A test was given to a group of students. The grades and gender are summarized below A B C Total Male 16 6 14 36 Female 3 20 10 33 Total 19 26 24 69 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'. 4 Round answer 4 places after the decimal if needed. Question Help: Video Message instructor Submit Question
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 16 6 14 36 Female 3 20 10 33 Total 19 26 24 69 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'. 4 Round answer 4 places after the decimal if needed. Question Help: Video Message instructor Submit Question
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Probability of Students' Grades Based on Gender**
**Summary Table:**
A test was administered to a group of students, and their grades along with their gender are shown in the table below:
| Gender | A | B | C | Total |
|----------|----|----|----|-------|
| Male | 16 | 6 | 14 | 36 |
| Female | 3 | 20 | 10 | 33 |
| **Total**| 19 | 26 | 24 | 69 |
**Problem Statement:**
If one student is chosen at random from those who took the test, find the probability that the student was male, given that they got an 'A'.
**Instructions:**
Round the answer to 4 decimal places, if needed.
**Solution Form:**
- **Video Explanation:** [Video]
- **Ask Your Instructor:** [Message Instructor]
**Submit Your Answer:**
Click the "Submit Question" button to submit your response after calculation.
---
**Note on Using the Table:**
The table provides the distribution of grades (A, B, and C) among males and females, as well as the total number of students in each category. This will aid in calculating conditional probabilities based on given conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4299bab-cfe6-4df1-82fa-bdefd18a2ba9%2Fb7201fc1-99cc-4e43-a283-88096095a1be%2Fkx37mfa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability of Students' Grades Based on Gender**
**Summary Table:**
A test was administered to a group of students, and their grades along with their gender are shown in the table below:
| Gender | A | B | C | Total |
|----------|----|----|----|-------|
| Male | 16 | 6 | 14 | 36 |
| Female | 3 | 20 | 10 | 33 |
| **Total**| 19 | 26 | 24 | 69 |
**Problem Statement:**
If one student is chosen at random from those who took the test, find the probability that the student was male, given that they got an 'A'.
**Instructions:**
Round the answer to 4 decimal places, if needed.
**Solution Form:**
- **Video Explanation:** [Video]
- **Ask Your Instructor:** [Message Instructor]
**Submit Your Answer:**
Click the "Submit Question" button to submit your response after calculation.
---
**Note on Using the Table:**
The table provides the distribution of grades (A, B, and C) among males and females, as well as the total number of students in each category. This will aid in calculating conditional probabilities based on given conditions.
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