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?
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To determine the expected number of defective parts out of 2500, we can use a proportion based on the proportion of defective parts found in the sample of 200.
Step 1: Calculate the proportion of defective parts in the sample.
In this case, the proportion of defective parts in the sample is 3 out of 200.
Proportion of defective parts = 3/200 = 0.015
Step 2: Use the proportion to calculate the expected number of defective parts in the larger population.
To find the expected number of defective parts out of 2500, we multiply the proportion found in the sample by the total number of parts.
Expected number of defective parts = 0.015 * 2500 = 37.5
Therefore, approximately 37.5 parts would be expected to be defective out of 2500 parts. Since you cannot have a fraction of a part, we round it to the nearest whole number. Hence, we can expect about 38 parts to be defective out of 2500 parts.