

The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good,
fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below. Given that a manager is only a fair
manager, what is the probability that this manager has a college degree?
Educational Background
TTTTI
Manager
Rating H. S. Degree Some College College Deg ree Master's or Ph D. Totals
Good
3
22
6.
39
Fair
9.
15
44
19
S7
Poor
Totals
4
6
19
34
16
28
72
44
160
11
40
24
29
20
87

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