SOLUTION: To estimate the size of the bear population on the Keweenaw Penninsula, conservationists captured, tagged and released 50 bears. One year later, a random sample of 100 bears inclu

Question 781984: To estimate the size of the bear population on the Keweenaw Penninsula, 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? Explain in detail the work.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The proportion of tagged bears when they were first released into the population was , using p as the population size.
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The concentration of tagged bears was diluted a year later, to . These would be equal ratios, ignoring deaths or births. Note, I say "the concentration", which here is a fraction of the total population and this fraction of the population is 2/100 of the population.

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