To find the probability that a buyer on this website is aged 60 to 69, we first need to determine the total number of buyers and then the number of buyers in the specified age group.
Here's the data you've provided in a more readable format:
| Age Group | Number of Buyers |
|---------------|------------------|
| 10 - 19 | 1,940 |
| 20 - 29 | 3,662 |
| 30 - 39 | 2,898 |
| 40 - 49 | 871 |
| 50 - 59 | 362 |
| 60 - 69 | 385 |
| 70 - 79 | 123 |
### Step 1: Calculate the Total Number of Buyers
We will sum up all the buyers across all age groups:
\[
\text{Total} = 1,940 + 3,662 + 2,898 + 871 + 362 + 385 + 123
\]
Calculating that:
\[
\text{Total} = 1,940 + 3,662 + 2,898 + 871 + 362 + 385 + 123 = 10,241
\]
### Step 2: Find the Number of Buyers Aged 60-69
From the table, the number of buyers aged 60-69 is 385.
### Step 3: Calculate the Probability
The probability \( P \) that a buyer is aged 60-69 can be calculated using the formula:
\[
P(\text{aged 60-69}) = \frac{\text{Number of buyers aged 60-69}}{\text{Total number of buyers}}
\]
Substituting in the numbers:
\[
P(\text{aged 60-69}) = \frac{385}{10,241}
\]
Now we'll calculate this value:
\[
P(\text{aged 60-69}) \approx 0.0376
\]
### Final Result
The probability that a buyer on this website is aged 60 to 69 is approximately **0.0376** or **3.76%**.