Question
Random sampling quick check math
No, because the sample is not chosen randomly.
testing every fiftieth light bulb in the production line
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?
12
251
41
These are the answers your welcome
No, because the sample is not chosen randomly.
testing every fiftieth light bulb in the production line
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?
12
251
41
These are the answers your welcome
Answers
GPT-4o mini
To determine how many unsharpened colored pencils are expected in the entire basket, we can set up a proportion based on Avery's sample.
In Avery's sample of 50 colored pencils, 2 are unsharpened. So the proportion of unsharpened pencils in the sample is:
\[
\text{Proportion of unsharpened pencils} = \frac{2}{50} = 0.04
\]
Now, to find the expected number of unsharpened colored pencils in the entire basket of 300 pencils, we can multiply this proportion by the total number of pencils:
\[
\text{Expected number of unsharpened pencils} = 0.04 \times 300 = 12
\]
Therefore, the expected number of unsharpened colored pencils in the basket is **12**.
In Avery's sample of 50 colored pencils, 2 are unsharpened. So the proportion of unsharpened pencils in the sample is:
\[
\text{Proportion of unsharpened pencils} = \frac{2}{50} = 0.04
\]
Now, to find the expected number of unsharpened colored pencils in the entire basket of 300 pencils, we can multiply this proportion by the total number of pencils:
\[
\text{Expected number of unsharpened pencils} = 0.04 \times 300 = 12
\]
Therefore, the expected number of unsharpened colored pencils in the basket is **12**.