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An ornithologist who specializes in cockatoos in Australia decides to estimate the cockatoo population in a certain region. To do so, she traps 9999 cockatoos and marks them. After releasing the cockatoos and waiting a bit, she traps 210210 cockatoos and observes that 2727 of them are marked. To the nearest whole number, what is the best estimate for the cockatoo population?

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Estimate population size using proportionsright chevron icon

Full solution

Q. An ornithologist who specializes in cockatoos in Australia decides to estimate the cockatoo population in a certain region. To do so, she traps 9999 cockatoos and marks them. After releasing the cockatoos and waiting a bit, she traps 210210 cockatoos and observes that 2727 of them are marked. To the nearest whole number, what is the best estimate for the cockatoo population?
  1. Set up proportion: Step 11: Set up the proportion based on the capture-recapture method.
  2. Cross multiply: Step 22: Cross multiply to solve for pp.
  3. Divide to isolate: Step 33: Divide both sides by 2727 to isolate pp.

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