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In order to produce pearls mussels are cultivated in a pearl farm. In this process on average every 50th mussel produces a pearl. What is

In order to produce pearls mussels are cultivated in a pearl farm. In this process on average every 50th mussel produces a pearl. What is the probability of finding at least two pearls in 100 randomly selected mussels? Compute the probability first exactly and then compute an approximation using the Poisson distribution. Compare the two results.

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