Problema Solution

To estimate the size of the bear population on the Keweena Peninsula, conservationist captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationists estimate of the size of the bear population?

Answer provided by our tutors

Since 2 of 100 bears were among those originally tagged, there will be 50 bears original tagged out of 'b' the total number of bears.

Thus


2 / 100 = 50 / b


b = (50 * 100) / 2


d = 2500


There are about 2500 bears on Keweena Peninsua.