To determine the number of deer in a game preserve, a conservationist catches 523 deer tages them and let's them loose. Later 468 deer are caught, 234 of them are tagged. How many deer are in the preserve?
In the sample caught the second time 234/468 are tagged which is half of them.
So about half of the total population was tagged.
So the total population = 2 * 523
To determine the number of deer in the game preserve, we can use a method called mark and recapture. In this method, a number of animals are captured, marked with a tag, and then released back into the wild. After some time, another sample is taken, and the number of marked individuals in that sample is counted.
To calculate the estimated total number of deer in the preserve, we can use the formula:
Total number of deer = (Number of tagged deer in first sample * Total number of deer in second sample) / Number of tagged deer in second sample
Let's apply this formula to the given information:
Number of tagged deer in the first sample = 523
Number of deer in the second sample = 468
Number of tagged deer in the second sample = 234
Plugging these values into the formula:
Total number of deer = (523 * 468) / 234
Total number of deer = 103764 / 234
Total number of deer ≈ 443.897
Since the total number of deer cannot be fractional, we round this value to the nearest whole number. Therefore, the estimated number of deer in the preserve is approximately 444.