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On a line transect survey, the observer recorded the following distances (in meters) from detected birds to the transect line: 0, 1, 1, 2, 3, 3, 4, 6, 7, 7, 9, 12, 17. The transect line is 50 m long. Estimate the density of the bird population by three of the following methods. List key assumptions that go with each method you use.

(a) Narrow strip

(b) Smooth-by-eye

(c) Exponential detectability

(d) Half-normal detectability

(e) Normal kernel

(f) Fourier series

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