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For a mark-recapture survey, when there were 12 marked rabbits recaptured to the total 150 rabbits (includes both marked and unmarked) in the second capture, we know scientisits have initially marked 92 rabbits at the beginning. The estmated total rabbit population would be

Answer :

Answer:

The estimated total rabbit population would be [tex]1150[/tex]

Explanation:

Given -

Total number of rabbit marked (m) [tex]= 150[/tex]

Total number of marked rabbit recaptured(n)  [tex]= 12[/tex]

Total number of initially marked rabbit (M) [tex]= 92[/tex]

Let the total rabbit population be "N"

Now as we know that

[tex]\frac{N}{m} = \frac{M}{n}[/tex]

On rearranging, we get the following equation -

[tex]N = \frac{M*m}{n}[/tex]

Substituting the given values in above equation we get -

[tex]\frac{92 * 150}{12} \\[/tex]

[tex]N = 1150[/tex]

The estimated total rabbit population would be [tex]1150[/tex]

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