Given the table:
Shoes 1 2 3 4 5
Frequency 12 20 38 20 10
Let's find the probability that a teenager has exactly 2 pairs of shoes.
To find the probability, apply the formula:
![P(\text{exactly 2) =}\frac{frequency\text{ at 2}}{\text{total frequency}}](https://img.qammunity.org/2023/formulas/mathematics/college/wna5s3zi1w6mflnviyjshgu2mxhcyqid0h.png)
Where:
Total frequency = 12 + 20 + 38 + 20 + 10 = 100
Frequency at 2 = 20
Hnece, we have:
![P(\text{exactly 2) = }(20)/(100)=0.2](https://img.qammunity.org/2023/formulas/mathematics/college/bxu3305h58qh544fdbqn9f567dkr9aaeav.png)
Thereforem the probability that a teenager has exactly 2 pairs of shoes in their closet is 0.2
ANSWER