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I have the following problem (in reality I study objects which may be perfectly described by "fishes" as below):

Fishes in the pond: There are N fishes (x of blue color and y of red color) in the pond. N>>10^5, x+y=N, x>>y Each fish has a weight w - positive numerical value. Suppose that the fishing process is a random selection among all the fishes (the probability for catching of blue fish is x/N, for red - y/N).

My tasks:

1) Given minimizing the number of catched fishes estimate the number of red fishes in the pond with predefined accuracy (5-15% would be just ok).

2) Given minimizing the number of catched fishes estimate the total weight of all red fishes.

I would appreciate any reference (I believe it certainly exists since the problem looks like very typical!) to a textbook or a web page in which this or similar problem is considered.

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# Estimate the number of red fishes in the pond

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