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Medium · Probability & Statistics · Quant Trader interview question · probability, estimation, capture-recapture, population-size
You are working as a quantitative analyst for an environmental agency. You need to estimate the fish population in a large lake. You employ the capture-recapture method. In the first catch, you capture and tag 100 fish. A week later, you capture another sample of 50 fish, and you observe that 10 of these 50 fish are tagged. Using the Lincoln-Petersen method, what is your estimate of the total fish population in the lake?