If 44.87% of people on earth have a smartphone, 25.41% have a tablet, and 9% own both a smartphone and a tablet, what percentage of people on earth own a smartphone or a tablet? 11.40% 61.28% 70.28% 79.28%
If 44.87% of people on earth have a smartphone, 25.41% have a tablet, and 9% own both a smartphone and a tablet, what percentage of people on earth own a smartphone or a tablet? 11.40% 61.28% 70.28% 79.28%
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Percentage of People Owning Smartphones or Tablets
According to recent data:
- 44.87% of people on earth have a smartphone.
- 25.41% have a tablet.
- 9% own both a smartphone and a tablet.
Given these statistics, the question posed is: What percentage of people on earth own either a smartphone or a tablet?
**Answer Choices**:
1. 11.40%
2. 61.28%
3. 70.28%
4. 79.28%
To calculate this, we use the principle of inclusion and exclusion in set theory to find the total percentage of people who own a smartphone or a tablet.
Using the formula:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
Where:
- \( P(A) \) is the probability of owning a smartphone = 44.87%
- \( P(B) \) is the probability of owning a tablet = 25.41%
- \( P(A \cap B) \) is the probability of owning both a smartphone and a tablet = 9%
\[
P(A \cup B) = 44.87\% + 25.41\% - 9\% = 61.28\%
\]
Therefore, the percentage of people who own either a smartphone or a tablet is: **61.28%**
Choose the correct option:
1. 11.40%
2. **61.28%**
3. 70.28%
4. 79.28%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7e444e2-a441-4a28-bca8-26e04764874a%2Fbcb54b2c-f445-47e9-b66f-e870bc1fa5df%2F54hymlm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Percentage of People Owning Smartphones or Tablets
According to recent data:
- 44.87% of people on earth have a smartphone.
- 25.41% have a tablet.
- 9% own both a smartphone and a tablet.
Given these statistics, the question posed is: What percentage of people on earth own either a smartphone or a tablet?
**Answer Choices**:
1. 11.40%
2. 61.28%
3. 70.28%
4. 79.28%
To calculate this, we use the principle of inclusion and exclusion in set theory to find the total percentage of people who own a smartphone or a tablet.
Using the formula:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
Where:
- \( P(A) \) is the probability of owning a smartphone = 44.87%
- \( P(B) \) is the probability of owning a tablet = 25.41%
- \( P(A \cap B) \) is the probability of owning both a smartphone and a tablet = 9%
\[
P(A \cup B) = 44.87\% + 25.41\% - 9\% = 61.28\%
\]
Therefore, the percentage of people who own either a smartphone or a tablet is: **61.28%**
Choose the correct option:
1. 11.40%
2. **61.28%**
3. 70.28%
4. 79.28%
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