4. Using the table below, describe the set U N E' in words, and find the number of elements it contains. New Authors Established Authors Total Successful 25 30 Unsuccessful 15 55 70 Total 20 80 100

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...
icon
Related questions
Question
**Problem 4: Using the provided data, describe the set \( U \cap E' \) in words, and calculate the number of elements it contains.**

The table displays data on the success of new and established authors:

|                      | New Authors | Established Authors | Total |
|----------------------|-------------|---------------------|-------|
| **Successful**       | 5           | 25                  | 30    |
| **Unsuccessful**     | 15          | 55                  | 70    |
| **Total**            | 20          | 80                  | 100   |

**Explanation:**

- **Rows:** 
  - The first row indicates the number of successful authors, with new authors having 5 and established authors 25, totaling 30 successful authors.
  - The second row indicates the number of unsuccessful authors, showing that new authors are 15 and established authors 55, making a total of 70 unsuccessful authors.
  
- **Columns:** 
  - The first column shows details for new authors, with a total of 20.
  - The second column is for established authors, totaling 80.
  - The last column provides the total for each category, adding up to 100 authors in total.

**Set \( U \cap E' \)** refers to the intersection of unsuccessful authors (U) and new authors (E'). This is represented by the category "Unsuccessful New Authors" in the table, which is 15.

Therefore, the set \( U \cap E' \) contains 15 elements.
Transcribed Image Text:**Problem 4: Using the provided data, describe the set \( U \cap E' \) in words, and calculate the number of elements it contains.** The table displays data on the success of new and established authors: | | New Authors | Established Authors | Total | |----------------------|-------------|---------------------|-------| | **Successful** | 5 | 25 | 30 | | **Unsuccessful** | 15 | 55 | 70 | | **Total** | 20 | 80 | 100 | **Explanation:** - **Rows:** - The first row indicates the number of successful authors, with new authors having 5 and established authors 25, totaling 30 successful authors. - The second row indicates the number of unsuccessful authors, showing that new authors are 15 and established authors 55, making a total of 70 unsuccessful authors. - **Columns:** - The first column shows details for new authors, with a total of 20. - The second column is for established authors, totaling 80. - The last column provides the total for each category, adding up to 100 authors in total. **Set \( U \cap E' \)** refers to the intersection of unsuccessful authors (U) and new authors (E'). This is represented by the category "Unsuccessful New Authors" in the table, which is 15. Therefore, the set \( U \cap E' \) contains 15 elements.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sets
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON