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

12
12

20
20

2
2

120

Answer 1

To find the expected number of unsharpened pencils in the basket of 300 colored pencils, we can use the proportion of unsharpened pencils that Avery found in her sample.

Avery selected 50 colored pencils and found that 2 of them were not sharpened. The proportion of unsharpened pencils in her sample is:

\[ \frac{2 \text{ (unsharpened pencils)}}{50 \text{ (total pencils sampled)}} = \frac{1}{25} \]

If we apply this proportion to the total number of pencils in the basket (300), we can expect the number of unsharpened pencils:

\[ \text{Expected unsharpened pencils} = \frac{1}{25} \times 300 = 12 \]

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