To estimate the size of the bear population on the Keweenaw Peninsula, conservatists 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?
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In this problem, the conservationists apply the mark and recapture method to estimate the bear population size
So to solve, we use its formula which is
` ` `N=(MC)/R`
N is the estimate of population size,
M is the total number of animals captured and marked on the first visit,
C is the total number of animals captured on the second visit, and
R is the number of animals captured on the first visit that were then recaptured on the second visit.
Substituting M=50, C=100, and R=2 to the formula yields:
Hence, the conservationist's estimate of the size of bear population is 2500.
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