In a lake with N fish, n1 of them tagged, the probability of obtaining m recaptured and

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In a lake with N fish, n1 of them tagged, the probability of obtaining m recaptured and n2ˆ’m previously uncaught fish in a simple random sample of size n2 is
In a lake with N fish, n1 of them tagged,

The maximum likelihood estimator Ṅ of N is the value which maximizes L(N)€”it is the value that makes the observed value of m appear most probable if we know n1 and
n2. Find the maximum likelihood estimator of N. When is L (N) ‰¥ L (N ˆ’ 1)?

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