Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender ABC Male 6 2 18 Female 8 19 11 If one student was chosen at random, find the probability that the student got a B. Probability = (Round to 4 decimal places)
Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender ABC Male 6 2 18 Female 8 19 11 If one student was chosen at random, find the probability that the student got a B. Probability = (Round to 4 decimal places)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
Related questions
Question
100%
need help please
![**Probability of a Student Getting a B**
In a study conducted where a test was administered to a group of students, the distribution of grades relative to gender is summarized in the table below:
| | A | B | C |
|--------|---|----|----|
| Male | 6 | 2 | 18 |
| Female | 8 | 19 | 11 |
*Table 1: Distribution of Grades vs. Gender*
**Problem:**
If one student was chosen at random, determine the probability that the student received a grade of B.
**Solution:**
1. **Calculate the Total Number of Students:**
Total Students = (Males with A + Males with B + Males with C) + (Females with A + Females with B + Females with C)
\[
\text{Total Students} = (6 + 2 + 18) + (8 + 19 + 11) = 44
\]
2. **Calculate the Total Number of Students Who Got a B:**
Total Students with B = Males with B + Females with B
\[
\text{Total Students with B} = 2 + 19 = 21
\]
3. **Calculate the Probability:**
\[
\text{Probability} = \frac{\text{Total Students with B}}{\text{Total Students}} = \frac{21}{44}
\]
4. **Round the Probability to 4 Decimal Places:**
\[
\text{Probability} = 0.4773
\]
Therefore, the probability that a randomly chosen student got a B is **0.4773**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f84057-ddc6-4a16-833f-eeebb801b1ce%2F1cc78787-0ad3-4479-988f-711f9cece40b%2Fnn04a0e_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability of a Student Getting a B**
In a study conducted where a test was administered to a group of students, the distribution of grades relative to gender is summarized in the table below:
| | A | B | C |
|--------|---|----|----|
| Male | 6 | 2 | 18 |
| Female | 8 | 19 | 11 |
*Table 1: Distribution of Grades vs. Gender*
**Problem:**
If one student was chosen at random, determine the probability that the student received a grade of B.
**Solution:**
1. **Calculate the Total Number of Students:**
Total Students = (Males with A + Males with B + Males with C) + (Females with A + Females with B + Females with C)
\[
\text{Total Students} = (6 + 2 + 18) + (8 + 19 + 11) = 44
\]
2. **Calculate the Total Number of Students Who Got a B:**
Total Students with B = Males with B + Females with B
\[
\text{Total Students with B} = 2 + 19 = 21
\]
3. **Calculate the Probability:**
\[
\text{Probability} = \frac{\text{Total Students with B}}{\text{Total Students}} = \frac{21}{44}
\]
4. **Round the Probability to 4 Decimal Places:**
\[
\text{Probability} = 0.4773
\]
Therefore, the probability that a randomly chosen student got a B is **0.4773**.
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 3 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,