One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. College degree (D) No college degree (D') Total Female (F) Male (F') Total 33 50 35 50 68 100 17 15 32
One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. College degree (D) No college degree (D') Total Female (F) Male (F') Total 33 50 35 50 68 100 17 15 32
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Question 6 (1 point)
One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table.
| | Female (F) | Male (F') | Total |
|------------------------|------------|-----------|-------|
| College degree (D) | 33 | 17 | 50 |
| No college degree (D') | 35 | 15 | 50 |
| Total | 68 | 32 | 100 |
#### Question
Assuming these two events are independent, what is the expected value for the number of Females with a College degree?
- [ ] 15
- [ ] 34
- [ ] 17
- [ ] 33
- [ ] 16
- [ ] 35
#### Explanation
The table displays the distribution of 100 surveyed individuals by educational background and gender. It shows the number of people with a college degree and those without, separated into female and male categories. To calculate the expected value for the number of Females with a College degree assuming independence, use the following formula:
\[
E(F \cap D) = P(F) \cdot P(D) \cdot \text{Total number of people}
\]
Where \( P(F) = \frac{68}{100} \) and \( P(D) = \frac{50}{100} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62141fe7-8cd0-468b-ab78-078cde7f1131%2Ff59f2d48-2376-4350-82b1-688b8797f36a%2Fxiwlvpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 6 (1 point)
One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table.
| | Female (F) | Male (F') | Total |
|------------------------|------------|-----------|-------|
| College degree (D) | 33 | 17 | 50 |
| No college degree (D') | 35 | 15 | 50 |
| Total | 68 | 32 | 100 |
#### Question
Assuming these two events are independent, what is the expected value for the number of Females with a College degree?
- [ ] 15
- [ ] 34
- [ ] 17
- [ ] 33
- [ ] 16
- [ ] 35
#### Explanation
The table displays the distribution of 100 surveyed individuals by educational background and gender. It shows the number of people with a college degree and those without, separated into female and male categories. To calculate the expected value for the number of Females with a College degree assuming independence, use the following formula:
\[
E(F \cap D) = P(F) \cdot P(D) \cdot \text{Total number of people}
\]
Where \( P(F) = \frac{68}{100} \) and \( P(D) = \frac{50}{100} \).
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