Question

A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?

Answer 1

Z = 0.75x + 0.25y

Explanation:

Two bear types are identified :

Black bears and Grizzly bears

9 out of 12 = black bears ; Hence, 3 are grizzled

For the model:

For a bear population of Number x

Total bear population = black bear, x + grizzled bear, y

Proportion of black bear = 9/ 12 = 0.75

Grizzled bear = 1 - 0.75 = 0.25

Total bear population , Z= 0.75x + 0.25y

Hence,

Z = 0.75x + 0.25y