Part: 1 / 5 Part 2 of 5 (b) Find the probability that the student is in fourth grade. The probability that the student is in fourth grade is X 5
Part: 1 / 5 Part 2 of 5 (b) Find the probability that the student is in fourth grade. The probability that the student is in fourth grade is X 5
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
![**School Days: Enrollment Statistics**
The following table presents the number of students enrolled in grades 1 through 8 in public schools in a certain country.
| Grade | Frequency (in 1000s) |
|-------|----------------------|
| 1 | 3775 |
| 2 | 3602 |
| 3 | 3612 |
| 4 | 3587 |
| 5 | 3638 |
| 6 | 3690 |
| 7 | 3781 |
| 8 | 3790 |
| **Total** | 29,445 |
*Source: Statistical Abstract of the United States*
---
**Considerations for Analysis**
Consider these students to be a population. Let \( X \) be the grade of a student randomly chosen from this population.
- **Part: 0 / 5**
**Part 1 of 5**
(a) Construct the probability distribution of \( X \). Round the answers to three decimal places.
\[
\begin{align*}
x &: 1 \quad 2 \quad 3 \quad 4 \quad 5 \quad 6 \quad 7 \quad 8 \\
P(x) &: 0.128 \quad 0.122 \quad 0.123 \quad 0.122 \quad 0.124 \quad 0.125 \quad 0.127 \quad 0.129 \\
\end{align*}
\]
- **Part: 2 of 5**
(b) Find the probability that the student is in fourth grade.
- The probability that the student is in fourth grade is \( P(X=4) = 0.122 \).
---
**Note**
Ensure use of statistical tools for precise calculation when verifying these probability figures. This data can be exported for further statistical modeling using Excel.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ee5d418-4908-4b12-8875-38434e326383%2F5a98e2f3-accd-4f3a-aab4-57035abfaa71%2Fu1jn94d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**School Days: Enrollment Statistics**
The following table presents the number of students enrolled in grades 1 through 8 in public schools in a certain country.
| Grade | Frequency (in 1000s) |
|-------|----------------------|
| 1 | 3775 |
| 2 | 3602 |
| 3 | 3612 |
| 4 | 3587 |
| 5 | 3638 |
| 6 | 3690 |
| 7 | 3781 |
| 8 | 3790 |
| **Total** | 29,445 |
*Source: Statistical Abstract of the United States*
---
**Considerations for Analysis**
Consider these students to be a population. Let \( X \) be the grade of a student randomly chosen from this population.
- **Part: 0 / 5**
**Part 1 of 5**
(a) Construct the probability distribution of \( X \). Round the answers to three decimal places.
\[
\begin{align*}
x &: 1 \quad 2 \quad 3 \quad 4 \quad 5 \quad 6 \quad 7 \quad 8 \\
P(x) &: 0.128 \quad 0.122 \quad 0.123 \quad 0.122 \quad 0.124 \quad 0.125 \quad 0.127 \quad 0.129 \\
\end{align*}
\]
- **Part: 2 of 5**
(b) Find the probability that the student is in fourth grade.
- The probability that the student is in fourth grade is \( P(X=4) = 0.122 \).
---
**Note**
Ensure use of statistical tools for precise calculation when verifying these probability figures. This data can be exported for further statistical modeling using Excel.
Expert Solution
Step 1
It is given that the probability distribution of X in a solution. Also in part(a).
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