2. Ronald works in an Ornithology department. The seniors asked him to find out the best estimate the local bird population. So he tied a belt around legs of 40 birds. A few days later, he observed 520 birds, 34 of which had belts. To the nearest whole numbe what is the best estimate for the bird population?

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UpStudy AI · Accepted Answer

1. Let the total bird population be $$ N $$.

2. The proportion of tagged birds in the total population should equal the proportion observed in the later sample:
   $$
   \frac{40}{N} = \frac{34}{520}
   $$

3. Cross multiply to solve for $$ N $$:
   $$
   40 \times 520 = 34 \times N
   $$
   $$
   20800 = 34N
   $$

4. Divide both sides by $$ 34 $$:
   $$
   N = \frac{20800}{34} \approx 611.76
   $$

5. Rounding to the nearest whole number gives:
   $$
   N \approx 612
   $$

Thus, the best estimate for the bird population is $$ 612 $$ birds.
The best estimate for the bird population is 612 birds.

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