SUPPOSE BIOLOGISTS TAGGED 30 BEAVERS IN A FOREST PRESERVE. THE NEXT MONTH THEY CAUGHT 30 BEAVERS AND FOUND THAT 5 BEAVERS HAD TAGS. ESTIMATE THE NUMBER OF BEAVERS IN THE FOREST PRESERVE. BE SURE TO SHOW HOW YOU SOLVED THE PROBLEM.
What if there were 24 beavers caught each time and 8 were tagged the second time?
Assuming that we are catching a random set of beavers each time, and none were tagged before we caught the first group, then there are about 72 beavers in the population. Here's why:
The second time through, 1/3 of the beavers caught were tagged. Since it's a random set from the population, then about 1/3 of the population should be tagged.
Since none of the population was tagged before we got there, and we only tagged 24, then 24 must be 1/3 of the total population.
solve for P:
This should get you going on your problem. If it doesn't, let me know and I'll give you another nudge.