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Bear Population
Bear Population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?
Expert Solution
Assume that the size of the bear population is x. Then we can set up the following equation.
50/x=2/100
So, cross-multiplying each other, we have
2x=50*100=5000
So,
x=5000/2=2500
So, the conservationist's estimate of the size of the bear population is 2500
The idea is that we assume that the ratio of the tagged bears keeps the same.
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