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The critically endangered Mauis dolphin is currently restricted to a relatively small
Chapter 14, Problem 10(choose chapter or problem)
The critically endangered Mauis dolphin is currently restricted to a relatively small stretch of coastline along the west coast of New Zealands North Island. The dolphins are captured by just collecting samples of DNA and tagged by identifying their DNA fingerprint. A 2010 2011 capture-recapture study captured and tagged 26 Mauis dolphins in 2010. In 2011, 27 Mauis dolphins were recaptured and through their DNA, 12 were identified as having been tagged in 2010. Based on these figures, estimate the population of Mauis dolphins in 2011. [Source: Oremus, M., et al, Distribution, group characteristics and movements of the critically endangered Mauis Dolphin (Cephalorhynchus hectori maui). Endangered Species Research, preprint.]
Questions & Answers
QUESTION:
The critically endangered Mauis dolphin is currently restricted to a relatively small stretch of coastline along the west coast of New Zealands North Island. The dolphins are captured by just collecting samples of DNA and tagged by identifying their DNA fingerprint. A 2010 2011 capture-recapture study captured and tagged 26 Mauis dolphins in 2010. In 2011, 27 Mauis dolphins were recaptured and through their DNA, 12 were identified as having been tagged in 2010. Based on these figures, estimate the population of Mauis dolphins in 2011. [Source: Oremus, M., et al, Distribution, group characteristics and movements of the critically endangered Mauis Dolphin (Cephalorhynchus hectori maui). Endangered Species Research, preprint.]
ANSWER:Step 1 of 2
Estimate the number of dolphin population Since in this problem number of sample relies on three variable we will use two sample method or capture-recapture method.
By definition the method is
Where 
