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...

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?

lemjay | Certified Educator

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`

where

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:

`N=(50*100)/2`

`N=2500`

Hence, the conservationist's estimate of the size of bear population is 2500.