Question

a factory worker inspected a batch of wooden boxes. she found that 3 were flawed and 12 were not. considering this data, how many flawed boxes would you expect the inspector to find in a batch of 50 boxes? flawed boxes

Explanation:

Step1: Calculate the proportion of flawed boxes

The total number of boxes inspected initially is $3 + 12=15$. The proportion of flawed boxes is $\frac{3}{15}=\frac{1}{5}$.

Step2: Find the expected number of flawed boxes in 50 - box batch

Multiply the proportion of flawed boxes by the total number of boxes in the new batch. So, the expected number of flawed boxes in 50 boxes is $\frac{1}{5}\times50 = 10$.

Answer:

10