Use the frequency distribution to the right, which shows the number voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range. not between 25 and 34 years old + Ages of voters Frequency 18 to 20 5.5 21 to 24 10.1 20.5 25 to 34 35 to 44 45 to 64 22.8 54.8 65 and over 27.2
Use the frequency distribution to the right, which shows the number voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range. not between 25 and 34 years old + Ages of voters Frequency 18 to 20 5.5 21 to 24 10.1 20.5 25 to 34 35 to 44 45 to 64 22.8 54.8 65 and over 27.2
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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![**Voter Age Distribution and Probability Calculation**
**Problem Statement:**
Use the frequency distribution provided below, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is not between 25 and 34 years old.
**Age Distribution and Frequency:**
| **Ages of Voters** | **Frequency (millions)** |
|--------------------|--------------------------|
| 18 to 20 | 5.5 |
| 21 to 24 | 10.1 |
| 25 to 34 | 20.5 |
| 35 to 44 | 22.8 |
| 45 to 64 | 54.8 |
| 65 and over | 27.2 |
To determine the probability that a randomly selected voter is _not_ between 25 and 34 years old, we can follow these steps:
1. **Calculate the Total Number of Voters (in millions):**
\[ \text{Total voters} = 5.5 + 10.1 + 20.5 + 22.8 + 54.8 + 27.2 \]
2. **Calculate the Number of Voters Not in the 25 to 34 Year Age Range:**
\[ \text{Voters not in 25 to 34 range} = \text{Total voters} - 20.5 \]
3. **Find the Probability:**
\[ \text{Probability} = \frac{\text{Voters not in 25 to 34 range}}{\text{Total number of voters}} \]
4. **Round to Three Decimal Places as Needed.**
**Answer Box:**
- The probability is \( \boxed{[ \quad ]} \).
(Round to three decimal places as needed.)
By following these steps, you can determine the probability that a voter chosen at random is not between 25 and 34 years old. Make sure to perform all calculations with care and round your final answer appropriately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a0be3e-3983-4420-aed0-1c62c53b9b01%2Fd9049161-b617-4b24-b38b-ee750e251fd2%2F3vnbbop_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Voter Age Distribution and Probability Calculation**
**Problem Statement:**
Use the frequency distribution provided below, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is not between 25 and 34 years old.
**Age Distribution and Frequency:**
| **Ages of Voters** | **Frequency (millions)** |
|--------------------|--------------------------|
| 18 to 20 | 5.5 |
| 21 to 24 | 10.1 |
| 25 to 34 | 20.5 |
| 35 to 44 | 22.8 |
| 45 to 64 | 54.8 |
| 65 and over | 27.2 |
To determine the probability that a randomly selected voter is _not_ between 25 and 34 years old, we can follow these steps:
1. **Calculate the Total Number of Voters (in millions):**
\[ \text{Total voters} = 5.5 + 10.1 + 20.5 + 22.8 + 54.8 + 27.2 \]
2. **Calculate the Number of Voters Not in the 25 to 34 Year Age Range:**
\[ \text{Voters not in 25 to 34 range} = \text{Total voters} - 20.5 \]
3. **Find the Probability:**
\[ \text{Probability} = \frac{\text{Voters not in 25 to 34 range}}{\text{Total number of voters}} \]
4. **Round to Three Decimal Places as Needed.**
**Answer Box:**
- The probability is \( \boxed{[ \quad ]} \).
(Round to three decimal places as needed.)
By following these steps, you can determine the probability that a voter chosen at random is not between 25 and 34 years old. Make sure to perform all calculations with care and round your final answer appropriately.
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