Jerry selects 20 boxes of crayons and finds that 2 of them have at least one broken crayon. If there are 130 boxes of crayons on the shelf, how many boxes would you expect to have at least one broken crayon?

Probability and StatisticsProportionStatistical InferenceExpected Value
2025/4/8

1. Problem Description

Jerry selects 20 boxes of crayons and finds that 2 of them have at least one broken crayon. If there are 130 boxes of crayons on the shelf, how many boxes would you expect to have at least one broken crayon?

2. Solution Steps

We can set up a proportion to solve this problem. Let xx be the number of boxes with at least one broken crayon out of 130 boxes. We have the proportion:
220=x130\frac{2}{20} = \frac{x}{130}
To solve for xx, we can cross-multiply:
2×130=20×x2 \times 130 = 20 \times x
260=20x260 = 20x
Divide both sides by 20:
x=26020x = \frac{260}{20}
x=13x = 13

3. Final Answer

13 boxes

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