Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released back into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina.
A. 800
B. 1,200
C. 1,920
D. 6,000.
We can use a proportion to estimate the number of deer in North Carolina:
number of tagged deer / total number of deer caught = number of tagged deer from original sample / total number of deer in population
We can plug in the given values:
16 / 800 = 120 / x
Cross-multiplying, we get:
16x = 120 * 800
Simplifying:
x = 1,920
Therefore, the estimated number of deer in North Carolina is 1,920. The answer is (C).