A scientist counts 80 fishes in a pond. He marks them all with a UV pen. The next day he counts 60 fish, 24 of which have already been marked with his UV pen. Use this information to estimate the total fish in the pond:
Question
A scientist counts 80 fishes in a pond. He marks them all with a UV pen. The next day he counts 60 fish, 24 of which have already been marked with his UV pen. Use this information to estimate the total fish in the pond:
Solution
Sure, here's how you can estimate the total number of fish in the pond using the Mark and Recapture method:
Step 1: The scientist initially marked 80 fish.
Step 2: The next day, he caught 60 fish, 24 of which were marked.
Step 3: The proportion of marked fish in the second sample (24 out of 60, or 0.4) should be roughly the same as the proportion of marked fish in the entire pond (80 out of the total population).
Step 4: To estimate the total population, you can set up the equation 80/Total Population = 24/60.
Step 5: Solving for the Total Population gives you Total Population = 80 * (60/24) = 200.
So, the scientist can estimate that there are about 200 fish in the pond.
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