very randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?(1 point)

Responses

120
120

20
20

12
12

2
2

1 answer

To solve this problem, we can use the proportion of unsharpened pencils in the sample to estimate the expected number of unsharpened pencils in the total basket.

In the sample of 50 colored pencils, 2 are unsharpened. So, the proportion of unsharpened pencils in the sample is:

\[ \frac{2}{50} = 0.04 \]

If we apply this proportion to the total of 300 colored pencils in the basket, we can estimate the expected number of unsharpened pencils:

\[ 0.04 \times 300 = 12 \]

Therefore, the expected number of unsharpened pencils in the basket is 12.

So the correct response is:

12