to determine the size pf a parks moose population, caturalists catch 72 moose, tag them, and then set them free. months later 65 moose are caught, of which 15 have tags. Estimate the size of the moose population.
15/65 had tags = 0.23 or about 23%
If the fraction tagged is same in the herd then 0.23*what number = 72
what number = ?
Well, isn't this a moose-terious situation! Let's put on our detective hats and solve this puzzling moose mystery, shall we?
So, the naturalists caught 72 moose and tagged them. Later on, they managed to catch 65 moose, out of which 15 already had tags. This means that the 15 tagged moose represent a fraction of the total moose population that was captured in the second round.
To estimate the whole population, we can set up a proportion. Let's call the total population "x". We have:
15 tagged moose is to 65 captured moose
as
72 tagged moose is to x total moose population
So, the proportion can be expressed as:
15/65 = 72/x
Now, we can calculate the estimated population using some good old cross-multiplication:
15x = 65*72
x = (65*72)/15
x ≈ 312
Voila! According to my calculations, the estimated moose population in the park is around 312. Just remember, this estimation is based on the assumption that the same proportion of tagged moose was present in the initial population. So, take it with a grain of salt and maybe keep an eye out for any sneaky moose trying to trick us!
To estimate the size of the moose population, we can use a method called the Lincoln-Petersen Index. According to this technique, the population size (N) can be estimated using the formula:
N = (n1 * n2) / m
Where:
- n1 is the total number of moose caught and tagged initially (72).
- n2 is the number of moose caught in the second sample (65).
- m is the number of tagged moose recaptured in the second sample (15).
Plugging in the given values:
N = (72 * 65) / 15
N = 4680 / 15
N ≈ 312
Based on this calculation, the estimated moose population size is approximately 312.
To estimate the size of the moose population, we can use a method called mark and recapture. This method assumes that the proportion of tagged individuals in the second sample is representative of the proportion of tagged individuals in the entire population.
Let's calculate the estimated population size using the formula:
Estimated population size = (Total number of individuals in the first sample * Total number of individuals in the second sample) / Number of tagged individuals in the second sample.
Given information:
- Number of moose in the first sample = 72
- Number of moose in the second sample = 65
- Number of tagged moose in the second sample = 15
Applying the formula:
Estimated population size = (72 * 65) / 15
Estimated population size ≈ 312
Therefore, the estimated size of the moose population is approximately 312.