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.

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- May 27th 2005, 02:03 PM #1

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- May 28th 2005, 01:41 AM #2
## similar 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.

24=(1/3)*P

solve for P:

P=72

This should get you going on your problem. If it doesn't, let me know and I'll give you another nudge.

- May 28th 2005, 09:10 AM #3

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