Random Sampling Quick Check

Question

3 of 53 of 5 Items
Question
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)
Responses

20
20

120
120

12
12

2

Answer 1

The correct answer is 12.

To find the expected number of unsharpened colored pencils, you would set up a proportion:

(2 unsharpened colored pencils / 50 total colored pencils) = (x unsharpened colored pencils / 300 total colored pencils)

Solving for x, you would get x = (2/50) * 300 = 12.

Therefore, you would expect 12 colored pencils to be unsharpened.