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Chapter 4: Problem 128

It is often difficult to determine the concentration of a species in solution, particularly if it is a biological species that takes part in complex reaction pathways. One way to do this is through a dilution experiment with labeled molecules. Instead of molecules, however, we will use fish. An angler wants to know the number of fish in a particular pond, and so puts an indelible mark on 100 fish and adds them to the pond's existing population. After waiting for the fish to spread throughout the pond, the angler starts fishing, eventually catching 18 fish. Of these, five are marked. What is the total number of fish in the pond?

Short Answer

Expert verified
The total number of fish in the pond is estimated to be 360.

Step by step solution

01

Identify Known Variables

The angler marked and released 100 fish into the pond. Then, 18 fish were caught in total, out of which 5 were marked ones.
02

Apply the Estimation Formula

To find the total estimated fish population in the pond, use the formula: (Number of marked individuals in first sample * Total number of individuals in second sample) / Number of marked individuals in second sample. Substitute the known values into the formula.
03

Calculation

Substitute the known values into the formula. So, (100 * 18) / 5 = 360. Hence, the estimated total fish population in the pond is 360.

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