Avery 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)

Question

Responses

120
120

2
2

12
12

20

:)

Answer 1

To find the expected number of unsharpened colored pencils in the basket, we can use the information provided.

Avery selected 50 colored pencils, and out of those, 2 were unsharpened. This gives us a proportion of unsharpened pencils in the sample:

\[ \text{Proportion of unsharpened pencils} = \frac{2}{50} = 0.04 \]

If the basket contains 300 colored pencils, we can now use this proportion to estimate the expected number of unsharpened pencils in the entire basket:

\[ \text{Expected number of unsharpened pencils} = 0.04 \times 300 = 12 \]

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