High School

Lesson 1 Data Problem:

John has to complete a research project on the ape population in Spain. He is trying to estimate the size and population of apes. He randomly catches 37 apes and marks them with paint. He releases the apes into the jungle. The following year, he observes 250 apes and finds that 10 are marked with the paint he used.

What is the best estimate for the size of the ape population?​

Answer :

Answer:925

Step-by-step explanation

The best estimate for the size of the ape population is calculated to be 925.

To estimate the ape population in Spain using the mark and recapture method, which is a common technique in wildlife biology for estimating an animal population's size.

To apply this method, we use the provided data: 37 apes were initially captured and marked, and upon a second capture of 250 apes, 10 of the marked apes were observed.

Using these numbers, the population size (N) can be estimated with the formula:

(number of marked first catch × total number of second catch) / number marked second catch = N

In this case, the calculation would be:

(37 × 250) / 10 = N

Thus:

(9250 / 10) = N

N = 925

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