MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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### Educational Website Content: Probability in Context of Degree Fields #### Context: In a study on bachelor’s degrees among male and female students in a specific region, the table below provides data on the number of students who received degrees in a particular field and those who received degrees outside that field. A student is selected at random, and the exercise is to determine various probabilities based on this data. #### Table: | Gender | Degrees in Field | Degrees Outside of Field | Total | |----------|------------------|--------------------------|-------------| | Males | 151,656 | 584,107 | 735,763 | | Females | 131,259 | 806,217 | 937,476 | | **Total**| 292,915 | 1,390,324 | 1,683,239 | #### Probabilities to Determine: 1. **Probability that the student is male or received a degree in the field:** - Calculate: \( P(\text{Male or Degree in Field}) \) - Formula: \( P(\text{Male}) + P(\text{Degree in Field}) - P(\text{Male and Degree in Field}) \) 2. **Probability that the student is female or received a degree outside of the field:** - Calculate: \( P(\text{Female or Degree Outside Field}) \) - Formula: \( P(\text{Female}) + P(\text{Degree Outside Field}) - P(\text{Female and Degree Outside Field}) \) 3. **Probability that the student is male and received a degree outside of the field:** - Calculate: \( P(\text{Male and Degree Outside Field}) \) - Formula: \( \frac{\text{Number of Males With Degrees Outside Field}}{\text{Total Number of Students}} \) 4. **Probability that the student is female and received a degree in the field:** - Calculate: \( P(\text{Female and Degree in Field}) \) - Formula: \( \frac{\text{Number of Females With Degrees in Field}}{\text{Total Number of Students}} \) #### Instructions: - Insert the appropriate values into the formulas and solve. - Round all probability values to three decimal places as necessary. #### Interactive Table Tool: - Use interactive features to modify the input data if needed. - Options
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Transcribed Image Text:### Educational Website Content: Probability in Context of Degree Fields #### Context: In a study on bachelor’s degrees among male and female students in a specific region, the table below provides data on the number of students who received degrees in a particular field and those who received degrees outside that field. A student is selected at random, and the exercise is to determine various probabilities based on this data. #### Table: | Gender | Degrees in Field | Degrees Outside of Field | Total | |----------|------------------|--------------------------|-------------| | Males | 151,656 | 584,107 | 735,763 | | Females | 131,259 | 806,217 | 937,476 | | **Total**| 292,915 | 1,390,324 | 1,683,239 | #### Probabilities to Determine: 1. **Probability that the student is male or received a degree in the field:** - Calculate: \( P(\text{Male or Degree in Field}) \) - Formula: \( P(\text{Male}) + P(\text{Degree in Field}) - P(\text{Male and Degree in Field}) \) 2. **Probability that the student is female or received a degree outside of the field:** - Calculate: \( P(\text{Female or Degree Outside Field}) \) - Formula: \( P(\text{Female}) + P(\text{Degree Outside Field}) - P(\text{Female and Degree Outside Field}) \) 3. **Probability that the student is male and received a degree outside of the field:** - Calculate: \( P(\text{Male and Degree Outside Field}) \) - Formula: \( \frac{\text{Number of Males With Degrees Outside Field}}{\text{Total Number of Students}} \) 4. **Probability that the student is female and received a degree in the field:** - Calculate: \( P(\text{Female and Degree in Field}) \) - Formula: \( \frac{\text{Number of Females With Degrees in Field}}{\text{Total Number of Students}} \) #### Instructions: - Insert the appropriate values into the formulas and solve. - Round all probability values to three decimal places as necessary. #### Interactive Table Tool: - Use interactive features to modify the input data if needed. - Options
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