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...

See similar textbooks

Similar questions

JP got a bag full of colorful marbles. There were 35 of them: 8 orange, 6green, 4 blue, 5 red, and 12 yellow. After shaking the bag, she randomlyselected two marbles from the box. What’s the probability that the firstone was yellow and the second one was red?
At a peace summit, seven Hatfield and nine McCoy family members sit down for a meeting. If the Sheriff orders two randomly selected participants to shake hands at the end of the meeting, what is the probability that the two are from different families? NOTE: Along with the probability, explain the calculation used to find your answer.
Out of a deck of cards, what is the probability of not getting a 7?
In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly one pair?
Approximately 90% of all people are right handed. Consider a grouping of 20 people. What is the probability that 5 of them will be right handed
A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What is the probability of selecting a white marble from a jar of marbles?
An AP stats class has 25 Senior and 5 Juniors. There are 22 total students in National Honor Society (20 Seniors and Juniors). Create a two-way table and a Venn Diagram that represents this situation. Then find the probability of choosing a student that is a senior or National Honor Society member.
A small tool‑and‑die shop manufactures kneuter valves. A shipment of 15 valves to a Swedish automobile assembly plant contains three defective valves. Suppose the assembly plant randomly selects four valves from the shipment. What is the probability that the plant will select all three defective valves?
A general manager is forming a committee of 6 people out of 10 total employees to review the company's hiring process. What is the probability that two specific employees will be chosen for the 6 person committee? Fill in the blanks for the answer below.
When drawing a single card from the deck, what is the probability of getting a face card or a diamond?
In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what is the probability that they are both Democrat
Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No