A marketing firm did a study regarding the GPA that college athletes have. The results from 39 participants are listed below. Complete the probability distribution rounding to 3 decimal places. P(X = x) GPA Below 2.0 2.0 2.5 3.0 3.5 4.0 Number of Student Athletes 9 4 9 5 6 6 Part 1 of 2 Submit Part
A marketing firm did a study regarding the GPA that college athletes have. The results from 39 participants are listed below. Complete the probability distribution rounding to 3 decimal places. P(X = x) GPA Below 2.0 2.0 2.5 3.0 3.5 4.0 Number of Student Athletes 9 4 9 5 6 6 Part 1 of 2 Submit Part
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Probability Distribution of GPAs among College Athletes
A marketing firm conducted a study to analyze the Grade Point Averages (GPAs) of college athletes. Data collected from 39 participants is summarized below. The purpose is to complete the probability distribution, rounding the results to three decimal places.
#### Table: Distribution of GPAs among College Athletes
| GPA | Number of Student Athletes | \( P(X = x) \) |
|-------|----------------------------|----------------|
| Below 2.0 | 9 | |
| 2.0 | 4 | |
| 2.5 | 9 | |
| 3.0 | 5 | |
| 3.5 | 6 | |
| 4.0 | 6 | |
_Total number of participants: 39_
#### Instructions for Completing the Table
1. **Determine the Total Count:** The total number of participants is 39.
2. **Calculate the Probability** for each GPA category by using the formula:
\[
P(X = x) = \frac{\text{Number of Student Athletes in the GPA category}}{\text{Total number of participants}}
\]
3. **Round the Result** to three decimal places.
#### Example Calculation
For the GPA category "Below 2.0":
\[
P(X < 2.0) = \frac{9}{39} \approx 0.231
\]
#### Completing the Table
Proceed to fill the probabilities for each GPA category by applying the provided formula and rounding accordingly.
#### Interactive Submission
After completing the table with the appropriate probabilities, click the "Submit Part" button to finalize your input.
---
This exercise helps in understanding how to calculate and interpret probability distributions, which are fundamental concepts in statistics and data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95e5613b-1a25-4b20-8027-b25d1244d9dc%2F6f7bd422-6b3b-466a-a4b8-3a1bb00e961d%2F99pom34_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Distribution of GPAs among College Athletes
A marketing firm conducted a study to analyze the Grade Point Averages (GPAs) of college athletes. Data collected from 39 participants is summarized below. The purpose is to complete the probability distribution, rounding the results to three decimal places.
#### Table: Distribution of GPAs among College Athletes
| GPA | Number of Student Athletes | \( P(X = x) \) |
|-------|----------------------------|----------------|
| Below 2.0 | 9 | |
| 2.0 | 4 | |
| 2.5 | 9 | |
| 3.0 | 5 | |
| 3.5 | 6 | |
| 4.0 | 6 | |
_Total number of participants: 39_
#### Instructions for Completing the Table
1. **Determine the Total Count:** The total number of participants is 39.
2. **Calculate the Probability** for each GPA category by using the formula:
\[
P(X = x) = \frac{\text{Number of Student Athletes in the GPA category}}{\text{Total number of participants}}
\]
3. **Round the Result** to three decimal places.
#### Example Calculation
For the GPA category "Below 2.0":
\[
P(X < 2.0) = \frac{9}{39} \approx 0.231
\]
#### Completing the Table
Proceed to fill the probabilities for each GPA category by applying the provided formula and rounding accordingly.
#### Interactive Submission
After completing the table with the appropriate probabilities, click the "Submit Part" button to finalize your input.
---
This exercise helps in understanding how to calculate and interpret probability distributions, which are fundamental concepts in statistics and data analysis.
![The following table shows the number of people that have either 0, 1, 2, or 3 cars registered in their name, from a sample of 279 people.
| x | n |
|---|----|
| 0 | 72 |
| 1 | 53 |
| 2 | 63 |
| 3 | 91 |
(a) Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places.
[Text box for answer]
(b) Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
[Text box for answer]
Question Help: [Link to Written Example]
[Submit Question Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95e5613b-1a25-4b20-8027-b25d1244d9dc%2F6f7bd422-6b3b-466a-a4b8-3a1bb00e961d%2F718lkep_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table shows the number of people that have either 0, 1, 2, or 3 cars registered in their name, from a sample of 279 people.
| x | n |
|---|----|
| 0 | 72 |
| 1 | 53 |
| 2 | 63 |
| 3 | 91 |
(a) Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places.
[Text box for answer]
(b) Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
[Text box for answer]
Question Help: [Link to Written Example]
[Submit Question Button]
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