Use the frequency distribution to the right, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range. Ages of voters Frequency 18 to 20 7.9 21 to 24 25 to 34 11.2 not between 35 and 44 years old 20.2 35 to 44 26.1 45 to 64 55.6 65 and over 26.3 The probability is. (Round to three decimal placés as needed.)

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### Probability Calculation Based on Age Distribution of Voters

Use the frequency distribution below, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in a given age range but not between 35 and 44 years old.

#### Frequency Distribution Table
| Ages of Voters | Frequency (in millions) |
|----------------|-------------------------|
| 18 to 20       | 7.9                     |
| 21 to 24       | 11.2                    |
| 25 to 34       | 20.2                    |
| 35 to 44       | 26.1                    |
| 45 to 64       | 55.6                    |
| 65 and over    | 26.3                    |

To calculate the probability:

1. **Identify the total number of voters**: 
   Sum all the frequencies.
   \( \text{Total} = 7.9 + 11.2 + 20.2 + 26.1 + 55.6 + 26.3 = 147.3 \) million voters
   
2. **Identify the number of voters not between 35 and 44 years old**:
   Sum the frequencies of all age groups except 35 to 44.
   \( \text{Voters not between 35 and 44} = 7.9 + 11.2 + 20.2 + 55.6 + 26.3 = 121.2 \) million voters

3. **Calculate the probability**:
   Divide the number of voters not between 35 and 44 by the total number of voters.
   \[ \text{Probability} = \frac{121.2}{147.3} \approx 0.823 \]

### Final Answer
The probability that a voter chosen at random is not between 35 and 44 years old is approximately **0.823** (rounded to three decimal places).
Transcribed Image Text:### Probability Calculation Based on Age Distribution of Voters Use the frequency distribution below, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in a given age range but not between 35 and 44 years old. #### Frequency Distribution Table | Ages of Voters | Frequency (in millions) | |----------------|-------------------------| | 18 to 20 | 7.9 | | 21 to 24 | 11.2 | | 25 to 34 | 20.2 | | 35 to 44 | 26.1 | | 45 to 64 | 55.6 | | 65 and over | 26.3 | To calculate the probability: 1. **Identify the total number of voters**: Sum all the frequencies. \( \text{Total} = 7.9 + 11.2 + 20.2 + 26.1 + 55.6 + 26.3 = 147.3 \) million voters 2. **Identify the number of voters not between 35 and 44 years old**: Sum the frequencies of all age groups except 35 to 44. \( \text{Voters not between 35 and 44} = 7.9 + 11.2 + 20.2 + 55.6 + 26.3 = 121.2 \) million voters 3. **Calculate the probability**: Divide the number of voters not between 35 and 44 by the total number of voters. \[ \text{Probability} = \frac{121.2}{147.3} \approx 0.823 \] ### Final Answer The probability that a voter chosen at random is not between 35 and 44 years old is approximately **0.823** (rounded to three decimal places).
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