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(10 bonus point) Suppose a pond has N sh Where N is unknown and we want to estimate it. We rst capture 11 sh, tag

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(10 bonus point) Suppose a pond has N sh Where N is unknown and we want to estimate it. We rst capture 11 sh, tag each one, and release them back to the pond. We then capture an sh, and count the tagged ones to be X. Assume a and m are known and both captures are random. (i) (2 points) What is the underlying distribution of X ? Show your work

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