402 628 31 1061 me probability that the person opposed the tax or is female. ed the tax or is female) = o the nearest thousandth as needed.) the probability that the person supports the tax or is male. Orts the tax or is male) = to the nearest thousandth as needed.) d the probability that the person is not unsure or is female. ot unsure or is female) = nd to the nearest thousandth as needed.)
402 628 31 1061 me probability that the person opposed the tax or is female. ed the tax or is female) = o the nearest thousandth as needed.) the probability that the person supports the tax or is male. Orts the tax or is male) = to the nearest thousandth as needed.) d the probability that the person is not unsure or is female. ot unsure or is female) = nd to the nearest thousandth as needed.)
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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![### Survey Results on Educational Tax Support for 1061 Adults
The table below illustrates the responses from a survey conducted to determine the opinions of 1061 adults regarding the implementation of a tax to fund education in a certain country. The responses are categorized by gender and preference (support, oppose, or unsure).
| Gender | Support | Oppose | Unsure | Total |
|---------|---------|--------|--------|-------|
| Males | 167 | 330 | 12 | 509 |
| Females | 235 | 298 | 19 | 552 |
| **Total**| **402** | **628** | **31** | **1061** |
**Questions for Students:**
**(a)** Find the probability that the person opposed the tax or is female.
\[
P(\text{opposed the tax or is female}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
**(b)** Find the probability that the person supports the tax or is male.
\[
P(\text{supports the tax or is male}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
**(c)** Find the probability that the person is not unsure or is female.
\[
P(\text{is not unsure or is female}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
### Explanation of Table:
- **Rows** are categorized by gender (Males and Females).
- **Columns** segregate the responses into three categories: Support, Oppose, and Unsure.
- The **Total** column provides the total number of survey responses for each gender.
- The last row **Total** aggregates the sum of responses across both genders for each category and the overall total number of respondents.
### Steps to Solve:
1. **Understand Event Unions and Intersections:**
- For example, P(opposed the tax or is female) involves adding the probabilities of each event and subtracting the intersection if they overlap.
2. **Calculate Probabilities:**
- Use the formula \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
3. **Apply in Context:**
- Compute probabilities for each specified event mixing gender considerations and response categories as indicated.
This table aids in statistical calculations to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F690cfc63-1353-41b6-9fd1-6052f341a546%2Fc4ff0535-f4e5-49d7-afb7-bf6a39889c1d%2F0lht0h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Survey Results on Educational Tax Support for 1061 Adults
The table below illustrates the responses from a survey conducted to determine the opinions of 1061 adults regarding the implementation of a tax to fund education in a certain country. The responses are categorized by gender and preference (support, oppose, or unsure).
| Gender | Support | Oppose | Unsure | Total |
|---------|---------|--------|--------|-------|
| Males | 167 | 330 | 12 | 509 |
| Females | 235 | 298 | 19 | 552 |
| **Total**| **402** | **628** | **31** | **1061** |
**Questions for Students:**
**(a)** Find the probability that the person opposed the tax or is female.
\[
P(\text{opposed the tax or is female}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
**(b)** Find the probability that the person supports the tax or is male.
\[
P(\text{supports the tax or is male}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
**(c)** Find the probability that the person is not unsure or is female.
\[
P(\text{is not unsure or is female}) = \ldots
\]
\*(Round to the nearest thousandth as needed.)*
### Explanation of Table:
- **Rows** are categorized by gender (Males and Females).
- **Columns** segregate the responses into three categories: Support, Oppose, and Unsure.
- The **Total** column provides the total number of survey responses for each gender.
- The last row **Total** aggregates the sum of responses across both genders for each category and the overall total number of respondents.
### Steps to Solve:
1. **Understand Event Unions and Intersections:**
- For example, P(opposed the tax or is female) involves adding the probabilities of each event and subtracting the intersection if they overlap.
2. **Calculate Probabilities:**
- Use the formula \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
3. **Apply in Context:**
- Compute probabilities for each specified event mixing gender considerations and response categories as indicated.
This table aids in statistical calculations to
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