Question

Rangers tagged and released 300 salmon into a Maine lake. A

month later, fishermen on the lake were surveyed. They reported

catching 80 salmon, 12 of which had tags. Using this sample,

estimate the salmon population in the lake.

Answer 1

Answer:

2,000 salmon

Step-by-step explanation:

The point estimate of the fraction of salmon that corresponds to the tagged Salmon released by the rangers, based on the fishermen report, is:

$p = \frac{12}{80}\\p=0.15$

This means that the 300 salmon released into the lake correspond to 15% of the total salmon population. The estimate for the salmon population is:

$P= \frac{300}{0.15}\\P=2,000\ salmon$

The estimate is 2,000 salmon.

Answer 2

Answer:

The estimate of the salmon population will be 2,000

Step-by-step explanation:

Rangers tagged and released 300 salmon into a Maine lake.

The fishermen reported catching 80 salmon of which 12 had tags

Thus we have 12/80 as a fraction of the tagged and released 300

 12/80 = 0.15 which is about 15% of the population of tagged and released 300.

To then estimate the salmon population, we have 300/0.15 = 2,000