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?
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.