a sample of 144 firecrackers contained 8 duds how any duds would you expect in a sample of 2016 firecracker
112
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To find the expected number of duds in a sample of 2016 firecrackers, we can use a proportion.
First, we need to determine the proportion of duds in the smaller sample of 144 firecrackers. We divide the number of duds (8) by the total sample size (144):
Proportion of duds = 8/144
Next, we can use this proportion to calculate the expected number of duds in the larger sample of 2016 firecrackers. We multiply the proportion of duds by the new sample size:
Expected number of duds = (8/144) * 2016
Calculating this, we find:
Expected number of duds = 112
Therefore, you would expect to find approximately 112 duds in a sample of 2016 firecrackers based on the proportion obtained from the smaller sample.