After giving a test, below is the summary of grades by gender. A B Total Male 18 12 5 35 Female 11 9 15 35 Total 29 21 20 70 If a student is randomly chosen, find the probability that
After giving a test, below is the summary of grades by gender. A B Total Male 18 12 5 35 Female 11 9 15 35 Total 29 21 20 70 If a student is randomly chosen, find the probability that
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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Question
![### Probability and Statistics Problems
**Problem Statement:**
#### b. The student is female or earned grade \( C \). Leave your answer as a reduced fraction.
[Input Box]
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#### c. The student is female given the student earned grade \( C \). Leave your answer as a reduced fraction.
[Input Box]
---
**Detailed Explanation of Problems:**
**Part b:**
You are required to calculate the probability that a randomly selected student is either female or has earned a grade of \( C \). Express your final answer as a reduced fraction.
**Part c:**
Determine the conditional probability that a randomly selected student is female given that the student has already earned a grade of \( C \). Express your answer as a reduced fraction.
Fill in your answers in the provided input boxes. Make sure the fractions are reduced to their simplest form.
---
Please treat each of these problems with the understanding that proper application of probability rules and conditional probabilities are essential. Make sure your answers are in the simplest reduced fraction form for clarity and accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52bde6f1-de69-4d5b-bf13-f82b423cf0e9%2F722dd28b-f5ba-4c5d-8a91-63ed17c83874%2Fse2hi2d_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability and Statistics Problems
**Problem Statement:**
#### b. The student is female or earned grade \( C \). Leave your answer as a reduced fraction.
[Input Box]
---
#### c. The student is female given the student earned grade \( C \). Leave your answer as a reduced fraction.
[Input Box]
---
**Detailed Explanation of Problems:**
**Part b:**
You are required to calculate the probability that a randomly selected student is either female or has earned a grade of \( C \). Express your final answer as a reduced fraction.
**Part c:**
Determine the conditional probability that a randomly selected student is female given that the student has already earned a grade of \( C \). Express your answer as a reduced fraction.
Fill in your answers in the provided input boxes. Make sure the fractions are reduced to their simplest form.
---
Please treat each of these problems with the understanding that proper application of probability rules and conditional probabilities are essential. Make sure your answers are in the simplest reduced fraction form for clarity and accuracy.
![**Summary of Grades by Gender**
After administering a test, the grades summary by gender is presented in the table below:
| | A | B | C | Total |
|------|----|----|----|-------|
| Male | 18 | 12 | 5 | 35 |
| Female | 11 | 9 | 15 | 35 |
| Total | 29 | 21 | 20 | 70 |
**Explanation of Table:**
- The table categorizes the number of students who received grades A, B, and C, divided by gender (Male and Female).
- "Male" row: 18 students received an A, 12 students received a B, and 5 students received a C, totaling 35 male students.
- "Female" row: 11 students received an A, 9 students received a B, and 15 students received a C, totaling 35 female students.
- The "Total" row sums the grades across both genders, showing that 29 students received an A, 21 received a B, and 20 received a C. The overall total number of students is 70.
**Probability Question:**
If a student is randomly chosen, find the probability that the student...
[Note: The question seems to be incomplete. The context suggests it is leading towards a probability question based on the provided data, such as the probability of selecting a student with a particular grade or of a particular gender.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52bde6f1-de69-4d5b-bf13-f82b423cf0e9%2F722dd28b-f5ba-4c5d-8a91-63ed17c83874%2Fwesfx66_processed.png&w=3840&q=75)
Transcribed Image Text:**Summary of Grades by Gender**
After administering a test, the grades summary by gender is presented in the table below:
| | A | B | C | Total |
|------|----|----|----|-------|
| Male | 18 | 12 | 5 | 35 |
| Female | 11 | 9 | 15 | 35 |
| Total | 29 | 21 | 20 | 70 |
**Explanation of Table:**
- The table categorizes the number of students who received grades A, B, and C, divided by gender (Male and Female).
- "Male" row: 18 students received an A, 12 students received a B, and 5 students received a C, totaling 35 male students.
- "Female" row: 11 students received an A, 9 students received a B, and 15 students received a C, totaling 35 female students.
- The "Total" row sums the grades across both genders, showing that 29 students received an A, 21 received a B, and 20 received a C. The overall total number of students is 70.
**Probability Question:**
If a student is randomly chosen, find the probability that the student...
[Note: The question seems to be incomplete. The context suggests it is leading towards a probability question based on the provided data, such as the probability of selecting a student with a particular grade or of a particular gender.]
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