If you created the probability distribution for these data, what would be the probability of 50-59? O 0.152 0.189 0.425 O 0.165

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
## Age Group Frequency Data Analysis

### Consider the following table:

| **Age Group** | **Frequency** |
|---------------|---------------|
| 18-29         | 983           |
| 30-39         | 784           |
| 40-49         | 686           |
| 50-59         | 632           |
| 60-69         | 541           |
| 70 and over   | 527           |

### Probability Distribution Question:

If you created the probability distribution for these data, what would be the probability of 50-59?

#### Answer Options:
- 0.152
- 0.189
- 0.425
- 0.165

### Diagram Explanation:

The table above represents various age groups and the respective frequencies of each group. The frequencies indicate the number of individuals within each specified age range. To calculate the probability for the age group 50-59, it is vital to find the ratio of the frequency of the 50-59 age group to the total frequencies of all age groups.

To proceed with the calculation, follow these steps:
1. **Sum the frequencies** of all age groups.
2. **Divide the frequency** of the 50-59 age group by the total frequency to find the probability.

Summing the frequencies:
\[ 983 + 784 + 686 + 632 + 541 + 527 = 4153 \]

Calculating the probability for the age group 50-59:
\[ \frac{632}{4153} \approx 0.152 \]

Thus, the correct answer is \(0.152\).
Transcribed Image Text:## Age Group Frequency Data Analysis ### Consider the following table: | **Age Group** | **Frequency** | |---------------|---------------| | 18-29 | 983 | | 30-39 | 784 | | 40-49 | 686 | | 50-59 | 632 | | 60-69 | 541 | | 70 and over | 527 | ### Probability Distribution Question: If you created the probability distribution for these data, what would be the probability of 50-59? #### Answer Options: - 0.152 - 0.189 - 0.425 - 0.165 ### Diagram Explanation: The table above represents various age groups and the respective frequencies of each group. The frequencies indicate the number of individuals within each specified age range. To calculate the probability for the age group 50-59, it is vital to find the ratio of the frequency of the 50-59 age group to the total frequencies of all age groups. To proceed with the calculation, follow these steps: 1. **Sum the frequencies** of all age groups. 2. **Divide the frequency** of the 50-59 age group by the total frequency to find the probability. Summing the frequencies: \[ 983 + 784 + 686 + 632 + 541 + 527 = 4153 \] Calculating the probability for the age group 50-59: \[ \frac{632}{4153} \approx 0.152 \] Thus, the correct answer is \(0.152\).
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman