Question

packaging problems | frequency
box printing error | 5
underweight box | 10
too many raisins | 20
no problems | 965
total | 1,000
a cereal manufacturer checks a set number of cereal boxes every day to better understand problems in the manufacturing process. the table at right describes possible packaging problems and the frequency of each problem. if the cereal manufacturer packages 10,000 boxes of cereal a day, about how many boxes would you expect to have too many raisins?
blank boxes

Explanation:

Step1: Find the proportion of "too many raisins" in the sample.

In the sample of 1000 boxes, the number of boxes with "too many raisins" is 20. So the proportion $p$ is $\frac{20}{1000}=0.02$.

Step2: Apply the proportion to the total number of boxes (10,000).

To find the expected number of boxes with "too many raisins" in 10,000 boxes, we multiply the total number of boxes by the proportion: $10000\times0.02 = 200$.

Answer:

200