Use of the internet for shopping is increasing​ dramatically, but still is somewhat age dependent. When a popular web site that sells books asked the age of users who bought products from them over the​ internet, they obtained the following data. What is the probability that a buyer on this web site is aged 60 dash 69 question mark

Start 8 By 2 Table 1st Row 1st Column Age Group 2nd Column Number 2nd Row 1st Column 10 minus 19 2nd Column 1 comma 940 3rd Row 1st Column 20 minus 29 2nd Column 3 comma 662 4st Row 1st Column 30 minus 39 2nd Column 2 comma 898 5st Row 1st Column 40 minus 49 2nd Column 871 6st Row 1st Column 50 minus 59 2nd Column 362 7st Row 1st Column 60 minus 69 2nd Column 385 8st Row 1st Column 70 minus 79 2nd Column 123 EndTable

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
15 hours ago

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%**.