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Faiza is studying the population of rabbits in a park - Edexcel - GCSE Maths - Question 15 - 2022 - Paper 2

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Faiza is studying the population of rabbits in a park. She wants to estimate the number of rabbits in the park. On Monday she catches a random sample of 20 rabbits ... show full transcript

Worked Solution & Example Answer:Faiza is studying the population of rabbits in a park - Edexcel - GCSE Maths - Question 15 - 2022 - Paper 2

Step 1

Explain why Albie's estimate cannot be correct.

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Answer

Albie's estimate cannot be correct because the number of rabbits sampled (55) and the marked ones (40) indicates an unreasonably high proportion of marked rabbits.

If 40 out of 55 rabbits are marked, this implies that: Proportion of marked rabbits=40550.727,\text{Proportion of marked rabbits} = \frac{40}{55} \approx 0.727, which suggests a very high marking rate. If this were accurate, it would indicate that much more than half of the total population is tagged, which is unlikely unless an extensive tagging campaign was conducted. In most ecological settings, a tag-to-total population ratio this high would be unsustainable.

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