A test was given to a group of students. The grades and gender are summarized below A Male 16 19 14 Female 20 11 2 Total 36 30 16 B C 89 Total 49 33 82 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got a 'C'.
A test was given to a group of students. The grades and gender are summarized below A Male 16 19 14 Female 20 11 2 Total 36 30 16 B C 89 Total 49 33 82 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got a 'C'.
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
![## Test Scores by Gender
A test was given to a group of students. The grades and gender are summarized below:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 16 | 19 | 14 | 49 |
| Female| 20 | 11 | 2 | 33 |
| Total | 36 | 30 | 16 | 82 |
- **Explanation:** This table outlines the distribution of grades (A, B, C) among male and female students, along with the total number of students for each category.
### Probability Problem
If one student is chosen at random from those who took the test, find the probability that the student was male **given** they got a 'C'.
To solve this, you need to compare the number of males who got a 'C' with the total number of students who received a 'C'. The conditional probability is calculated as follows:
\[ P(\text{Male | C}) = \frac{\text{Number of males who got a 'C'}}{\text{Total number of students who got a 'C'}} \]
Given data:
- Number of males who got a 'C' = 14
- Total number of students who got a 'C' = 16
Thus, the probability is \(\frac{14}{16} = \frac{7}{8}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97b5df25-1667-438a-b46e-c2a0d1ae7c86%2F595b17b5-0c10-4277-bd40-a165f14cf4b2%2F0bnrden_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Test Scores by Gender
A test was given to a group of students. The grades and gender are summarized below:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 16 | 19 | 14 | 49 |
| Female| 20 | 11 | 2 | 33 |
| Total | 36 | 30 | 16 | 82 |
- **Explanation:** This table outlines the distribution of grades (A, B, C) among male and female students, along with the total number of students for each category.
### Probability Problem
If one student is chosen at random from those who took the test, find the probability that the student was male **given** they got a 'C'.
To solve this, you need to compare the number of males who got a 'C' with the total number of students who received a 'C'. The conditional probability is calculated as follows:
\[ P(\text{Male | C}) = \frac{\text{Number of males who got a 'C'}}{\text{Total number of students who got a 'C'}} \]
Given data:
- Number of males who got a 'C' = 14
- Total number of students who got a 'C' = 16
Thus, the probability is \(\frac{14}{16} = \frac{7}{8}\).
Expert Solution

Step 1
A | B | C | total | |
male | 16 | 19 | 14 | 49 |
female | 20 | 11 | 2 | 23 |
total | 36 | 30 | 16 | 80 |
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