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A lake contains g gudgeon and r roach. You catch a sample of size n, on the understanding that roach are returned to the lake
A lake contains g gudgeon and r roach. You catch a sample of size n, on the understanding that roach are returned to the lake after being recorded, whereas gudgeon are retained in a keep-net.
- Find the probability that your sample includes k gudgeon.
- Show that as r and g increase in such a way that g/(r + g) p, the probability distribution tends to the binomial.
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