A survey showed the following information on the ages and party affiliations of registered voters in a certain city.

Age Republican Democrat Independent Other Total 18–28

205

432

98

112

847

**29–38**

311

301

109

83

804

39–49

250

251

150

122

773

≥ 50

272

283

142

107

804

Total

1,038

1,267

499

424

3,228

Compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.

The voter is between 39 and 49 and is registered as a Democrat.

To compute the probability that a randomly chosen voter from the survey is between 39 and 49 years old and is registered as a Democrat, we can use the following steps:

1. **Identify the total number of voters**:  
   The total number of registered voters in the survey is 3,228.

2. **Identify the number of voters between 39 and 49 who are Democrats**:  
   From the table, the number of voters in the age group 39–49 who are Democrats is 251.

3. **Calculate the probability**:  
   The probability \( P \) that a randomly chosen voter is between 39 and 49 years old and is a Democrat can be calculated using the formula:

   \[
   P(\text{39-49 and Democrat}) = \frac{\text{Number of 39-49 Democrats}}{\text{Total number of voters}}
   \]

   Plugging in the numbers:

   \[
   P(\text{39-49 and Democrat}) = \frac{251}{3228}
   \]

   Now, we calculate this fraction:

   \[
   P(\text{39-49 and Democrat}) \approx 0.0777
   \]

   Rounding this to the nearest hundredth gives:

   \[
   P \approx 0.08
   \]

Thus, the probability that a randomly chosen voter is between 39 and 49 years old and is registered as a Democrat is approximately **0.08**.

### Do you want details or have any questions? 
Here are some related questions you might consider:

1. What is the probability that a randomly chosen voter is registered as a Republican?
2. How many voters are there in total for each age group?
3. What is the proportion of Independents among the total voters?
4. What is the probability of selecting a voter who is either a Democrat or an Independent?
5. How do these probabilities change if we consider only the age group of 29-38?

**Tip:** When calculating probabilities, always make sure your total is correct to ensure accurate results.

Compute the probability that a randomly chosen voter from the survey will satisfy the following: The voter is between 39 and 49 and is registered as a Democrat.

Discover how to compute the probability that a randomly chosen voter is between 39 and 49 years old and registered as a Democrat, using data from a survey of 3,228 voters. Learn the step-by-step calculation leading to a result of approximately 0.08.

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