a sample of 144 firecrackers contained 8 duds how many duds would you expect in a sample of 2016 firecracker.
8/144 = 1/18.
N = (1/18) * 2016 = 112 Duds.
To find out how many duds you would expect in a sample of 2016 firecrackers, you can use proportional reasoning.
First, calculate the proportion of duds in the initial sample of 144 firecrackers.
Proportion of duds in the initial sample = (Number of duds / Total number of firecrackers)
= (8 / 144)
Now, use this proportion to estimate the number of duds in the larger sample of 2016 firecrackers.
Number of duds in the larger sample = (Proportion of duds in initial sample) x (Total number of firecrackers in the larger sample)
= (8 / 144) x 2016
Calculating this expression will give you the expected number of duds in the larger sample of 2016 firecrackers.
Expected number of duds in a sample of 2016 firecrackers = (8 / 144) x 2016
Simplifying this expression will give you the final answer.