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 event 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 needed.)
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 event 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 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
Related questions
Question
![### Probability Calculation of Degree Distribution Among Students
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 event listed in parts (a) through (c) below.
#### (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 needed.)
#### Table
| | Degrees in Field | Degrees Outside of Field | Total |
|------------------|------------------|--------------------------|----------|
| **Males** | 173,963 | 584,527 | 758,490 |
| **Females** | 124,809 | 908,741 | 1,033,550|
| **Total** | 298,772 | 1,493,268 | 1,792,040|
#### Instructions:
1. **Identify the Number of Students for Each Category**: Review the numbers of males and females who received degrees in the field and outside of the field.
2. **Calculate the Probability**: Use appropriate formulas to calculate the required probabilities, ensuring to sum the relevant categories.
3. **Round Off**: Round your final answer to three decimal places for precision.
#### Example Calculation for Part (a):
To find the probability that a student is either male or received a degree in the field, use the formula:
\[ P(\text{Male or Degree in Field}) = P(\text{Male}) + P(\text{Degree in Field}) - P(\text{Male and Degree in Field}) \]
Where:
- \(P(\text{Male}) = \frac{758,490}{1,792,040}\)
- \(P(\text{Degree in Field}) = \frac{298,772}{1,792,040}\)
- \(P(\text{Male and Degree in Field}) = \frac{173,963}{1,792,040}\)
Apply the values and perform the necessary calculations.
#### Visual Representation:
- **Degrees in Field**: Represents the number of students who received degrees in the specified field.
- **Degrees Outside of Field**: Represents the number of students who received degrees outside of the specified field.
- **Total**: Represents](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5ff9c3f-9717-4427-81ca-9eaa3fb6edc8%2F8dec116f-86cf-489c-b3bd-6a5eb8bef290%2Fufakt6t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Calculation of Degree Distribution Among Students
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 event listed in parts (a) through (c) below.
#### (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 needed.)
#### Table
| | Degrees in Field | Degrees Outside of Field | Total |
|------------------|------------------|--------------------------|----------|
| **Males** | 173,963 | 584,527 | 758,490 |
| **Females** | 124,809 | 908,741 | 1,033,550|
| **Total** | 298,772 | 1,493,268 | 1,792,040|
#### Instructions:
1. **Identify the Number of Students for Each Category**: Review the numbers of males and females who received degrees in the field and outside of the field.
2. **Calculate the Probability**: Use appropriate formulas to calculate the required probabilities, ensuring to sum the relevant categories.
3. **Round Off**: Round your final answer to three decimal places for precision.
#### Example Calculation for Part (a):
To find the probability that a student is either male or received a degree in the field, use the formula:
\[ P(\text{Male or Degree in Field}) = P(\text{Male}) + P(\text{Degree in Field}) - P(\text{Male and Degree in Field}) \]
Where:
- \(P(\text{Male}) = \frac{758,490}{1,792,040}\)
- \(P(\text{Degree in Field}) = \frac{298,772}{1,792,040}\)
- \(P(\text{Male and Degree in Field}) = \frac{173,963}{1,792,040}\)
Apply the values and perform the necessary calculations.
#### Visual Representation:
- **Degrees in Field**: Represents the number of students who received degrees in the specified field.
- **Degrees Outside of Field**: Represents the number of students who received degrees outside of the specified field.
- **Total**: Represents
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman