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

2
2

120
120

12
12

20

Answer 1

To find out how many unsharpened colored pencils you would expect in the entire basket, you can use the proportion based on Avery's sample of 50 colored pencils.

From Avery's sample:

• Total pencils selected = 50
• Unsharpened pencils in sample = 2

To find the proportion of unsharpened pencils in the sample, you calculate:

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

Now, you can use this proportion to estimate the number of unsharpened pencils in the total basket of 300 pencils:

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

So, you would expect there to be 12 unsharpened colored pencils in the entire basket.

The correct answer is 12.