500 racoons were caught. Please provide a good explanation for this problem

Question

1.500 racoons were caught. They were released after being

vaccinated against rabies. To estimate the raccoon population in the area,

40 were caught during the summer, and only 15 had tags. Estimate the raccoon population.

Why would you use the E(x) = ra / n formula? Please provide a good explanation for this problem.

Answer 1

first you need to find the percentage of the population we have.

so

(15/ 40) * 100 = 37.5 %

37.5 % / 100 = 0.375

now you want to find out with this rate of population that we found above, how many racoons do we have now if we used to have 1500 racoons.

so

0.375 *X = 1500

X = 4000

is the population of the racoons