Question

One day, 45 frogs were captured from a pond, marked and then returned to the pond. The next day, 40 frogs were observed in the pond, of which 10 had been marked the previous day. Assuming the marked frogs are equally distributed among all the frogs in the pond, what is the best estimate of how many frogs live in the pond

Answer 1

Using the mark and recapture method and the proportion of marked frogs in the second sample, the estimated total number of frogs in the pond is calculated to be 180.

Step-by-step explanation:

To estimate the number of frogs living in the pond using the mark and recapture method, we can use the proportion of marked frogs in the second sample to estimate the total population. In the case described, 45 frogs were initially captured, marked, and released. The next day, 40 frogs were captured, and 10 of these were found to be marked.

The ratio of the second catch to the marked frogs from the second catch (40/10) should be approximately equal to the ratio of the total population to the number of marked frogs from the first catch (N/45). So, we set up a proportion: 40/10 = N/45 and solve for N.

Multiplying both sides of the equation by 45 gives us: 4 * 45 = N, which simplifies to N = 180. Therefore, the best estimate of the total number of frogs in the pond is 180.

Answer 2

45

Step-by-step explanation:

estimate