**Conditional Probability and Business Degrees** The problem focuses on calculating conditional probabilities related to the gender of students with business degrees. We will address two specific probabilities based on the data of students receiving bachelor’s degrees in business: 1. **Probability of Male Given Business Degree** Calculate the probability that a randomly selected student is male, given that the student received a business degree. This is based on the total number of students with business degrees and how many of them are male. 2. **Probability of Business Degree Given Female** Calculate the probability that a randomly selected student received a business degree, given that the student is female. This requires data on the total number of female students and how many of them have a business degree. These concepts involve using conditional probability formulas, which may require data on the number of male and female students, as well as the total number of students with business degrees. Note: Refer to the specific data in the accompanying table (not shown here) to compute these probabilities accurately. Use the formula for conditional probability and round your answers to three decimal places as instructed. **Business Graduates Data** The table displays the number of graduates with business and nonbusiness degrees, categorized by gender. | Gender | Business Degrees | Nonbusiness Degrees | Total | |--------|------------------|---------------------|-----------| | Male | 186,859 | 620,458 | 807,317 | | Female | 166,748 | 942,106 | 1,108,854 | | Total | 353,607 | 1,562,564 | 1,916,171 | **Explanation:** - **Business Degrees:** - Males: 186,859 - Females: 166,748 - Total: 353,607 - **Nonbusiness Degrees:** - Males: 620,458 - Females: 942,106 - Total: 1,562,564 - **Overall Totals:** - Males: 807,317 - Females: 1,108,854 - Grand Total: 1,916,171 This data provides insight into the distribution of business and nonbusiness degrees awarded to male and female graduates.
**Conditional Probability and Business Degrees** The problem focuses on calculating conditional probabilities related to the gender of students with business degrees. We will address two specific probabilities based on the data of students receiving bachelor’s degrees in business: 1. **Probability of Male Given Business Degree** Calculate the probability that a randomly selected student is male, given that the student received a business degree. This is based on the total number of students with business degrees and how many of them are male. 2. **Probability of Business Degree Given Female** Calculate the probability that a randomly selected student received a business degree, given that the student is female. This requires data on the total number of female students and how many of them have a business degree. These concepts involve using conditional probability formulas, which may require data on the number of male and female students, as well as the total number of students with business degrees. Note: Refer to the specific data in the accompanying table (not shown here) to compute these probabilities accurately. Use the formula for conditional probability and round your answers to three decimal places as instructed. **Business Graduates Data** The table displays the number of graduates with business and nonbusiness degrees, categorized by gender. | Gender | Business Degrees | Nonbusiness Degrees | Total | |--------|------------------|---------------------|-----------| | Male | 186,859 | 620,458 | 807,317 | | Female | 166,748 | 942,106 | 1,108,854 | | Total | 353,607 | 1,562,564 | 1,916,171 | **Explanation:** - **Business Degrees:** - Males: 186,859 - Females: 166,748 - Total: 353,607 - **Nonbusiness Degrees:** - Males: 620,458 - Females: 942,106 - Total: 1,562,564 - **Overall Totals:** - Males: 807,317 - Females: 1,108,854 - Grand Total: 1,916,171 This data provides insight into the distribution of business and nonbusiness degrees awarded to male and female graduates.
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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Transcribed Image Text:**Conditional Probability and Business Degrees**
The problem focuses on calculating conditional probabilities related to the gender of students with business degrees. We will address two specific probabilities based on the data of students receiving bachelor’s degrees in business:
1. **Probability of Male Given Business Degree**
Calculate the probability that a randomly selected student is male, given that the student received a business degree. This is based on the total number of students with business degrees and how many of them are male.
2. **Probability of Business Degree Given Female**
Calculate the probability that a randomly selected student received a business degree, given that the student is female. This requires data on the total number of female students and how many of them have a business degree.
These concepts involve using conditional probability formulas, which may require data on the number of male and female students, as well as the total number of students with business degrees.
Note: Refer to the specific data in the accompanying table (not shown here) to compute these probabilities accurately. Use the formula for conditional probability and round your answers to three decimal places as instructed.
Transcribed Image Text:**Business Graduates Data**
The table displays the number of graduates with business and nonbusiness degrees, categorized by gender.
| Gender | Business Degrees | Nonbusiness Degrees | Total |
|--------|------------------|---------------------|-----------|
| Male | 186,859 | 620,458 | 807,317 |
| Female | 166,748 | 942,106 | 1,108,854 |
| Total | 353,607 | 1,562,564 | 1,916,171 |
**Explanation:**
- **Business Degrees:**
- Males: 186,859
- Females: 166,748
- Total: 353,607
- **Nonbusiness Degrees:**
- Males: 620,458
- Females: 942,106
- Total: 1,562,564
- **Overall Totals:**
- Males: 807,317
- Females: 1,108,854
- Grand Total: 1,916,171
This data provides insight into the distribution of business and nonbusiness degrees awarded to male and female graduates.
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