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.
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. 1200
c. 1920
d. 6000
We can use a proportion to solve the problem. Let x be the estimated number of deer in North Carolina.
The proportion is:
Number of tagged deer in second sample / Total size of second sample = Number of tagged deer in first sample / Total size of deer population
Plugging in the values given in the problem, we get:
16/800 = 120/x
Simplifying the proportion, we get:
16x = 96000
x = 6000
Therefore, the estimated number of deer in North Carolina is 6000, option d.