Giving a test to a group of students, the grades and gender are summarized below A CTotal 7 9. Male 20 Female 10 14 33 Total 17 17 19 53 If one student is chosen at random, Find the probability that the student was male. 7 53 20 53 20 B8 7,
Giving a test to a group of students, the grades and gender are summarized below A CTotal 7 9. Male 20 Female 10 14 33 Total 17 17 19 53 If one student is chosen at random, Find the probability that the student was male. 7 53 20 53 20 B8 7,
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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![**Educational Website Transcription:**
**Probability and Statistics: Understanding Data**
*Overview:*
When giving a test to a group of students, the grades and gender were summarized as follows in the table below:
```
| | A | B | C | Total |
|---------|-----|-----|-----|-------|
| Male | 7 | 8 | 5 | 20 |
| Female | 10 | 9 | 14 | 33 |
| Total | 17 | 17 | 19 | 53 |
```
*Analysis:*
If one student is chosen at random, we are interested in finding the probability that the student is male.
*Solution:*
- Total number of students: 53
- Total number of male students: 20
The probability that a randomly chosen student is male is calculated as follows:
\[ \text{Probability (Male)} = \frac{\text{Number of Male Students}}{\text{Total Number of Students}} = \frac{20}{53} \]
*Multiple Choice:*
Select the correct probability from the options below:
- \( \frac{7}{53} \)
- \( \frac{20}{53} \)
- 20
- 53
- \( \frac{7}{20} \)
[Submit Question]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71586c71-e002-40ed-a348-3617b1ab0846%2F64bdbd57-dabd-4792-8460-2e23a0c80fa5%2Fvk88f4e.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription:**
**Probability and Statistics: Understanding Data**
*Overview:*
When giving a test to a group of students, the grades and gender were summarized as follows in the table below:
```
| | A | B | C | Total |
|---------|-----|-----|-----|-------|
| Male | 7 | 8 | 5 | 20 |
| Female | 10 | 9 | 14 | 33 |
| Total | 17 | 17 | 19 | 53 |
```
*Analysis:*
If one student is chosen at random, we are interested in finding the probability that the student is male.
*Solution:*
- Total number of students: 53
- Total number of male students: 20
The probability that a randomly chosen student is male is calculated as follows:
\[ \text{Probability (Male)} = \frac{\text{Number of Male Students}}{\text{Total Number of Students}} = \frac{20}{53} \]
*Multiple Choice:*
Select the correct probability from the options below:
- \( \frac{7}{53} \)
- \( \frac{20}{53} \)
- 20
- 53
- \( \frac{7}{20} \)
[Submit Question]
Expert Solution
Step 1
probability of an event
= number of elements of an event / number of element in sample space
probability that the student was male
= total number of males / total number of students
=20/53
Step by step
Solved in 2 steps
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