Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 6 8 13 27 Female 11 12 17 40 Total 17 20 30 67 If one student is chosen at random, find the probability that the student did NOT get an "A". Give your answer as a reduced fraction. P(student did NOT get an "A") =
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 6 8 13 27 Female 11 12 17 40 Total 17 20 30 67 If one student is chosen at random, find the probability that the student did NOT get an "A". Give your answer as a reduced fraction. P(student did NOT get an "A") =
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
![**Title: Probability of Not Receiving an "A" Grade Based on Gender**
**Introduction:**
In this exercise, we are examining the distribution of grades among a group of students categorized by gender. We will calculate the probability that a randomly selected student did not receive an "A" grade.
**Data Summary:**
The table below shows the breakdown of grades by gender:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 6 | 8 | 13 | 27 |
| Female| 11 | 12 | 17 | 40 |
| Total | 17 | 20 | 30 | 67 |
**Task:**
Determine the probability that a student chosen at random did not receive an "A" grade. Express your answer as a reduced fraction.
**Solution:**
1. **Total Students:** 67
2. **Students with "A" Grades:** 17
3. **Students without "A" Grades:** 67 - 17 = 50
**Probability Calculation:**
\[ P(\text{student did NOT get an "A"}) = \frac{\text{Number of students not getting "A"}}{\text{Total number of students}} = \frac{50}{67} \]
**Question Help:**
For further assistance, a video resource is available.
**Interactive Element:**
Check your answer using the "Check Answer" button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51edee05-cba8-4019-9a0d-4ee43c921f56%2F06fd4aae-2d9f-4e83-bb63-0417a570b3c9%2Ffyw729j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Probability of Not Receiving an "A" Grade Based on Gender**
**Introduction:**
In this exercise, we are examining the distribution of grades among a group of students categorized by gender. We will calculate the probability that a randomly selected student did not receive an "A" grade.
**Data Summary:**
The table below shows the breakdown of grades by gender:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 6 | 8 | 13 | 27 |
| Female| 11 | 12 | 17 | 40 |
| Total | 17 | 20 | 30 | 67 |
**Task:**
Determine the probability that a student chosen at random did not receive an "A" grade. Express your answer as a reduced fraction.
**Solution:**
1. **Total Students:** 67
2. **Students with "A" Grades:** 17
3. **Students without "A" Grades:** 67 - 17 = 50
**Probability Calculation:**
\[ P(\text{student did NOT get an "A"}) = \frac{\text{Number of students not getting "A"}}{\text{Total number of students}} = \frac{50}{67} \]
**Question Help:**
For further assistance, a video resource is available.
**Interactive Element:**
Check your answer using the "Check Answer" button.
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