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 background was given. What is the probability the manager has no college background given he is only a fair manager? # Analysis of Managerial Performance Based on Educational BackgroundA survey was conducted among the managers of a corporation to assess the impact of educational background on perceived managerial performance, categorized as good, fair, or poor, by their superiors. Here is the data collected:## Managerial Performance Ratings by Educational Background| Manager Rating | H. S. Degree | Some College | College Degree | Master’s or Ph.D. | Totals ||----------------|-------------|--------------|----------------|-------------------|--------|| Good | 6 | 9 | 21 | 3 | 39 || Fair | 7 | 12 | 46 | 22 | 87 || Poor | 1 | 3 | 5 | 25 | 34 || **Totals** | **14** | **24** | **72** | **50** | **160**|### Explanation- **H. S. Degree**: Managers with a high school degree had 6 rated as good, 7 as fair, and 1 as poor.- **Some College**: Managers with some college experience had 9 rated as good, 12 as fair, and 3 as poor.- **College Degree**: Managers holding a college degree had 21 rated as good, 46 as fair, and 5 as poor.- **Master’s or Ph.D.**: Managers with a Master’s degree or Ph.D. had 3 rated as good, 22 as fair, and 25 as poor.### Observations1. **Overall Performance**: The majority of managers were rated as fair, followed by good, and then poor.2. **Educational Impact**: College degree holders had the highest number of good ratings, while the Master’s or Ph.D. group had a higher number of poor ratings.3. **Total Participation**: A total of 160 managerial ratings were recorded across different educational backgrounds.This data may suggest that while higher education correlates with better performance ratings up to a certain level, it does not necessarily guarantee a good rating beyond college degree level. Further analysis could explore additional factors influencing managerial performance.

From the table, we see that 7 managers are without any college background and fair. And there are…

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 background was given. What is the probability the manager has no college background given he is only a fair manager?

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 background was given. What is the probability the manager has no college background given he is only a fair manager?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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