Three out of 200 machine parts were found to be defective.
About how many parts would be expected to be defective out of 2500 parts?
Cross multiply and solve for x.
3/200 = x/2500
38
To determine the expected number of defective parts out of 2500, we can use a proportion based on the given information.
First, we need to find the proportion of defective parts in the sample of 200 parts. We can do this by dividing the number of defective parts by the total number of parts in the sample:
Proportion of defective parts in the sample = Number of defective parts / Total number of parts in the sample
Proportion of defective parts in the sample = 3 / 200
Next, we can use this proportion to estimate the number of defective parts in the larger sample of 2500 parts. We can set up a proportion based on the assumption that the proportion of defective parts remains the same:
Proportion of defective parts in the larger sample = Number of defective parts in the larger sample / Total number of parts in the larger sample
Proportion of defective parts in the larger sample = (3 / 200) = (x / 2500)
To solve for 'x', we can cross-multiply and solve the equation:
3 * 2500 = 200 * 'x'
7500 = 200 * 'x'
'x' = 7500 / 200
'x' ≈ 37.5
Therefore, we can expect approximately 37 or 38 parts to be defective out of the 2500 parts.