An island has 12 fur seal rookeries (breeding places). To estimate the fur seal pup population in Rookery A, 6030 fur seal pups were tagged in early August. In late August, a sample of 800 pups was observed, and 321 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, 6030 fur seal pups were tagged in early August.  In late​ August, a sample of 800 pups was​ observed, and 321 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

Let x be the total number of fur seal pups in Rookery A. We can set up the following proportion: 6030 (total number of tagged pups) / x (total number of pups) = 321 (number of tagged pups observed in sample) / 800 (total number of pups in sample) Cross multiplying, we get: 6030 * 800 = 321 * x 4824000 = 321x x = 4824000 / 321 x ≈ 15030 Therefore, the estimated total number of fur seal pups in Rookery A is approximately 15,030.