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A team of conservation biologists, surveying a population of frogs on an island, captured and marked 312 individuals in the first sample. In a second sampling, 3 days later, the team caught 140 individuals of which 26 were previously marked. The total number of frogs on the island is estimated to be ________. (Use decimal notation, not fractions or percentage)
Enter only the numerical value in the space provided below
    Correct answer is between '1660,1700'. Can you explain this answer?
    Most Upvoted Answer
    A team of conservation biologists, surveying a population of frogs on ...
    You can use the formula Total Population/ Marked Animals = Caught Individuals/ Marked individual. Here it would become Total Population = 312*140/26 = 1680.
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    A team of conservation biologists, surveying a population of frogs on ...
    Given information:
    - In the first sampling, 312 frogs were captured and marked.
    - In the second sampling, 140 frogs were captured, out of which 26 were previously marked.

    To find:
    The total number of frogs on the island.

    Approach:
    To estimate the total number of frogs on the island, we can use the mark and recapture method, also known as the Lincoln-Petersen index. The principle behind this method is that the ratio of marked to unmarked individuals in the second sampling should be similar to the ratio in the entire population.

    Step 1: Calculate the capture-recapture ratio
    - Let M be the number of frogs marked in the first sampling (312).
    - Let C be the number of frogs captured in the second sampling (140).
    - Let R be the number of marked frogs recaptured in the second sampling (26).

    The capture-recapture ratio (R/C) can be calculated as:
    R/C = M/N
    Where N is the total number of frogs on the island.

    Step 2: Calculate the total number of frogs
    Rearranging the equation, we get:
    N = M * C / R

    Substituting the given values:
    N = 312 * 140 / 26
    N ≈ 1680

    Answer:
    The estimated total number of frogs on the island is approximately 1680.
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    A team of conservation biologists, surveying a population of frogs on an island, captured andmarked 312 individuals in the first sample. In a second sampling, 3 days later, the team caught 140individuals of which 26 were previously marked. The total number of frogs on the island isestimated to be ________. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided belowCorrect answer is between '1660,1700'. Can you explain this answer?
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    A team of conservation biologists, surveying a population of frogs on an island, captured andmarked 312 individuals in the first sample. In a second sampling, 3 days later, the team caught 140individuals of which 26 were previously marked. The total number of frogs on the island isestimated to be ________. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided belowCorrect answer is between '1660,1700'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A team of conservation biologists, surveying a population of frogs on an island, captured andmarked 312 individuals in the first sample. In a second sampling, 3 days later, the team caught 140individuals of which 26 were previously marked. The total number of frogs on the island isestimated to be ________. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided belowCorrect answer is between '1660,1700'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A team of conservation biologists, surveying a population of frogs on an island, captured andmarked 312 individuals in the first sample. In a second sampling, 3 days later, the team caught 140individuals of which 26 were previously marked. The total number of frogs on the island isestimated to be ________. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided belowCorrect answer is between '1660,1700'. Can you explain this answer?.
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