An island has 12 fur seal rookeries (breeding places). To estimate the fur seal pup population in Rookery A, 4571 fur seal pups were tagged in early August. In late August, a sample of 1000 pups was observed, and 158 of these were found to have been previously tagged. Use a proportion to estimate the total number of fur seal pups in Rookery A.

Question

An island has 12 fur seal rookeries​ (breeding places).  To estimate the fur seal pup population in Rookery​ A, 4571 fur seal pups were tagged in early August.  In late​ August, a sample of 1000 pups was​ observed, and 158 of these were found to have been previously tagged.  Use a proportion to estimate the total number of fur seal pups in Rookery A.

Bot GPT 3.5 · Answer

First, calculate the proportion of tagged pups in the sample: 158 tagged pups / 1000 total pups = 0.158 Next, use this proportion to estimate the total number of pups in Rookery A: 4571 tagged pups / 0.158 = 28,917 fur seal pups in Rookery A.