A survey of 100 college students regarding the ownership of laptops and tablets revealed the following information: 76 owned a laptop, 52 owned a tablet, and 40 owned both a laptop and a tablet. How many students in the survey own the following? (a) a laptop or a tablet (b) a laptop only (c) a tablet only students students students (d) neither a laptop nor a tablet students ANOTHEK

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Survey Analysis on Laptop and Tablet Ownership Among College Students**

A survey of 100 college students regarding the ownership of laptops and tablets revealed the following information:

- 76 students owned a laptop.
- 52 students owned a tablet.
- 40 students owned both a laptop and a tablet.

The questions for further analysis include:

(a) How many students own either a laptop or a tablet?
- **____** students

(b) How many students own only a laptop?
- **____** students

(c) How many students own only a tablet?
- **____** students

(d) How many students neither own a laptop nor a tablet?
- **____** students

**Guidance and Support:**
For further assistance in solving these questions, you can click on the "Read It" button at the bottom.

This exercise allows students to apply set theory concepts, specifically the principle of inclusion-exclusion, to determine the various ownership categories among the survey participants.

**Graph Explanation:**

The above text is presented solely in textual form and does not include any graphs or diagrams. 

For visual learners, consider drawing a Venn diagram with two intersecting circles:
- One circle represents students who own laptops.
- The other circle represents students who own tablets.
- The intersection, where the circles overlap, represents students who own both a laptop and a tablet.

This visual aid can help learners better understand the relationships between the sets and solve for the required values.
Transcribed Image Text:**Survey Analysis on Laptop and Tablet Ownership Among College Students** A survey of 100 college students regarding the ownership of laptops and tablets revealed the following information: - 76 students owned a laptop. - 52 students owned a tablet. - 40 students owned both a laptop and a tablet. The questions for further analysis include: (a) How many students own either a laptop or a tablet? - **____** students (b) How many students own only a laptop? - **____** students (c) How many students own only a tablet? - **____** students (d) How many students neither own a laptop nor a tablet? - **____** students **Guidance and Support:** For further assistance in solving these questions, you can click on the "Read It" button at the bottom. This exercise allows students to apply set theory concepts, specifically the principle of inclusion-exclusion, to determine the various ownership categories among the survey participants. **Graph Explanation:** The above text is presented solely in textual form and does not include any graphs or diagrams. For visual learners, consider drawing a Venn diagram with two intersecting circles: - One circle represents students who own laptops. - The other circle represents students who own tablets. - The intersection, where the circles overlap, represents students who own both a laptop and a tablet. This visual aid can help learners better understand the relationships between the sets and solve for the required values.
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