31. To estimate the number of trout in a lake, we caught 50 trout, tagged and returned...

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31. To estimate the number of trout in a lake, we caught 50 trout, tagged and returned them.

Later we caught 50 trout and found that four of them were tagged. From this experiment estimate n, the total number of trout in the lake.

Hint: Let pn be the probability of four tagged trout among the 50 trout caught. Find the value of n that maximizes pn.

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