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The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each ew listed in parts (a) through (c) below. Click the icon to view the table. (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as need 1 Table (b) The student is female or received a degree outside of the field The probability is. (Type an integer or a decimal. Round to three decimal places as need Degrees Outside of Field Degrees in Field Total (c) The student is not female or received a degree outside of the field Males Females 161,565 584,107 745,672 The probability is . (Type an integer or a decimal. Round to three decimal places as need 131,249 806,217 937,466 Total 292,814 1,390,324 1,683,138 Print Done

The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each ew listed in parts (a) through (c) below. Click the icon to view the table. (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as need 1 Table (b) The student is female or received a degree outside of the field The probability is. (Type an integer or a decimal. Round to three decimal places as need Degrees Outside of Field Degrees in Field Total (c) The student is not female or received a degree outside of the field Males Females 161,565 584,107 745,672 The probability is . (Type an integer or a decimal. Round to three decimal places as need 131,249 806,217 937,466 Total 292,814 1,390,324 1,683,138 Print Done

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
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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